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Visualizing
Solid Figures
Mary Ann M. Sison
Teacher II
Who Am I?
1. I have 0 sides. I have 0 vertices. I
am round.
2. I have 4 sides. My sides are
equal. I have 4 vertices.
3. I have 3 sides. My sides are not
always the same. I have 3
vertices.
circle
square
triangle
4. I am a solid figure. I have no faces
or edges. I am round.
5. I am a solid figure. I have 6 faces.
8 vertices and 12 edges, all equal.
6. I am a solid figure. I am round and
have 1 round face. I have a point
and 1 round edge.
sphere
cube
cone
4
Directions: From the given items below, identify
which of them are plane figures and which of them
are solid figures. Write P for plane figures and S for
solid figures.
The first known step pyramid was built near Saqqarah, Egypt, for
King Zoser around 2650 B.C. Three of Egypt’s largest pyramids
are found at Giza near Cairo. The largest of these, the Great
Pyramid or Pyramid of Khufu, was originally 481 feet tall and
covered about 13 acres. Another of the largest pyramids in the
world is the pyramid of Cholula, Mexico built by the Toltec
Indians. The pyramid shape is often used in the roof lines of
modern structures. Ask pupils to describe any structure they have
seen that incorporate pyramid shapes.
7
Answer the following questions.
1. What do you call the figures that are not flat?
______________
2. What is a three-dimensional figure with flat
surfaces? ____________
3. What is each face made of? _____________
4. What is a prism? ______________
5. What is the difference between prism and
pyramid? ____________
Prism - a solid geometric figure whose two end faces are
similar, equal, and parallel rectilinear figures, and whose
sides are parallelograms.
Pyramid – a polyhedron having for its base a polygon and
for faces triangles with common vertex.
Elements of a Prism
A prism can be labeled with its features,
which helps characterize them.
Edge: A straight line that connects any two
adjacent vertices of a prism is called its
edge.
Vertex: The corners of a prism where any
two edges meet are called vertices.
Face: It is a closed, flat surface surrounded
Visualizing Solid Figures
Plane Figures are two-
dimensional shapes and
they look flat. They can
be made of straight
lines, curved lines, or
both.
11
What is a plane figure?
A plane figure is two dimensional figure which
possesses an area but the volume of this figure is zero.
The examples of plane figures are square, circle,
rectangle, triangle etc.
Plane figures can be drawn on a paper.
The unit of area of a plane figure is square of unit of
length.
The study of plane figures is called plane geometry.”
What are the different plane figures present in the
classroom?
12
What is a solid figure?
 Solid figures are three-dimensional objects,
meaning they have length, width, and height.
Because they have three dimensions, they
have depth and take up space in our universe.
 Solid figures are identified according to the
features that are unique to each type of solid.
Specifically, you can observe the numbers of
faces, edges, and vertices, as well as the
shape of the base.
13
“The three-dimensional figures are called
solid figures. These figures have an surface
area as well as a volume. These figures
cannot be drawn on a paper. The examples
of solid figures are cuboid, parallelepiped,
football, solid sphere etc. The unit of area of
a solid figure is square of unit of length.
Similarly, the volume of three-dimensional
figure is cube of unit of length.”
14
A solid figure that has all flat surfaces is a
polyhedron.
Each surface of a polyhedron is a face.
Two faces of a polyhedron meet to form an edge.
The edges meet to form a vertex.
15
Cube
Vertex
Edge
Face
Square Pyramid
Face
Edge
Vertex
16
Rectangular
Prism
Vertex
Edge
Face
Triangular Prism
Face
Edge
Vertex
17
Some solid figures are polyhedrons and some
are not.
 The cube, prisms, and pyramids are
polyhedrons because they all have flat
surface.
 The sphere, cylinder, and cone are not
polyhedrons because they have some
curved surfaces.
18
Curved
Surface
Flat Circular
Face
Cone Flat Circular
Face
Curved
Surface
Cylinder
Curved
Surface
Sphere
19
The table below shows the number of faces, edges,
and vertices of the solid figures.
Solid Figure Illustration Definition
Number
of Faces
Number
of Vertices
Number
of Edges
Rectangular
Prism
Composed of
two
rectangular
bases and
four
rectangular
lateral faces.
6 8 12
20
Solid Figure Illustration Definition
Number
of Faces
Number
of Vertices
Number
of Edges
Cube
A prism with
a square
base.
All of its
faces are
square.
6 8 12
Triangular
Prism
Compose of
two triangular
bases and
three
rectangular
lateral faces.
5 6 9
21
Solid Figure Illustration Definition
Number
of Faces
Number
of Vertices
Number
of Edges
Square
Based
Pyramid
A polyhedron
whose base is
a polygon and
the lateral
faces are
triangles.
5 5 8
Cylinder
Has two
circular bases
that are
congruent and
parallel.
2 0 0
22
Solid Figure Illustration Definition
Number
of Faces
Number
of Vertices
Number
of Edges
Cone Has one
circular base.
1 0 0
Sphere
Is a curved
surface of
points that
are all of the
same
distance from
the center.
0 0 0
23
Directions: Read carefully and answer the following
questions. Write the answer on your answer sheet
______1. Garrett has a shape with 1 curved
face, 0 vertex and no edges. What shape does
Garrett have?
______2. Michael has a shape with 7 faces.
The two end faces are congruent and parallel.
What shape does Michael have?
24
______3. Palge has a plane figure with four equal
straight sides and four right angles. What
shape does Palge have?
______4. Mary has 2 cubes. Mackenzi has 3
cubes. What solid figures will form if they
stacking towards cube?
______5. Emily has a figure with four straight
sides and four right angles, especially one
with unequal adjacent sides, in contrast to a
square. What shape does Emily have?
THANK YOU
Mary Ann M. Sison
0943-251-2857
maryann.sison001@deped.gov.ph
maryannsison137@gmail.com

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Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx

  • 2. Who Am I? 1. I have 0 sides. I have 0 vertices. I am round. 2. I have 4 sides. My sides are equal. I have 4 vertices. 3. I have 3 sides. My sides are not always the same. I have 3 vertices. circle square triangle
  • 3. 4. I am a solid figure. I have no faces or edges. I am round. 5. I am a solid figure. I have 6 faces. 8 vertices and 12 edges, all equal. 6. I am a solid figure. I am round and have 1 round face. I have a point and 1 round edge. sphere cube cone
  • 4. 4 Directions: From the given items below, identify which of them are plane figures and which of them are solid figures. Write P for plane figures and S for solid figures.
  • 5.
  • 6. The first known step pyramid was built near Saqqarah, Egypt, for King Zoser around 2650 B.C. Three of Egypt’s largest pyramids are found at Giza near Cairo. The largest of these, the Great Pyramid or Pyramid of Khufu, was originally 481 feet tall and covered about 13 acres. Another of the largest pyramids in the world is the pyramid of Cholula, Mexico built by the Toltec Indians. The pyramid shape is often used in the roof lines of modern structures. Ask pupils to describe any structure they have seen that incorporate pyramid shapes.
  • 7. 7 Answer the following questions. 1. What do you call the figures that are not flat? ______________ 2. What is a three-dimensional figure with flat surfaces? ____________ 3. What is each face made of? _____________ 4. What is a prism? ______________ 5. What is the difference between prism and pyramid? ____________
  • 8. Prism - a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms. Pyramid – a polyhedron having for its base a polygon and for faces triangles with common vertex.
  • 9. Elements of a Prism A prism can be labeled with its features, which helps characterize them. Edge: A straight line that connects any two adjacent vertices of a prism is called its edge. Vertex: The corners of a prism where any two edges meet are called vertices. Face: It is a closed, flat surface surrounded
  • 10. Visualizing Solid Figures Plane Figures are two- dimensional shapes and they look flat. They can be made of straight lines, curved lines, or both.
  • 11. 11 What is a plane figure? A plane figure is two dimensional figure which possesses an area but the volume of this figure is zero. The examples of plane figures are square, circle, rectangle, triangle etc. Plane figures can be drawn on a paper. The unit of area of a plane figure is square of unit of length. The study of plane figures is called plane geometry.” What are the different plane figures present in the classroom?
  • 12. 12 What is a solid figure?  Solid figures are three-dimensional objects, meaning they have length, width, and height. Because they have three dimensions, they have depth and take up space in our universe.  Solid figures are identified according to the features that are unique to each type of solid. Specifically, you can observe the numbers of faces, edges, and vertices, as well as the shape of the base.
  • 13. 13 “The three-dimensional figures are called solid figures. These figures have an surface area as well as a volume. These figures cannot be drawn on a paper. The examples of solid figures are cuboid, parallelepiped, football, solid sphere etc. The unit of area of a solid figure is square of unit of length. Similarly, the volume of three-dimensional figure is cube of unit of length.”
  • 14. 14 A solid figure that has all flat surfaces is a polyhedron. Each surface of a polyhedron is a face. Two faces of a polyhedron meet to form an edge. The edges meet to form a vertex.
  • 17. 17 Some solid figures are polyhedrons and some are not.  The cube, prisms, and pyramids are polyhedrons because they all have flat surface.  The sphere, cylinder, and cone are not polyhedrons because they have some curved surfaces.
  • 18. 18 Curved Surface Flat Circular Face Cone Flat Circular Face Curved Surface Cylinder Curved Surface Sphere
  • 19. 19 The table below shows the number of faces, edges, and vertices of the solid figures. Solid Figure Illustration Definition Number of Faces Number of Vertices Number of Edges Rectangular Prism Composed of two rectangular bases and four rectangular lateral faces. 6 8 12
  • 20. 20 Solid Figure Illustration Definition Number of Faces Number of Vertices Number of Edges Cube A prism with a square base. All of its faces are square. 6 8 12 Triangular Prism Compose of two triangular bases and three rectangular lateral faces. 5 6 9
  • 21. 21 Solid Figure Illustration Definition Number of Faces Number of Vertices Number of Edges Square Based Pyramid A polyhedron whose base is a polygon and the lateral faces are triangles. 5 5 8 Cylinder Has two circular bases that are congruent and parallel. 2 0 0
  • 22. 22 Solid Figure Illustration Definition Number of Faces Number of Vertices Number of Edges Cone Has one circular base. 1 0 0 Sphere Is a curved surface of points that are all of the same distance from the center. 0 0 0
  • 23. 23 Directions: Read carefully and answer the following questions. Write the answer on your answer sheet ______1. Garrett has a shape with 1 curved face, 0 vertex and no edges. What shape does Garrett have? ______2. Michael has a shape with 7 faces. The two end faces are congruent and parallel. What shape does Michael have?
  • 24. 24 ______3. Palge has a plane figure with four equal straight sides and four right angles. What shape does Palge have? ______4. Mary has 2 cubes. Mackenzi has 3 cubes. What solid figures will form if they stacking towards cube? ______5. Emily has a figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square. What shape does Emily have?
  • 25.
  • 26. THANK YOU Mary Ann M. Sison 0943-251-2857 maryann.sison001@deped.gov.ph maryannsison137@gmail.com