SlideShare a Scribd company logo
2D & 3D Shapes
Perimeter, Area, Surface Area, and Volume
2D vs 3D
• 2-Dimensional
• It has length and width but no
height
• is a flat object
• 3-Dimensional
• It has length, width and
height
2D vs. 3D
in animation
Laid out in a flat surface Has depth
Perimeter, Area, Surface Area, Volume
3D
2D
SQUARE & CUBE
Perimeter, Area, Surface Area, Volume
3D
2D
Perimeter and Area of a Square (2D)
boundary space occupied
Perimeter = 4s
2
Area = s
• If the length of the side of a
square is 11cm. Find its
area and perimeter.
Perimeter and Area of a Square
Exercise problem 1:
Perimeter = 4s
11
= 4 (11)
or 11+11+11+11
=44 cm
2
Area = s
= 11 or 11x11
=121 cm
2
2
• My room is a perfect square. One
side of my room measures 15 ft.
Try finding the perimeter and area
of my room.
Perimeter and Area of a Square
Exercise problem 2:
Perimeter = 4s
15
2
Area = s
Surface Area and Volume of a CUBE (3D)
how much it takes to wrap space occupied
What is the formula for Surface Area and Volume of a CUBE ?
S.A. and Volume Formula
Surface Area and Volume of a CUBE (3D)
Surface area = 6s²
s
s
s
Volume = s³
• Find the Surface Area and
Volume
Exercise problem 3:
10
in.
Surface Area and Volume of a CUBE (3D)
Surface area = 6s² Volume = s³
= 6(10)²
= 6(100)
= 600 in²
= (10)³
= (10x10x10)
= 1000 in³
• Find the Surface Area and
Volume
Exercise problem 4:
8
in.
Surface Area and Volume of a CUBE (3D)
Surface area = 6s² Volume = s³
Solve for Perimeter, Area, Surface Area, and Volume
Perimeter = 4s
Area = s²
Surface area = 6s²
Volume = s³
SUMMARY OF THE FORMULA
2D shape Perimeter Area 3D shape Surface Area Volume
1. Square 4s s² 1. Cube 6s² s³
RECTANGLE & CUBOID
Perimeter, Area, Surface Area, Volume
3D
2D
*aka Rectangular Prism
width
length
RECTANGLE
Perimeter and Area of a Rectangle
Perimeter and Area of a Rectangle
Perimeter and Area of a Rectangle
Perimeter = 2l+2w
width
length
Area = lw
• My flower bed is 5 meters long and 3.5
meters wide. I want to put a fence over
it. How long should my fence be?
Exercise problem 5:
3.5
Perimeter and Area of a Rectangle
5
Perimeter = 2l+2w
• What is the area of my flower
bed?
Exercise problem 5:
3.5
Perimeter and Area of a Rectangle
5
Area = lw
Surface Area and Volume of a CUBOID (3D)
*aka Rectangular Prism
Surface Area and Volume of a CUBOID
length
height
Surface Area and Volume of a CUBOID (3D)
Surface Area and Volume of a CUBOID
FORMULA
length
height
Surface Area and Volume of a CUBOID
Surface Area = 2lw + 2lh + 2wh
Or = 2 (lw + lh + wh)
Volume = lwh
Exercise problem 6:
Surface Area & Volume of a Cuboid
Surface Area = 2 (lw + lh + wh)
Volume = lwh
Exercise problem 7:
Surface Area & Volume of a Cuboid
Surface Area = 2 (lw + lh + wh)
Volume = lwh
REVIEW:
1. Convert mixed number to
fractions
2. Multiply
3. Simplify
4. Convert back
SUMMARY OF THE FORMULA
2D shape Perimeter Area 3D shape Surface Area Volume
1. Square 4s s² 1. Cube 6s² s³
2. Rectangle 2l+2w lw 2. Cuboid 2lw + 2lh + 2wh lwh
TRIANGLE & REGULAR PYRAMID
Perimeter, Area, Surface Area, Volume
3D
2D
TRIANGLE
• A triangle is a three-sided closed
figure
• 3 sides and 3 vertices.
The triangle can be classified as
equilateral, isosceles, or scalene on the
basis of the length of it’s sides.
Types of Triangle
• Equilateral or Equiangular Triangle:
all sides and angles of a triangle are
equal
• Isosceles Right Triangle: 2 sides are
equal and one angle is 90°
• Obtuse Isosceles Triangle: 2 sides
are equal and one angle is an
obtuse angle
• Acute Isosceles Triangle: all 3
angles are acute angles and 2 sides
measure the same
• Right Scalene Triangle: any one of
the angles is a right angle and all
the 3 sides are unequal
• Obtuse Scalene Triangle: one
obtuse angle with sides of different
measures
• Acute Scalene Triangle: 3 unequal
sides and 3 acute angles
Mixture
Perimeter and Area of a Triangle FORMULA
a b
c
Perimeter = a+b+c
Area = ½ × base × height
= ½ bh
height
Perimeter & Area of a Triangle
Practice Problems
1. What is the perimeter of a triangle with sides lengths 3 cm, 6
cm, and 4 cm?
a) 32 cm
b) 13 cm
c) 12 cm
d) 16 cm
Perimeter & Area of a Triangle
Practice Problems
2. The side of an equilateral triangle is 3 cm in length. Find the
perimeter of the triangle.
a) 9 cm
b) 13 cm
c) 12 cm
d) 16 cm
Perimeter & Area of a Triangle
Practice Problems
3. The perimeter of a triangle is 15 cm. The lengths of the two
sides are 5 cm and 4 cm. Find the length of the third side.
a) 6 cm
b) 5 cm
c) 3 cm
d) 4 cm
Perimeter & Area of a Triangle
Practice Problems
4. The base of a triangle is 8 cm. Its height is 6 cm. What is the
area?
a) 24 cm sq.
b) 44 cm sq.
c) 12 cm sq.
d) 16 cm sq.
Perimeter & Area of a Triangle
Practice Problems
5. What is the area of this triangle? (cm)
a) 45 cm sq.
b) 22 cm sq.
c) 35 cm sq.
d) 60 cm sq.
Perimeter & Area of a Triangle
PYRAMID
• A pyramid is a 3D figure built with a
base of a polygon and triangular
faces all connected together.
• A pyramid connects each vertex of the
base to a common tip or apex giving it
the typical shape.
Parts of a PYRAMID
• A pyramid is made of three main parts -
apex, face, and base.
• The faces of the pyramid except the base
are called lateral faces.
• The apex is where all the lateral faces
intersects.
• The height of the pyramid is the distance
from apex to the center of the base
• The polygon base is most often in the
shape of a square.
Types of PYRAMID
*according to its base
• Surface Area = Base Area + Lateral
Faces Area
• Volume = 1/3 x base area x height.
Surface Area & Volume of a Pyramid FORMULA
Surface Area & Volume of a Pyramid
Example: Find the SURFACE AREA • Surface Area = Base Area + Lateral Faces A
Triangle area = ½ × base × height
Square Area = s²
Triangle area = ½ × base × height
= ½ × 12 × 8
= ½ x 96
= 48
4 triangles = 48 x 4 = 192cm²
Square area= s²
= 12²
= 12 x 12
= 144cm²
• 144 + 192 = 336cm²
Surface Area & Volume of a Pyramid
Try solving:
Surface Area & Volume of a Pyramid
Try solving:
Surface Area & Volume of a Pyramid
Example: Find the VOLUME
• Volume = 1/3 x base area x height
= 1/3 x 108 x 28
= 1/3 x 3,024
= 1,008 cm³
Surface Area & Volume of a Pyramid
Try Solving!
Surface Area & Volume of a Pyramid
Try Solving!
Surface Area & Volume of a Pyramid
SUMMARY OF THE FORMULA
2D shape Perimeter Area 3D shape Surface Area Volume
1. Square 4s s² 1. Cube 6s² s³
2. Rectangle 2l+2w lw 2. Cuboid 2lw + 2lh + 2wh lwh
3. Triangle a + b + c ½ × base ×
height
3. Pyramid Base Area +
Lateral Faces
Area
1/3 x base area
x height
CIRCLE & SPHERE
Circumference
& Area
Surface Area &
Volume
3D
2D
CIRCLE
• A circle is a round-shaped figure that
has no corners or edges.
• In geometry, a circle can be defined as a
closed shape, two-dimensional shape,
curved shape.
• Can you give examples of things around
you that are circle in shape?
Parts of a CIRCLE
• The center of a circle is the center
point in a circle from which all the
distances to the points on the circle
are equal.
Parts of a CIRCLE
• A radius is a line segment with one
endpoint at the center of the circle
and the other endpoint on the circle.
Parts of a CIRCLE
• A line segment passing through the
center of a circle, and having its
endpoints on the circle, is called the
diameter of the circle.
radius =
𝑑𝑖𝑎𝑚𝑒𝑡𝑒𝑟
2
diameter = radius x 2
CIRCUMFERENCE & AREA of a CIRCLE
• The circumference of a circle is the
distance around a circle. It is the same
as the perimeter of other shapes.
• Circumference = 𝟐𝝅𝒓
;Where 𝜋 = 3.14
r = radius
Circumference & Area & of a Circle
CIRCUMFERENCE & AREA of a CIRCLE
• The area of a circle is the region
enclosed inside the circle.
• The area of a circle depends on the
length of its radius.
• 𝑨 = 𝝅𝒓𝟐
;Where 𝜋 = 3.14
r = radius
Circumference & Area & of a Circle
Circumference & Area & of a Circle
Circumference & Area & of a Circle
SPHERE
• A sphere is a three-dimensional object
that is round in shape.
• A sphere is a round, ball-shaped solid. It
has one continuous surface with no
edges or vertices.
• The surface area of a sphere is the total
area covered by the surface of a sphere in
a three-dimensional space. The formula of
surface are is given by:
SA = 𝟒𝝅𝒓𝟐
• The amount of space occupied by the
object three-dimensional object called a
sphere is known as the volume of the
sphere.
V=
𝟒
𝟑
π𝐫𝟑
SURFACE AREA & VOLUME of a CIRCLE
Surface Area & Volume of a Sphere
Find the Volume and Surface Area of the ff spheres:
Surface Area & Volume of a Sphere
• SA = 𝟒𝝅𝒓𝟐
Find the Volume and Surface Area of the ff spheres:
Surface Area & Volume of a Sphere
• V=
𝟒
𝟑
π𝐫𝟑
Find the Volume and Surface Area of the ff spheres:
Surface Area & Volume of a Sphere
Volume =
Surface Area =
Find the Volume and Surface Area of the ff spheres:
Surface Area & Volume of a Sphere
• SA = 𝟒𝝅𝒓𝟐
Find the Volume and Surface Area of the ff spheres:
Surface Area & Volume of a Sphere
• V=
𝟒
𝟑
π𝐫𝟑
Find the Volume and Surface Area of the ff spheres:
Surface Area & Volume of a Sphere
Volume =
Surface Area =
SUMMARY OF THE FORMULA
2D shape Perimeter Area 3D shape Surface Area Volume
1. Square 4s s² 1. Cube 6s² s³
2. Rectangle 2l+2w lw 2. Cuboid 2lw + 2lh + 2wh lwh
3. Triangle a + b + c ½ × base ×
height
3. Pyramid Base Area +
Lateral Faces
Area
1/3 x base area
x height
4. Circle 𝟐𝝅𝒓 𝝅𝒓𝟐 4. Sphere 𝟒𝝅𝒓𝟐
V=
𝟒
𝟑
π𝐫𝟑

More Related Content

What's hot

Casteism
CasteismCasteism
Final dissertation on Study the Status of Primary Education of Bihar among Sa...
Final dissertation on Study the Status of Primary Education of Bihar among Sa...Final dissertation on Study the Status of Primary Education of Bihar among Sa...
Final dissertation on Study the Status of Primary Education of Bihar among Sa...
RAM KISHOR SOREN
 
Social change
Social changeSocial change
Social change
Amit Saha
 
sexual harassment in famiy
sexual harassment in famiysexual harassment in famiy
sexual harassment in famiy
Beenabalakrishnan
 
Modernization and social change
Modernization and social changeModernization and social change
Modernization and social changeshhajira
 
Socialisation definition and types
Socialisation definition and typesSocialisation definition and types
Socialisation definition and types
PavithraM75
 
SOCIOLOGY OF EDUCATION - Copy.pptx
SOCIOLOGY OF EDUCATION - Copy.pptxSOCIOLOGY OF EDUCATION - Copy.pptx
SOCIOLOGY OF EDUCATION - Copy.pptx
Dr. Harpal Kaur
 
3rd lecture- Sociological perspectives and their applications on health 2020
3rd lecture- Sociological perspectives and their applications on health 20203rd lecture- Sociological perspectives and their applications on health 2020
3rd lecture- Sociological perspectives and their applications on health 2020
Dr. Eman M. Mortada
 
Gender socialization process
Gender   socialization processGender   socialization process
Gender socialization process
BeulahJayarani
 
Women i the economy of maharashtra 12 3-04 b & w
Women i the economy of maharashtra 12 3-04 b & wWomen i the economy of maharashtra 12 3-04 b & w
Women i the economy of maharashtra 12 3-04 b & w
VIBHUTI PATEL
 
Quadrilateral presentation
Quadrilateral presentationQuadrilateral presentation
Quadrilateral presentationlambor chinee
 
Women's Research & Action Group- WRAG, Mumbai Report of activities 2010-14
Women's Research & Action Group- WRAG, Mumbai Report of activities 2010-14Women's Research & Action Group- WRAG, Mumbai Report of activities 2010-14
Women's Research & Action Group- WRAG, Mumbai Report of activities 2010-14
VIBHUTI PATEL
 
Lesson plan through concept attainment moel
Lesson plan through concept attainment  moelLesson plan through concept attainment  moel
Lesson plan through concept attainment moel
DEVKARANDHANWANT
 
Basic concept of geometry
Basic concept of geometryBasic concept of geometry
Basic concept of geometry
shagufta777
 
Teaching the scientific method
Teaching the scientific methodTeaching the scientific method
Teaching the scientific method
Stefaan Vande Walle
 

What's hot (16)

Casteism
CasteismCasteism
Casteism
 
Final dissertation on Study the Status of Primary Education of Bihar among Sa...
Final dissertation on Study the Status of Primary Education of Bihar among Sa...Final dissertation on Study the Status of Primary Education of Bihar among Sa...
Final dissertation on Study the Status of Primary Education of Bihar among Sa...
 
Family crisis
Family crisisFamily crisis
Family crisis
 
Social change
Social changeSocial change
Social change
 
sexual harassment in famiy
sexual harassment in famiysexual harassment in famiy
sexual harassment in famiy
 
Modernization and social change
Modernization and social changeModernization and social change
Modernization and social change
 
Socialisation definition and types
Socialisation definition and typesSocialisation definition and types
Socialisation definition and types
 
SOCIOLOGY OF EDUCATION - Copy.pptx
SOCIOLOGY OF EDUCATION - Copy.pptxSOCIOLOGY OF EDUCATION - Copy.pptx
SOCIOLOGY OF EDUCATION - Copy.pptx
 
3rd lecture- Sociological perspectives and their applications on health 2020
3rd lecture- Sociological perspectives and their applications on health 20203rd lecture- Sociological perspectives and their applications on health 2020
3rd lecture- Sociological perspectives and their applications on health 2020
 
Gender socialization process
Gender   socialization processGender   socialization process
Gender socialization process
 
Women i the economy of maharashtra 12 3-04 b & w
Women i the economy of maharashtra 12 3-04 b & wWomen i the economy of maharashtra 12 3-04 b & w
Women i the economy of maharashtra 12 3-04 b & w
 
Quadrilateral presentation
Quadrilateral presentationQuadrilateral presentation
Quadrilateral presentation
 
Women's Research & Action Group- WRAG, Mumbai Report of activities 2010-14
Women's Research & Action Group- WRAG, Mumbai Report of activities 2010-14Women's Research & Action Group- WRAG, Mumbai Report of activities 2010-14
Women's Research & Action Group- WRAG, Mumbai Report of activities 2010-14
 
Lesson plan through concept attainment moel
Lesson plan through concept attainment  moelLesson plan through concept attainment  moel
Lesson plan through concept attainment moel
 
Basic concept of geometry
Basic concept of geometryBasic concept of geometry
Basic concept of geometry
 
Teaching the scientific method
Teaching the scientific methodTeaching the scientific method
Teaching the scientific method
 

Similar to 2D & 3D Shapes differentiation with Perimeter, Area, Surface Area, and Volume formula.

17 GEOMETRY (1).ppt
17 GEOMETRY (1).ppt17 GEOMETRY (1).ppt
17 GEOMETRY (1).ppt
LaeGadgude
 
17 GEOMETRY.ppt
17 GEOMETRY.ppt17 GEOMETRY.ppt
17 GEOMETRY.ppt
LaeGadgude
 
17 geometry
17 geometry17 geometry
17 geometry
Dreams4school
 
Areas, shapes and perimeters
Areas, shapes and perimetersAreas, shapes and perimeters
Areas, shapes and perimeters
Dan Stewart
 
Basic Mensuration
Basic MensurationBasic Mensuration
Basic Mensuration
Karan Bora
 
Kelompok 7 Geometry Space (BIM).pdf
Kelompok 7 Geometry Space (BIM).pdfKelompok 7 Geometry Space (BIM).pdf
Kelompok 7 Geometry Space (BIM).pdf
NurAnissahMardiyanti
 
Cube, cuboid and cylinder
Cube, cuboid and cylinder Cube, cuboid and cylinder
Cube, cuboid and cylinder
sriranjini ks
 
Instrumentation in Mathematics
Instrumentation in MathematicsInstrumentation in Mathematics
Instrumentation in Mathematics
Fate Jacaban
 
Mensuration
MensurationMensuration
Mensuration
ARJUN RASTOGI
 
GEOMETRY GED
GEOMETRY GEDGEOMETRY GED
GEOMETRY GED
javs12
 
Geometry: Perimeter and Area
Geometry: Perimeter and AreaGeometry: Perimeter and Area
Geometry: Perimeter and Area
cflorit
 
Power point presentation PIYUSH BHANDARI
Power point presentation PIYUSH BHANDARIPower point presentation PIYUSH BHANDARI
Power point presentation PIYUSH BHANDARI
Piyush Bhandaari
 
Geometric_Shapes_AreaWeb.ppt
Geometric_Shapes_AreaWeb.pptGeometric_Shapes_AreaWeb.ppt
Geometric_Shapes_AreaWeb.ppt
AnthonyHeart
 
Mathematics[1].pdf
Mathematics[1].pdfMathematics[1].pdf
Mathematics[1].pdf
ABHINAVBHARADWAJ20SC
 
Surface Area_Volume of Solid Figures.ppt
Surface Area_Volume of Solid Figures.pptSurface Area_Volume of Solid Figures.ppt
Surface Area_Volume of Solid Figures.ppt
LuisSalenga1
 
Surface Area_Volume of Solid Figures.ppt
Surface Area_Volume of Solid Figures.pptSurface Area_Volume of Solid Figures.ppt
Surface Area_Volume of Solid Figures.ppt
LuisSalenga1
 
Area and Perimeter.pptx
Area and Perimeter.pptxArea and Perimeter.pptx
Area and Perimeter.pptx
AbbyXiong
 
Mathematics.pptx
Mathematics.pptxMathematics.pptx
Mathematics.pptx
Anamika313337
 
C8: Surface Area and Volume
C8: Surface Area and VolumeC8: Surface Area and Volume
C8: Surface Area and Volume
rey castro
 
Math cps final
Math cps finalMath cps final
Math cps finalgengoeb
 

Similar to 2D & 3D Shapes differentiation with Perimeter, Area, Surface Area, and Volume formula. (20)

17 GEOMETRY (1).ppt
17 GEOMETRY (1).ppt17 GEOMETRY (1).ppt
17 GEOMETRY (1).ppt
 
17 GEOMETRY.ppt
17 GEOMETRY.ppt17 GEOMETRY.ppt
17 GEOMETRY.ppt
 
17 geometry
17 geometry17 geometry
17 geometry
 
Areas, shapes and perimeters
Areas, shapes and perimetersAreas, shapes and perimeters
Areas, shapes and perimeters
 
Basic Mensuration
Basic MensurationBasic Mensuration
Basic Mensuration
 
Kelompok 7 Geometry Space (BIM).pdf
Kelompok 7 Geometry Space (BIM).pdfKelompok 7 Geometry Space (BIM).pdf
Kelompok 7 Geometry Space (BIM).pdf
 
Cube, cuboid and cylinder
Cube, cuboid and cylinder Cube, cuboid and cylinder
Cube, cuboid and cylinder
 
Instrumentation in Mathematics
Instrumentation in MathematicsInstrumentation in Mathematics
Instrumentation in Mathematics
 
Mensuration
MensurationMensuration
Mensuration
 
GEOMETRY GED
GEOMETRY GEDGEOMETRY GED
GEOMETRY GED
 
Geometry: Perimeter and Area
Geometry: Perimeter and AreaGeometry: Perimeter and Area
Geometry: Perimeter and Area
 
Power point presentation PIYUSH BHANDARI
Power point presentation PIYUSH BHANDARIPower point presentation PIYUSH BHANDARI
Power point presentation PIYUSH BHANDARI
 
Geometric_Shapes_AreaWeb.ppt
Geometric_Shapes_AreaWeb.pptGeometric_Shapes_AreaWeb.ppt
Geometric_Shapes_AreaWeb.ppt
 
Mathematics[1].pdf
Mathematics[1].pdfMathematics[1].pdf
Mathematics[1].pdf
 
Surface Area_Volume of Solid Figures.ppt
Surface Area_Volume of Solid Figures.pptSurface Area_Volume of Solid Figures.ppt
Surface Area_Volume of Solid Figures.ppt
 
Surface Area_Volume of Solid Figures.ppt
Surface Area_Volume of Solid Figures.pptSurface Area_Volume of Solid Figures.ppt
Surface Area_Volume of Solid Figures.ppt
 
Area and Perimeter.pptx
Area and Perimeter.pptxArea and Perimeter.pptx
Area and Perimeter.pptx
 
Mathematics.pptx
Mathematics.pptxMathematics.pptx
Mathematics.pptx
 
C8: Surface Area and Volume
C8: Surface Area and VolumeC8: Surface Area and Volume
C8: Surface Area and Volume
 
Math cps final
Math cps finalMath cps final
Math cps final
 

Recently uploaded

Home assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdfHome assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdf
Tamralipta Mahavidyalaya
 
Unit 8 - Information and Communication Technology (Paper I).pdf
Unit 8 - Information and Communication Technology (Paper I).pdfUnit 8 - Information and Communication Technology (Paper I).pdf
Unit 8 - Information and Communication Technology (Paper I).pdf
Thiyagu K
 
The French Revolution Class 9 Study Material pdf free download
The French Revolution Class 9 Study Material pdf free downloadThe French Revolution Class 9 Study Material pdf free download
The French Revolution Class 9 Study Material pdf free download
Vivekanand Anglo Vedic Academy
 
Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
Jisc
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
EverAndrsGuerraGuerr
 
Polish students' mobility in the Czech Republic
Polish students' mobility in the Czech RepublicPolish students' mobility in the Czech Republic
Polish students' mobility in the Czech Republic
Anna Sz.
 
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCECLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
BhavyaRajput3
 
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptx
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxStudents, digital devices and success - Andreas Schleicher - 27 May 2024..pptx
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptx
EduSkills OECD
 
Sectors of the Indian Economy - Class 10 Study Notes pdf
Sectors of the Indian Economy - Class 10 Study Notes pdfSectors of the Indian Economy - Class 10 Study Notes pdf
Sectors of the Indian Economy - Class 10 Study Notes pdf
Vivekanand Anglo Vedic Academy
 
PART A. Introduction to Costumer Service
PART A. Introduction to Costumer ServicePART A. Introduction to Costumer Service
PART A. Introduction to Costumer Service
PedroFerreira53928
 
How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17
Celine George
 
Additional Benefits for Employee Website.pdf
Additional Benefits for Employee Website.pdfAdditional Benefits for Employee Website.pdf
Additional Benefits for Employee Website.pdf
joachimlavalley1
 
Instructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptxInstructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptx
Jheel Barad
 
The Art Pastor's Guide to Sabbath | Steve Thomason
The Art Pastor's Guide to Sabbath | Steve ThomasonThe Art Pastor's Guide to Sabbath | Steve Thomason
The Art Pastor's Guide to Sabbath | Steve Thomason
Steve Thomason
 
Language Across the Curriculm LAC B.Ed.
Language Across the  Curriculm LAC B.Ed.Language Across the  Curriculm LAC B.Ed.
Language Across the Curriculm LAC B.Ed.
Atul Kumar Singh
 
Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345
beazzy04
 
Template Jadual Bertugas Kelas (Boleh Edit)
Template Jadual Bertugas Kelas (Boleh Edit)Template Jadual Bertugas Kelas (Boleh Edit)
Template Jadual Bertugas Kelas (Boleh Edit)
rosedainty
 
GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...
GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...
GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...
Nguyen Thanh Tu Collection
 
Model Attribute Check Company Auto Property
Model Attribute  Check Company Auto PropertyModel Attribute  Check Company Auto Property
Model Attribute Check Company Auto Property
Celine George
 
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup   New Member Orientation and Q&A (May 2024).pdfWelcome to TechSoup   New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
TechSoup
 

Recently uploaded (20)

Home assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdfHome assignment II on Spectroscopy 2024 Answers.pdf
Home assignment II on Spectroscopy 2024 Answers.pdf
 
Unit 8 - Information and Communication Technology (Paper I).pdf
Unit 8 - Information and Communication Technology (Paper I).pdfUnit 8 - Information and Communication Technology (Paper I).pdf
Unit 8 - Information and Communication Technology (Paper I).pdf
 
The French Revolution Class 9 Study Material pdf free download
The French Revolution Class 9 Study Material pdf free downloadThe French Revolution Class 9 Study Material pdf free download
The French Revolution Class 9 Study Material pdf free download
 
Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
 
Polish students' mobility in the Czech Republic
Polish students' mobility in the Czech RepublicPolish students' mobility in the Czech Republic
Polish students' mobility in the Czech Republic
 
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCECLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
 
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptx
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxStudents, digital devices and success - Andreas Schleicher - 27 May 2024..pptx
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptx
 
Sectors of the Indian Economy - Class 10 Study Notes pdf
Sectors of the Indian Economy - Class 10 Study Notes pdfSectors of the Indian Economy - Class 10 Study Notes pdf
Sectors of the Indian Economy - Class 10 Study Notes pdf
 
PART A. Introduction to Costumer Service
PART A. Introduction to Costumer ServicePART A. Introduction to Costumer Service
PART A. Introduction to Costumer Service
 
How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17
 
Additional Benefits for Employee Website.pdf
Additional Benefits for Employee Website.pdfAdditional Benefits for Employee Website.pdf
Additional Benefits for Employee Website.pdf
 
Instructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptxInstructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptx
 
The Art Pastor's Guide to Sabbath | Steve Thomason
The Art Pastor's Guide to Sabbath | Steve ThomasonThe Art Pastor's Guide to Sabbath | Steve Thomason
The Art Pastor's Guide to Sabbath | Steve Thomason
 
Language Across the Curriculm LAC B.Ed.
Language Across the  Curriculm LAC B.Ed.Language Across the  Curriculm LAC B.Ed.
Language Across the Curriculm LAC B.Ed.
 
Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345Sha'Carri Richardson Presentation 202345
Sha'Carri Richardson Presentation 202345
 
Template Jadual Bertugas Kelas (Boleh Edit)
Template Jadual Bertugas Kelas (Boleh Edit)Template Jadual Bertugas Kelas (Boleh Edit)
Template Jadual Bertugas Kelas (Boleh Edit)
 
GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...
GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...
GIÁO ÁN DẠY THÊM (KẾ HOẠCH BÀI BUỔI 2) - TIẾNG ANH 8 GLOBAL SUCCESS (2 CỘT) N...
 
Model Attribute Check Company Auto Property
Model Attribute  Check Company Auto PropertyModel Attribute  Check Company Auto Property
Model Attribute Check Company Auto Property
 
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup   New Member Orientation and Q&A (May 2024).pdfWelcome to TechSoup   New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
 

2D & 3D Shapes differentiation with Perimeter, Area, Surface Area, and Volume formula.

  • 1. 2D & 3D Shapes Perimeter, Area, Surface Area, and Volume
  • 2. 2D vs 3D • 2-Dimensional • It has length and width but no height • is a flat object • 3-Dimensional • It has length, width and height
  • 3. 2D vs. 3D in animation Laid out in a flat surface Has depth
  • 4. Perimeter, Area, Surface Area, Volume 3D 2D
  • 5. SQUARE & CUBE Perimeter, Area, Surface Area, Volume 3D 2D
  • 6. Perimeter and Area of a Square (2D) boundary space occupied Perimeter = 4s 2 Area = s
  • 7. • If the length of the side of a square is 11cm. Find its area and perimeter. Perimeter and Area of a Square Exercise problem 1: Perimeter = 4s 11 = 4 (11) or 11+11+11+11 =44 cm 2 Area = s = 11 or 11x11 =121 cm 2 2
  • 8. • My room is a perfect square. One side of my room measures 15 ft. Try finding the perimeter and area of my room. Perimeter and Area of a Square Exercise problem 2: Perimeter = 4s 15 2 Area = s
  • 9. Surface Area and Volume of a CUBE (3D) how much it takes to wrap space occupied What is the formula for Surface Area and Volume of a CUBE ?
  • 10. S.A. and Volume Formula Surface Area and Volume of a CUBE (3D) Surface area = 6s² s s s Volume = s³
  • 11. • Find the Surface Area and Volume Exercise problem 3: 10 in. Surface Area and Volume of a CUBE (3D) Surface area = 6s² Volume = s³ = 6(10)² = 6(100) = 600 in² = (10)³ = (10x10x10) = 1000 in³
  • 12. • Find the Surface Area and Volume Exercise problem 4: 8 in. Surface Area and Volume of a CUBE (3D) Surface area = 6s² Volume = s³
  • 13. Solve for Perimeter, Area, Surface Area, and Volume Perimeter = 4s Area = s² Surface area = 6s² Volume = s³
  • 14. SUMMARY OF THE FORMULA 2D shape Perimeter Area 3D shape Surface Area Volume 1. Square 4s s² 1. Cube 6s² s³
  • 15. RECTANGLE & CUBOID Perimeter, Area, Surface Area, Volume 3D 2D *aka Rectangular Prism width length
  • 17. Perimeter and Area of a Rectangle Perimeter and Area of a Rectangle Perimeter = 2l+2w width length Area = lw
  • 18. • My flower bed is 5 meters long and 3.5 meters wide. I want to put a fence over it. How long should my fence be? Exercise problem 5: 3.5 Perimeter and Area of a Rectangle 5 Perimeter = 2l+2w
  • 19. • What is the area of my flower bed? Exercise problem 5: 3.5 Perimeter and Area of a Rectangle 5 Area = lw
  • 20. Surface Area and Volume of a CUBOID (3D) *aka Rectangular Prism
  • 21. Surface Area and Volume of a CUBOID length height Surface Area and Volume of a CUBOID (3D)
  • 22. Surface Area and Volume of a CUBOID FORMULA length height Surface Area and Volume of a CUBOID Surface Area = 2lw + 2lh + 2wh Or = 2 (lw + lh + wh) Volume = lwh
  • 23. Exercise problem 6: Surface Area & Volume of a Cuboid Surface Area = 2 (lw + lh + wh) Volume = lwh
  • 24. Exercise problem 7: Surface Area & Volume of a Cuboid Surface Area = 2 (lw + lh + wh) Volume = lwh
  • 25. REVIEW: 1. Convert mixed number to fractions 2. Multiply 3. Simplify 4. Convert back
  • 26. SUMMARY OF THE FORMULA 2D shape Perimeter Area 3D shape Surface Area Volume 1. Square 4s s² 1. Cube 6s² s³ 2. Rectangle 2l+2w lw 2. Cuboid 2lw + 2lh + 2wh lwh
  • 27. TRIANGLE & REGULAR PYRAMID Perimeter, Area, Surface Area, Volume 3D 2D
  • 28. TRIANGLE • A triangle is a three-sided closed figure • 3 sides and 3 vertices. The triangle can be classified as equilateral, isosceles, or scalene on the basis of the length of it’s sides.
  • 29. Types of Triangle • Equilateral or Equiangular Triangle: all sides and angles of a triangle are equal • Isosceles Right Triangle: 2 sides are equal and one angle is 90° • Obtuse Isosceles Triangle: 2 sides are equal and one angle is an obtuse angle • Acute Isosceles Triangle: all 3 angles are acute angles and 2 sides measure the same • Right Scalene Triangle: any one of the angles is a right angle and all the 3 sides are unequal • Obtuse Scalene Triangle: one obtuse angle with sides of different measures • Acute Scalene Triangle: 3 unequal sides and 3 acute angles Mixture
  • 30. Perimeter and Area of a Triangle FORMULA a b c Perimeter = a+b+c Area = ½ × base × height = ½ bh height Perimeter & Area of a Triangle
  • 31. Practice Problems 1. What is the perimeter of a triangle with sides lengths 3 cm, 6 cm, and 4 cm? a) 32 cm b) 13 cm c) 12 cm d) 16 cm Perimeter & Area of a Triangle
  • 32. Practice Problems 2. The side of an equilateral triangle is 3 cm in length. Find the perimeter of the triangle. a) 9 cm b) 13 cm c) 12 cm d) 16 cm Perimeter & Area of a Triangle
  • 33. Practice Problems 3. The perimeter of a triangle is 15 cm. The lengths of the two sides are 5 cm and 4 cm. Find the length of the third side. a) 6 cm b) 5 cm c) 3 cm d) 4 cm Perimeter & Area of a Triangle
  • 34. Practice Problems 4. The base of a triangle is 8 cm. Its height is 6 cm. What is the area? a) 24 cm sq. b) 44 cm sq. c) 12 cm sq. d) 16 cm sq. Perimeter & Area of a Triangle
  • 35. Practice Problems 5. What is the area of this triangle? (cm) a) 45 cm sq. b) 22 cm sq. c) 35 cm sq. d) 60 cm sq. Perimeter & Area of a Triangle
  • 36. PYRAMID • A pyramid is a 3D figure built with a base of a polygon and triangular faces all connected together. • A pyramid connects each vertex of the base to a common tip or apex giving it the typical shape.
  • 37. Parts of a PYRAMID • A pyramid is made of three main parts - apex, face, and base. • The faces of the pyramid except the base are called lateral faces. • The apex is where all the lateral faces intersects. • The height of the pyramid is the distance from apex to the center of the base • The polygon base is most often in the shape of a square.
  • 39. • Surface Area = Base Area + Lateral Faces Area • Volume = 1/3 x base area x height. Surface Area & Volume of a Pyramid FORMULA Surface Area & Volume of a Pyramid
  • 40. Example: Find the SURFACE AREA • Surface Area = Base Area + Lateral Faces A Triangle area = ½ × base × height Square Area = s² Triangle area = ½ × base × height = ½ × 12 × 8 = ½ x 96 = 48 4 triangles = 48 x 4 = 192cm² Square area= s² = 12² = 12 x 12 = 144cm² • 144 + 192 = 336cm² Surface Area & Volume of a Pyramid
  • 41. Try solving: Surface Area & Volume of a Pyramid
  • 42. Try solving: Surface Area & Volume of a Pyramid
  • 43. Example: Find the VOLUME • Volume = 1/3 x base area x height = 1/3 x 108 x 28 = 1/3 x 3,024 = 1,008 cm³ Surface Area & Volume of a Pyramid
  • 44. Try Solving! Surface Area & Volume of a Pyramid
  • 45. Try Solving! Surface Area & Volume of a Pyramid
  • 46. SUMMARY OF THE FORMULA 2D shape Perimeter Area 3D shape Surface Area Volume 1. Square 4s s² 1. Cube 6s² s³ 2. Rectangle 2l+2w lw 2. Cuboid 2lw + 2lh + 2wh lwh 3. Triangle a + b + c ½ × base × height 3. Pyramid Base Area + Lateral Faces Area 1/3 x base area x height
  • 47. CIRCLE & SPHERE Circumference & Area Surface Area & Volume 3D 2D
  • 48. CIRCLE • A circle is a round-shaped figure that has no corners or edges. • In geometry, a circle can be defined as a closed shape, two-dimensional shape, curved shape. • Can you give examples of things around you that are circle in shape?
  • 49. Parts of a CIRCLE • The center of a circle is the center point in a circle from which all the distances to the points on the circle are equal.
  • 50. Parts of a CIRCLE • A radius is a line segment with one endpoint at the center of the circle and the other endpoint on the circle.
  • 51. Parts of a CIRCLE • A line segment passing through the center of a circle, and having its endpoints on the circle, is called the diameter of the circle.
  • 53. CIRCUMFERENCE & AREA of a CIRCLE • The circumference of a circle is the distance around a circle. It is the same as the perimeter of other shapes. • Circumference = 𝟐𝝅𝒓 ;Where 𝜋 = 3.14 r = radius Circumference & Area & of a Circle
  • 54. CIRCUMFERENCE & AREA of a CIRCLE • The area of a circle is the region enclosed inside the circle. • The area of a circle depends on the length of its radius. • 𝑨 = 𝝅𝒓𝟐 ;Where 𝜋 = 3.14 r = radius Circumference & Area & of a Circle
  • 55. Circumference & Area & of a Circle
  • 56. Circumference & Area & of a Circle
  • 57. SPHERE • A sphere is a three-dimensional object that is round in shape. • A sphere is a round, ball-shaped solid. It has one continuous surface with no edges or vertices.
  • 58. • The surface area of a sphere is the total area covered by the surface of a sphere in a three-dimensional space. The formula of surface are is given by: SA = 𝟒𝝅𝒓𝟐 • The amount of space occupied by the object three-dimensional object called a sphere is known as the volume of the sphere. V= 𝟒 𝟑 π𝐫𝟑 SURFACE AREA & VOLUME of a CIRCLE Surface Area & Volume of a Sphere
  • 59. Find the Volume and Surface Area of the ff spheres: Surface Area & Volume of a Sphere • SA = 𝟒𝝅𝒓𝟐
  • 60. Find the Volume and Surface Area of the ff spheres: Surface Area & Volume of a Sphere • V= 𝟒 𝟑 π𝐫𝟑
  • 61. Find the Volume and Surface Area of the ff spheres: Surface Area & Volume of a Sphere Volume = Surface Area =
  • 62. Find the Volume and Surface Area of the ff spheres: Surface Area & Volume of a Sphere • SA = 𝟒𝝅𝒓𝟐
  • 63. Find the Volume and Surface Area of the ff spheres: Surface Area & Volume of a Sphere • V= 𝟒 𝟑 π𝐫𝟑
  • 64. Find the Volume and Surface Area of the ff spheres: Surface Area & Volume of a Sphere Volume = Surface Area =
  • 65. SUMMARY OF THE FORMULA 2D shape Perimeter Area 3D shape Surface Area Volume 1. Square 4s s² 1. Cube 6s² s³ 2. Rectangle 2l+2w lw 2. Cuboid 2lw + 2lh + 2wh lwh 3. Triangle a + b + c ½ × base × height 3. Pyramid Base Area + Lateral Faces Area 1/3 x base area x height 4. Circle 𝟐𝝅𝒓 𝝅𝒓𝟐 4. Sphere 𝟒𝝅𝒓𝟐 V= 𝟒 𝟑 π𝐫𝟑

Editor's Notes

  1. In Geometry, a shape is defined as the figure closed by the boundary. The boundary is created by the combination of lines, points and curves. Basically, there are two different types of geometric shapes such as 2D and 3D The two-dimensional shapes (2D shapes) are also known as flat shapes, are the shapes having two dimensions only. It has length and WIDTH . It does not have thickness. Two-dimensional shapes are the shapes that can be drawn on the piece of paper. Some of the examples of 2D shapes are square, rectangle, circle, triangle and so on. The three-dimensional shapes (3D shapes), known as solid shapes, are the shapes that have three dimensions such as length, WIDTH and HEIGHT
  2. A triangle is a three-sided closed figure. It is one of the basic shapes in geometry which has 3 sides and 3 vertices. The triangle can be classified as equilateral, isoscles or scalene on the basis of the length of it’s sides.
  3. Equilateral or Equiangular Triangle: When all sides and angles of a triangle are equal, it is called an equilateral or equiangular triangle. Isosceles Right Triangle: A triangle in which 2 sides are equal and one angle is 90° is called an isosceles right triangle. So, in an isosceles right triangle, two sides and two acute angles are congruent. Obtuse Isosceles Triangle: A triangle in which 2 sides are equal and one angle is an obtuse angle is called an obtuse isosceles triangle. Acute Isosceles Triangle: A triangle in which all 3 angles are acute angles and 2 sides measure the same is called an acute isosceles triangle. Right Scalene Triangle: A triangle in which any one of the angles is a right angle and all the 3 sides are unequal, is called a right scalene triangle. Obtuse Scalene Triangle: A triangle with an obtuse angle with sides of different measures is called an obtuse scalene triangle. Acute Scalene Triangle: A triangle that has 3 unequal sides and 3 acute angles is called an acute scalene triangle.
  4. A triangle is a three-sided closed figure. It is one of the basic shapes in geometry which has 3 sides and 3 vertices. The triangle can be classified as equilateral, isoscles or scalene on the basis of the length of it’s sides.
  5. Last: Base is the bottom of the pyramid and it is most often in the shape of a square
  6. A pyramid is named according to the shape of its base