SlideShare a Scribd company logo
Drill GT Geom 5/7/14
Find the unknown lengths.
1. the diagonal of a square with side length
5 cm
2. the base of a rectangle with diagonal
15 m and height 13 m
3. the height of a trapezoid with area 18 ft2
and bases 3 ft and 9 ft
OBJECTIVE
To find lateral area
and surface area
of a polyhedron,
the prism
Key Terms
Polyhedron
Altitude
Lateral Area
Net
Three-dimensional figures, or solids, can be made
up of flat or curved surfaces. Each flat surface is
called a face. An edge is the segment that is the
intersection of two faces. A vertex is the point that is
the intersection of three or more faces.
A cube is a prism with six square faces. Other prisms
and pyramids are named for the shape of their bases.
Postulate
Write the formula for the
volume of a right
rectangular prism.
V = lwh
We will assume prisms
are RIGHT from now on
Vocabulary
Polyhedron- A
geometric solid with
polygons as faces.
DEFINITION
Prism-A polyhedron
with two polygonal
bases that are parallel
and congruent.
Right Prism - lateral edges
are perpendicular to the
planes of the bases.
Vocabulary
Altitude of a Prism - any
segment perpendicular
to the planes
containing the bases
with endpoints in these
planes. ( same as
HEIGHT)
Vocabulary
Net - a figure that can be
folded to enclose a
particular solid figure
Classwork
Draw a net for a right
triangular prism.
Draw a net for a right
pentagonal prism.
Classwork
Classwork
Example 2A: Identifying a Three-
Dimensional Figure From a Net
Describe the three-dimensional figure that can be
made from the given net.
The net has six
congruent square
faces. So the net
forms a cube.
Example 2B: Identifying a Three-
Dimensional Figure From a Net
Describe the three-dimensional figure that can be
made from the given net.
The net has one circular
face and one
semicircular face. These
are the base and sloping
face of a cone. So the net
forms a cone.
Check It Out! Example 2a
Describe the three-dimensional figure that can be
made from the given net.
The net has four
congruent triangular
faces. So the net
forms a triangular
pyramid.
Check It Out! Example 2b
Describe the three-dimensional figure that can be
made from the given net.
The net has two circular
faces and one
rectangular face. These
are the bases and curved
surface of a cylinder. So
the net forms a cylinder.
Lateral Area of a Prism -
sum of the areas of the
lateral faces.
Surface Area of a Prism -
sum of the lateral area
and the areas of the two
bases
Classwork
LATERAL AREA
SURFACE AREA
Prisms and cylinders have 2 congruent parallel
bases.
A lateral face is not a base. The edges of the base are
called base edges. A lateral edge is not an edge of a
base. The lateral faces of a right prism are all
rectangles. An oblique prism has at least one
nonrectangular lateral face.
Lateral Area of a Right Prism
Is their a short cut for
finding the lateral
area ?
Lateral Area of a Right Prism
The lateral area LA of a
right prism with height
h and perimeter of
base p is:
LA = Hp or L = Hp
Surface Area of a Right Prism
The surface area SA of a
right prism with lateral LA
and the area of a base B
is:
SA = LA + 2B
or S =L + 2B
Volume
Volume equals Area of the
Base times the Height of the
object.
V = BH
Area of the Base x Height of the object
Find the LA



Find the SA



Lateral Area of a Right Prism
Find the lateral area LA
of a right prism with
height 10cm, if the
base is a regular
hexagon with side
3cm.
Find the surface area
SA of a right prism
with height 10cm, if the
base is a regular
hexagon with side
3cm.(round answer to
nearest hundredth)
Example 1: Drawing Orthographic Views of
an Object
Draw all six orthographic views of the given object.
Assume there are no hidden cubes.
Example 1 Continued
Draw all six orthographic views of the given object.
Assume there are no hidden cubes.
Bottom
Example 1 Continued
Draw all six orthographic views of the given object.
Assume there are no hidden cubes.
Example 1 Continued
Draw all six orthographic views of the given object.
Assume there are no hidden cubes.
Check It Out! Example 1
Draw all six orthographic views of the given object.
Assume there are no hidden cubes.
Check It Out! Example 1 Continued
Classwork/Homework
Practice and Apply 7.2
P685 #’s 13-26 and 28-31
Three-dimensional figures, or solids, can be made
up of flat or curved surfaces. Each flat surface is
called a face. An edge is the segment that is the
intersection of two faces. A vertex is the point that is
the intersection of three or more faces.
A cube is a prism with six square faces. Other prisms
and pyramids are named for the shape of their bases.
Prisms and cylinders have 2 congruent parallel
bases.
A lateral face is not a base. The edges of the base are
called base edges. A lateral edge is not an edge of a
base. The lateral faces of a right prism are all
rectangles. An oblique prism has at least one
nonrectangular lateral face.

More Related Content

What's hot

8 3similar Triangles
8 3similar Triangles8 3similar Triangles
8 3similar Trianglestaco40
 
Introduction to Postulates and Theorems
Introduction to Postulates and TheoremsIntroduction to Postulates and Theorems
Introduction to Postulates and Theorems
needmath
 
Ac1.5aPostulates
Ac1.5aPostulatesAc1.5aPostulates
Slm understanding quadrilaterals MATHS topic....
Slm understanding quadrilaterals MATHS topic....Slm understanding quadrilaterals MATHS topic....
Slm understanding quadrilaterals MATHS topic....
angelbindusingh
 
Geometry Project John Hoang Block 1
Geometry Project John Hoang Block 1Geometry Project John Hoang Block 1
Geometry Project John Hoang Block 1john hoang
 
Welcome To Geometry
Welcome To GeometryWelcome To Geometry
Welcome To GeometryTony Keefer
 
Unit 1 day 1 points, lines, planes
Unit 1 day 1   points, lines, planesUnit 1 day 1   points, lines, planes
Unit 1 day 1 points, lines, planes
KSmithRm30
 
3.8.4 Triangle Similarity
3.8.4 Triangle Similarity3.8.4 Triangle Similarity
3.8.4 Triangle Similarity
smiller5
 
Geometry plane figures
Geometry plane figuresGeometry plane figures
Geometry plane figures
nbratteli
 
A Look Into 4th Grade Geometry
A Look Into 4th Grade GeometryA Look Into 4th Grade Geometry
A Look Into 4th Grade Geometrybever88
 
Plane figures
Plane figuresPlane figures
Plane figures
yase_matheresa
 
Triangle
TriangleTriangle
Geometric Bonanza
Geometric BonanzaGeometric Bonanza
Geometric Bonanza
Judson Jude
 
Geometry In The Real World
Geometry In The Real WorldGeometry In The Real World
Geometry In The Real WorldKarcrav
 
Similar triangles
Similar trianglesSimilar triangles
Similar triangles
ryanmatt1
 

What's hot (18)

8 3similar Triangles
8 3similar Triangles8 3similar Triangles
8 3similar Triangles
 
Introduction to Postulates and Theorems
Introduction to Postulates and TheoremsIntroduction to Postulates and Theorems
Introduction to Postulates and Theorems
 
Ac1.5aPostulates
Ac1.5aPostulatesAc1.5aPostulates
Ac1.5aPostulates
 
Slm understanding quadrilaterals MATHS topic....
Slm understanding quadrilaterals MATHS topic....Slm understanding quadrilaterals MATHS topic....
Slm understanding quadrilaterals MATHS topic....
 
Geometry Project John Hoang Block 1
Geometry Project John Hoang Block 1Geometry Project John Hoang Block 1
Geometry Project John Hoang Block 1
 
Chapter 1.1
Chapter 1.1Chapter 1.1
Chapter 1.1
 
Welcome To Geometry
Welcome To GeometryWelcome To Geometry
Welcome To Geometry
 
Triangle and quadrilateral
Triangle and quadrilateralTriangle and quadrilateral
Triangle and quadrilateral
 
Unit 1 day 1 points, lines, planes
Unit 1 day 1   points, lines, planesUnit 1 day 1   points, lines, planes
Unit 1 day 1 points, lines, planes
 
3.8.4 Triangle Similarity
3.8.4 Triangle Similarity3.8.4 Triangle Similarity
3.8.4 Triangle Similarity
 
Lesson 1
Lesson 1Lesson 1
Lesson 1
 
Geometry plane figures
Geometry plane figuresGeometry plane figures
Geometry plane figures
 
A Look Into 4th Grade Geometry
A Look Into 4th Grade GeometryA Look Into 4th Grade Geometry
A Look Into 4th Grade Geometry
 
Plane figures
Plane figuresPlane figures
Plane figures
 
Triangle
TriangleTriangle
Triangle
 
Geometric Bonanza
Geometric BonanzaGeometric Bonanza
Geometric Bonanza
 
Geometry In The Real World
Geometry In The Real WorldGeometry In The Real World
Geometry In The Real World
 
Similar triangles
Similar trianglesSimilar triangles
Similar triangles
 

Viewers also liked

1003 segment and angle addition postulate and more
1003 segment and angle addition postulate and more1003 segment and angle addition postulate and more
1003 segment and angle addition postulate and morejbianco9910
 
Welcome1stdaypwpt2014 b
Welcome1stdaypwpt2014 bWelcome1stdaypwpt2014 b
Welcome1stdaypwpt2014 bjbianco9910
 
2 1 and 2-2 revieew and quiz
2 1 and 2-2 revieew and quiz2 1 and 2-2 revieew and quiz
2 1 and 2-2 revieew and quizjbianco9910
 
Inductivereasoning and deductive 2013
Inductivereasoning and deductive 2013Inductivereasoning and deductive 2013
Inductivereasoning and deductive 2013jbianco9910
 
Parralelogram day 1
Parralelogram day 1Parralelogram day 1
Parralelogram day 1jbianco9910
 
Similarity using indirect measurements updated 3 19-14
Similarity using indirect measurements updated 3 19-14Similarity using indirect measurements updated 3 19-14
Similarity using indirect measurements updated 3 19-14jbianco9910
 
Test review day 1
Test review day 1Test review day 1
Test review day 1jbianco9910
 
Intercepts and word problems wexamples
Intercepts and word problems wexamplesIntercepts and word problems wexamples
Intercepts and word problems wexamplesjbianco9910
 
Parralleograms day 2 with quizzie
Parralleograms day 2 with quizzieParralleograms day 2 with quizzie
Parralleograms day 2 with quizziejbianco9910
 
Are and perimeter review
Are and perimeter reviewAre and perimeter review
Are and perimeter reviewjbianco9910
 
Circle review day
Circle review dayCircle review day
Circle review dayjbianco9910
 
Chapter review day 1 with change of dimension
Chapter review day 1 with change of dimensionChapter review day 1 with change of dimension
Chapter review day 1 with change of dimensionjbianco9910
 
Test review day 1
Test review day 1Test review day 1
Test review day 1jbianco9910
 
3005 proving lines parrallel day 2y
3005 proving lines parrallel day 2y3005 proving lines parrallel day 2y
3005 proving lines parrallel day 2yjbianco9910
 
Day 2 review with sat
Day 2 review with satDay 2 review with sat
Day 2 review with satjbianco9910
 
Transformation work day drill
Transformation work day drillTransformation work day drill
Transformation work day drilljbianco9910
 

Viewers also liked (17)

1003 segment and angle addition postulate and more
1003 segment and angle addition postulate and more1003 segment and angle addition postulate and more
1003 segment and angle addition postulate and more
 
Welcome1stdaypwpt2014 b
Welcome1stdaypwpt2014 bWelcome1stdaypwpt2014 b
Welcome1stdaypwpt2014 b
 
2 1 and 2-2 revieew and quiz
2 1 and 2-2 revieew and quiz2 1 and 2-2 revieew and quiz
2 1 and 2-2 revieew and quiz
 
Inductivereasoning and deductive 2013
Inductivereasoning and deductive 2013Inductivereasoning and deductive 2013
Inductivereasoning and deductive 2013
 
Parralelogram day 1
Parralelogram day 1Parralelogram day 1
Parralelogram day 1
 
Similarity using indirect measurements updated 3 19-14
Similarity using indirect measurements updated 3 19-14Similarity using indirect measurements updated 3 19-14
Similarity using indirect measurements updated 3 19-14
 
Test review day 1
Test review day 1Test review day 1
Test review day 1
 
Intercepts and word problems wexamples
Intercepts and word problems wexamplesIntercepts and word problems wexamples
Intercepts and word problems wexamples
 
Parralleograms day 2 with quizzie
Parralleograms day 2 with quizzieParralleograms day 2 with quizzie
Parralleograms day 2 with quizzie
 
Are and perimeter review
Are and perimeter reviewAre and perimeter review
Are and perimeter review
 
Circle review day
Circle review dayCircle review day
Circle review day
 
Chapter review day 1 with change of dimension
Chapter review day 1 with change of dimensionChapter review day 1 with change of dimension
Chapter review day 1 with change of dimension
 
Slope
SlopeSlope
Slope
 
Test review day 1
Test review day 1Test review day 1
Test review day 1
 
3005 proving lines parrallel day 2y
3005 proving lines parrallel day 2y3005 proving lines parrallel day 2y
3005 proving lines parrallel day 2y
 
Day 2 review with sat
Day 2 review with satDay 2 review with sat
Day 2 review with sat
 
Transformation work day drill
Transformation work day drillTransformation work day drill
Transformation work day drill
 

Similar to Chapter 10 day 1 s.a. of prisms

12.1 solid geometry
12.1 solid geometry12.1 solid geometry
12.1 solid geometry
smiller5
 
12.2 surface area of prisms and cylinders
12.2 surface area of prisms and cylinders12.2 surface area of prisms and cylinders
12.2 surface area of prisms and cylindersJessica Garcia
 
Obj. 49 Solid Geometry
Obj. 49 Solid GeometryObj. 49 Solid Geometry
Obj. 49 Solid Geometry
smiller5
 
12.1 Solid Geometry
12.1 Solid Geometry12.1 Solid Geometry
12.1 Solid Geometry
smiller5
 
Gre solid 02 math geo
Gre solid 02 math geoGre solid 02 math geo
Gre solid 02 math geo
Antu Biswsa
 
Geom12point2and3 97
Geom12point2and3 97Geom12point2and3 97
Geom12point2and3 97herbison
 
Geometry unit 11.1
Geometry unit 11.1Geometry unit 11.1
Geometry unit 11.1
Mark Ryder
 
Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx
Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptxGrade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx
Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx
MARYANNSISON2
 
Realiabilty and item analysis in assessment
Realiabilty and item analysis in assessmentRealiabilty and item analysis in assessment
Realiabilty and item analysis in assessment
Vincent Montebon
 
Geometry unit 11.2
Geometry unit 11.2Geometry unit 11.2
Geometry unit 11.2
Mark Ryder
 
300017-DumalnegNHS-Raval, Cyrah Mae.ppt
300017-DumalnegNHS-Raval, Cyrah Mae.ppt300017-DumalnegNHS-Raval, Cyrah Mae.ppt
300017-DumalnegNHS-Raval, Cyrah Mae.ppt
CyrahMaeRaval2
 
Obj. 42 Solid Geometry
Obj. 42 Solid GeometryObj. 42 Solid Geometry
Obj. 42 Solid Geometry
smiller5
 
Geometry unit 11.3
Geometry unit 11.3Geometry unit 11.3
Geometry unit 11.3
Mark Ryder
 
Power point presentation PIYUSH BHANDARI
Power point presentation PIYUSH BHANDARIPower point presentation PIYUSH BHANDARI
Power point presentation PIYUSH BHANDARI
Piyush Bhandaari
 
Digitaltext
DigitaltextDigitaltext
Digitaltext
archa1989
 
MENSURATION
MENSURATIONMENSURATION
MENSURATION
Zoha Hussain
 
Geometric_Shapes_AreaWeb.ppt
Geometric_Shapes_AreaWeb.pptGeometric_Shapes_AreaWeb.ppt
Geometric_Shapes_AreaWeb.ppt
AnthonyHeart
 

Similar to Chapter 10 day 1 s.a. of prisms (20)

12.1 solid geometry
12.1 solid geometry12.1 solid geometry
12.1 solid geometry
 
12.2 surface area of prisms and cylinders
12.2 surface area of prisms and cylinders12.2 surface area of prisms and cylinders
12.2 surface area of prisms and cylinders
 
Obj. 49 Solid Geometry
Obj. 49 Solid GeometryObj. 49 Solid Geometry
Obj. 49 Solid Geometry
 
12.1 Solid Geometry
12.1 Solid Geometry12.1 Solid Geometry
12.1 Solid Geometry
 
Gre solid 02 math geo
Gre solid 02 math geoGre solid 02 math geo
Gre solid 02 math geo
 
Geom12point2and3 97
Geom12point2and3 97Geom12point2and3 97
Geom12point2and3 97
 
Geometry unit 11.1
Geometry unit 11.1Geometry unit 11.1
Geometry unit 11.1
 
Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx
Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptxGrade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx
Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx
 
Realiabilty and item analysis in assessment
Realiabilty and item analysis in assessmentRealiabilty and item analysis in assessment
Realiabilty and item analysis in assessment
 
Geometry unit 11.2
Geometry unit 11.2Geometry unit 11.2
Geometry unit 11.2
 
Msm1 fl ch09_05
Msm1 fl ch09_05Msm1 fl ch09_05
Msm1 fl ch09_05
 
Msm1 fl ch09_05
Msm1 fl ch09_05Msm1 fl ch09_05
Msm1 fl ch09_05
 
300017-DumalnegNHS-Raval, Cyrah Mae.ppt
300017-DumalnegNHS-Raval, Cyrah Mae.ppt300017-DumalnegNHS-Raval, Cyrah Mae.ppt
300017-DumalnegNHS-Raval, Cyrah Mae.ppt
 
Obj. 42 Solid Geometry
Obj. 42 Solid GeometryObj. 42 Solid Geometry
Obj. 42 Solid Geometry
 
Geometry unit 11.3
Geometry unit 11.3Geometry unit 11.3
Geometry unit 11.3
 
Power point presentation PIYUSH BHANDARI
Power point presentation PIYUSH BHANDARIPower point presentation PIYUSH BHANDARI
Power point presentation PIYUSH BHANDARI
 
Digitaltext
DigitaltextDigitaltext
Digitaltext
 
MENSURATION
MENSURATIONMENSURATION
MENSURATION
 
1.pptx
1.pptx1.pptx
1.pptx
 
Geometric_Shapes_AreaWeb.ppt
Geometric_Shapes_AreaWeb.pptGeometric_Shapes_AreaWeb.ppt
Geometric_Shapes_AreaWeb.ppt
 

More from jbianco9910

Olivia’s math problem2
Olivia’s math problem2Olivia’s math problem2
Olivia’s math problem2
jbianco9910
 
Olivia’s math problem2
Olivia’s math problem2Olivia’s math problem2
Olivia’s math problem2
jbianco9910
 
Olivia's 100 day of school
Olivia's 100 day of  schoolOlivia's 100 day of  school
Olivia's 100 day of school
jbianco9910
 
Oliviamath problem
Oliviamath problemOliviamath problem
Oliviamath problem
jbianco9910
 
Olivia’s math problem
Olivia’s math problemOlivia’s math problem
Olivia’s math problem
jbianco9910
 
Olivia’s math problem
Olivia’s math problemOlivia’s math problem
Olivia’s math problem
jbianco9910
 
Proving quads are parralelograms
Proving quads are parralelogramsProving quads are parralelograms
Proving quads are parralelogramsjbianco9910
 
Special parralelogrmas day 1
Special parralelogrmas day 1Special parralelogrmas day 1
Special parralelogrmas day 1jbianco9910
 
Polygons day 2 2015
Polygons day 2 2015Polygons day 2 2015
Polygons day 2 2015jbianco9910
 
Parralelogram day 1 with answersupdated
Parralelogram day 1 with answersupdated  Parralelogram day 1 with answersupdated
Parralelogram day 1 with answersupdated jbianco9910
 
Parralelogram day 2
Parralelogram day 2 Parralelogram day 2
Parralelogram day 2 jbianco9910
 
Chapter 5 review drill
Chapter 5 review drillChapter 5 review drill
Chapter 5 review drilljbianco9910
 
Pytha drill into lines of concurrency day 2
Pytha drill into lines of concurrency day 2Pytha drill into lines of concurrency day 2
Pytha drill into lines of concurrency day 2jbianco9910
 
Pytha drill into lines of concurrency
Pytha drill into lines of concurrencyPytha drill into lines of concurrency
Pytha drill into lines of concurrencyjbianco9910
 
Triang inequality drill and review
Triang inequality drill and reviewTriang inequality drill and review
Triang inequality drill and reviewjbianco9910
 
5004 pyth tring inequ and more
5004 pyth tring inequ and more5004 pyth tring inequ and more
5004 pyth tring inequ and morejbianco9910
 
Chapter 5 unit f 003 review and more updated
Chapter 5 unit f 003 review and more updatedChapter 5 unit f 003 review and more updated
Chapter 5 unit f 003 review and more updatedjbianco9910
 
5002 more with perp and angle bisector and cea
5002 more with perp and angle bisector and cea5002 more with perp and angle bisector and cea
5002 more with perp and angle bisector and ceajbianco9910
 
5002 more with perp and angle bisector and cea updated
5002 more with perp and angle bisector and cea updated5002 more with perp and angle bisector and cea updated
5002 more with perp and angle bisector and cea updatedjbianco9910
 
Chapter 5 unit f 001
Chapter 5 unit f 001Chapter 5 unit f 001
Chapter 5 unit f 001jbianco9910
 

More from jbianco9910 (20)

Olivia’s math problem2
Olivia’s math problem2Olivia’s math problem2
Olivia’s math problem2
 
Olivia’s math problem2
Olivia’s math problem2Olivia’s math problem2
Olivia’s math problem2
 
Olivia's 100 day of school
Olivia's 100 day of  schoolOlivia's 100 day of  school
Olivia's 100 day of school
 
Oliviamath problem
Oliviamath problemOliviamath problem
Oliviamath problem
 
Olivia’s math problem
Olivia’s math problemOlivia’s math problem
Olivia’s math problem
 
Olivia’s math problem
Olivia’s math problemOlivia’s math problem
Olivia’s math problem
 
Proving quads are parralelograms
Proving quads are parralelogramsProving quads are parralelograms
Proving quads are parralelograms
 
Special parralelogrmas day 1
Special parralelogrmas day 1Special parralelogrmas day 1
Special parralelogrmas day 1
 
Polygons day 2 2015
Polygons day 2 2015Polygons day 2 2015
Polygons day 2 2015
 
Parralelogram day 1 with answersupdated
Parralelogram day 1 with answersupdated  Parralelogram day 1 with answersupdated
Parralelogram day 1 with answersupdated
 
Parralelogram day 2
Parralelogram day 2 Parralelogram day 2
Parralelogram day 2
 
Chapter 5 review drill
Chapter 5 review drillChapter 5 review drill
Chapter 5 review drill
 
Pytha drill into lines of concurrency day 2
Pytha drill into lines of concurrency day 2Pytha drill into lines of concurrency day 2
Pytha drill into lines of concurrency day 2
 
Pytha drill into lines of concurrency
Pytha drill into lines of concurrencyPytha drill into lines of concurrency
Pytha drill into lines of concurrency
 
Triang inequality drill and review
Triang inequality drill and reviewTriang inequality drill and review
Triang inequality drill and review
 
5004 pyth tring inequ and more
5004 pyth tring inequ and more5004 pyth tring inequ and more
5004 pyth tring inequ and more
 
Chapter 5 unit f 003 review and more updated
Chapter 5 unit f 003 review and more updatedChapter 5 unit f 003 review and more updated
Chapter 5 unit f 003 review and more updated
 
5002 more with perp and angle bisector and cea
5002 more with perp and angle bisector and cea5002 more with perp and angle bisector and cea
5002 more with perp and angle bisector and cea
 
5002 more with perp and angle bisector and cea updated
5002 more with perp and angle bisector and cea updated5002 more with perp and angle bisector and cea updated
5002 more with perp and angle bisector and cea updated
 
Chapter 5 unit f 001
Chapter 5 unit f 001Chapter 5 unit f 001
Chapter 5 unit f 001
 

Recently uploaded

Assuring Contact Center Experiences for Your Customers With ThousandEyes
Assuring Contact Center Experiences for Your Customers With ThousandEyesAssuring Contact Center Experiences for Your Customers With ThousandEyes
Assuring Contact Center Experiences for Your Customers With ThousandEyes
ThousandEyes
 
The Art of the Pitch: WordPress Relationships and Sales
The Art of the Pitch: WordPress Relationships and SalesThe Art of the Pitch: WordPress Relationships and Sales
The Art of the Pitch: WordPress Relationships and Sales
Laura Byrne
 
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Thierry Lestable
 
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...
Jeffrey Haguewood
 
UiPath Test Automation using UiPath Test Suite series, part 3
UiPath Test Automation using UiPath Test Suite series, part 3UiPath Test Automation using UiPath Test Suite series, part 3
UiPath Test Automation using UiPath Test Suite series, part 3
DianaGray10
 
To Graph or Not to Graph Knowledge Graph Architectures and LLMs
To Graph or Not to Graph Knowledge Graph Architectures and LLMsTo Graph or Not to Graph Knowledge Graph Architectures and LLMs
To Graph or Not to Graph Knowledge Graph Architectures and LLMs
Paul Groth
 
AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...
AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...
AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...
Product School
 
Epistemic Interaction - tuning interfaces to provide information for AI support
Epistemic Interaction - tuning interfaces to provide information for AI supportEpistemic Interaction - tuning interfaces to provide information for AI support
Epistemic Interaction - tuning interfaces to provide information for AI support
Alan Dix
 
Connector Corner: Automate dynamic content and events by pushing a button
Connector Corner: Automate dynamic content and events by pushing a buttonConnector Corner: Automate dynamic content and events by pushing a button
Connector Corner: Automate dynamic content and events by pushing a button
DianaGray10
 
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdfFIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance
 
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdfSmart TV Buyer Insights Survey 2024 by 91mobiles.pdf
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf
91mobiles
 
Unsubscribed: Combat Subscription Fatigue With a Membership Mentality by Head...
Unsubscribed: Combat Subscription Fatigue With a Membership Mentality by Head...Unsubscribed: Combat Subscription Fatigue With a Membership Mentality by Head...
Unsubscribed: Combat Subscription Fatigue With a Membership Mentality by Head...
Product School
 
When stars align: studies in data quality, knowledge graphs, and machine lear...
When stars align: studies in data quality, knowledge graphs, and machine lear...When stars align: studies in data quality, knowledge graphs, and machine lear...
When stars align: studies in data quality, knowledge graphs, and machine lear...
Elena Simperl
 
PCI PIN Basics Webinar from the Controlcase Team
PCI PIN Basics Webinar from the Controlcase TeamPCI PIN Basics Webinar from the Controlcase Team
PCI PIN Basics Webinar from the Controlcase Team
ControlCase
 
The Future of Platform Engineering
The Future of Platform EngineeringThe Future of Platform Engineering
The Future of Platform Engineering
Jemma Hussein Allen
 
State of ICS and IoT Cyber Threat Landscape Report 2024 preview
State of ICS and IoT Cyber Threat Landscape Report 2024 previewState of ICS and IoT Cyber Threat Landscape Report 2024 preview
State of ICS and IoT Cyber Threat Landscape Report 2024 preview
Prayukth K V
 
Generating a custom Ruby SDK for your web service or Rails API using Smithy
Generating a custom Ruby SDK for your web service or Rails API using SmithyGenerating a custom Ruby SDK for your web service or Rails API using Smithy
Generating a custom Ruby SDK for your web service or Rails API using Smithy
g2nightmarescribd
 
Mission to Decommission: Importance of Decommissioning Products to Increase E...
Mission to Decommission: Importance of Decommissioning Products to Increase E...Mission to Decommission: Importance of Decommissioning Products to Increase E...
Mission to Decommission: Importance of Decommissioning Products to Increase E...
Product School
 
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...
DanBrown980551
 
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024
Tobias Schneck
 

Recently uploaded (20)

Assuring Contact Center Experiences for Your Customers With ThousandEyes
Assuring Contact Center Experiences for Your Customers With ThousandEyesAssuring Contact Center Experiences for Your Customers With ThousandEyes
Assuring Contact Center Experiences for Your Customers With ThousandEyes
 
The Art of the Pitch: WordPress Relationships and Sales
The Art of the Pitch: WordPress Relationships and SalesThe Art of the Pitch: WordPress Relationships and Sales
The Art of the Pitch: WordPress Relationships and Sales
 
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
 
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...
 
UiPath Test Automation using UiPath Test Suite series, part 3
UiPath Test Automation using UiPath Test Suite series, part 3UiPath Test Automation using UiPath Test Suite series, part 3
UiPath Test Automation using UiPath Test Suite series, part 3
 
To Graph or Not to Graph Knowledge Graph Architectures and LLMs
To Graph or Not to Graph Knowledge Graph Architectures and LLMsTo Graph or Not to Graph Knowledge Graph Architectures and LLMs
To Graph or Not to Graph Knowledge Graph Architectures and LLMs
 
AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...
AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...
AI for Every Business: Unlocking Your Product's Universal Potential by VP of ...
 
Epistemic Interaction - tuning interfaces to provide information for AI support
Epistemic Interaction - tuning interfaces to provide information for AI supportEpistemic Interaction - tuning interfaces to provide information for AI support
Epistemic Interaction - tuning interfaces to provide information for AI support
 
Connector Corner: Automate dynamic content and events by pushing a button
Connector Corner: Automate dynamic content and events by pushing a buttonConnector Corner: Automate dynamic content and events by pushing a button
Connector Corner: Automate dynamic content and events by pushing a button
 
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdfFIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
 
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdfSmart TV Buyer Insights Survey 2024 by 91mobiles.pdf
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf
 
Unsubscribed: Combat Subscription Fatigue With a Membership Mentality by Head...
Unsubscribed: Combat Subscription Fatigue With a Membership Mentality by Head...Unsubscribed: Combat Subscription Fatigue With a Membership Mentality by Head...
Unsubscribed: Combat Subscription Fatigue With a Membership Mentality by Head...
 
When stars align: studies in data quality, knowledge graphs, and machine lear...
When stars align: studies in data quality, knowledge graphs, and machine lear...When stars align: studies in data quality, knowledge graphs, and machine lear...
When stars align: studies in data quality, knowledge graphs, and machine lear...
 
PCI PIN Basics Webinar from the Controlcase Team
PCI PIN Basics Webinar from the Controlcase TeamPCI PIN Basics Webinar from the Controlcase Team
PCI PIN Basics Webinar from the Controlcase Team
 
The Future of Platform Engineering
The Future of Platform EngineeringThe Future of Platform Engineering
The Future of Platform Engineering
 
State of ICS and IoT Cyber Threat Landscape Report 2024 preview
State of ICS and IoT Cyber Threat Landscape Report 2024 previewState of ICS and IoT Cyber Threat Landscape Report 2024 preview
State of ICS and IoT Cyber Threat Landscape Report 2024 preview
 
Generating a custom Ruby SDK for your web service or Rails API using Smithy
Generating a custom Ruby SDK for your web service or Rails API using SmithyGenerating a custom Ruby SDK for your web service or Rails API using Smithy
Generating a custom Ruby SDK for your web service or Rails API using Smithy
 
Mission to Decommission: Importance of Decommissioning Products to Increase E...
Mission to Decommission: Importance of Decommissioning Products to Increase E...Mission to Decommission: Importance of Decommissioning Products to Increase E...
Mission to Decommission: Importance of Decommissioning Products to Increase E...
 
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...
 
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024
Kubernetes & AI - Beauty and the Beast !?! @KCD Istanbul 2024
 

Chapter 10 day 1 s.a. of prisms

  • 1. Drill GT Geom 5/7/14 Find the unknown lengths. 1. the diagonal of a square with side length 5 cm 2. the base of a rectangle with diagonal 15 m and height 13 m 3. the height of a trapezoid with area 18 ft2 and bases 3 ft and 9 ft
  • 2.
  • 3.
  • 4. OBJECTIVE To find lateral area and surface area of a polyhedron, the prism
  • 6. Three-dimensional figures, or solids, can be made up of flat or curved surfaces. Each flat surface is called a face. An edge is the segment that is the intersection of two faces. A vertex is the point that is the intersection of three or more faces.
  • 7.
  • 8. A cube is a prism with six square faces. Other prisms and pyramids are named for the shape of their bases.
  • 9. Postulate Write the formula for the volume of a right rectangular prism. V = lwh We will assume prisms are RIGHT from now on
  • 10. Vocabulary Polyhedron- A geometric solid with polygons as faces.
  • 11. DEFINITION Prism-A polyhedron with two polygonal bases that are parallel and congruent.
  • 12. Right Prism - lateral edges are perpendicular to the planes of the bases.
  • 13. Vocabulary Altitude of a Prism - any segment perpendicular to the planes containing the bases with endpoints in these planes. ( same as HEIGHT)
  • 14. Vocabulary Net - a figure that can be folded to enclose a particular solid figure
  • 15. Classwork Draw a net for a right triangular prism. Draw a net for a right pentagonal prism.
  • 18. Example 2A: Identifying a Three- Dimensional Figure From a Net Describe the three-dimensional figure that can be made from the given net. The net has six congruent square faces. So the net forms a cube.
  • 19. Example 2B: Identifying a Three- Dimensional Figure From a Net Describe the three-dimensional figure that can be made from the given net. The net has one circular face and one semicircular face. These are the base and sloping face of a cone. So the net forms a cone.
  • 20. Check It Out! Example 2a Describe the three-dimensional figure that can be made from the given net. The net has four congruent triangular faces. So the net forms a triangular pyramid.
  • 21. Check It Out! Example 2b Describe the three-dimensional figure that can be made from the given net. The net has two circular faces and one rectangular face. These are the bases and curved surface of a cylinder. So the net forms a cylinder.
  • 22. Lateral Area of a Prism - sum of the areas of the lateral faces. Surface Area of a Prism - sum of the lateral area and the areas of the two bases
  • 26. Prisms and cylinders have 2 congruent parallel bases. A lateral face is not a base. The edges of the base are called base edges. A lateral edge is not an edge of a base. The lateral faces of a right prism are all rectangles. An oblique prism has at least one nonrectangular lateral face.
  • 27. Lateral Area of a Right Prism Is their a short cut for finding the lateral area ?
  • 28. Lateral Area of a Right Prism The lateral area LA of a right prism with height h and perimeter of base p is: LA = Hp or L = Hp
  • 29. Surface Area of a Right Prism The surface area SA of a right prism with lateral LA and the area of a base B is: SA = LA + 2B or S =L + 2B
  • 30. Volume Volume equals Area of the Base times the Height of the object. V = BH Area of the Base x Height of the object
  • 33. Lateral Area of a Right Prism Find the lateral area LA of a right prism with height 10cm, if the base is a regular hexagon with side 3cm.
  • 34. Find the surface area SA of a right prism with height 10cm, if the base is a regular hexagon with side 3cm.(round answer to nearest hundredth)
  • 35. Example 1: Drawing Orthographic Views of an Object Draw all six orthographic views of the given object. Assume there are no hidden cubes.
  • 36. Example 1 Continued Draw all six orthographic views of the given object. Assume there are no hidden cubes. Bottom
  • 37. Example 1 Continued Draw all six orthographic views of the given object. Assume there are no hidden cubes.
  • 38. Example 1 Continued Draw all six orthographic views of the given object. Assume there are no hidden cubes.
  • 39. Check It Out! Example 1 Draw all six orthographic views of the given object. Assume there are no hidden cubes.
  • 40. Check It Out! Example 1 Continued
  • 41. Classwork/Homework Practice and Apply 7.2 P685 #’s 13-26 and 28-31
  • 42. Three-dimensional figures, or solids, can be made up of flat or curved surfaces. Each flat surface is called a face. An edge is the segment that is the intersection of two faces. A vertex is the point that is the intersection of three or more faces.
  • 43.
  • 44. A cube is a prism with six square faces. Other prisms and pyramids are named for the shape of their bases.
  • 45. Prisms and cylinders have 2 congruent parallel bases. A lateral face is not a base. The edges of the base are called base edges. A lateral edge is not an edge of a base. The lateral faces of a right prism are all rectangles. An oblique prism has at least one nonrectangular lateral face.