Solid Figures

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What are Solid Figures?

Solid figures are 3-dimensional figures that have length, width, and height. Solid figures can be made with more than one shape.

Types of Solid Figures

There are 6 different types of solid figures we are going to look at today:

Pyramids PrismsCylinders ConesSpheres Cubes

PYRAMIDS Solid Figures

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What are Pyramids?

A pyramid is a solid figure that has a polygon for a base, and three or more triangular faces that meet at a point called an apex. The triangular sides are called the lateral faces to distinguish them from the base.

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Types of Pyramids

There are many different types of pyramids. Pyramids are classified by the shape of their base, since all of the other faces are triangles. So, if we had a pentagon for the base of a pyramid, that pyramid could be classified as a pentagonal pyramid.

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Examples of Pyramids

Here are some examples of pyramids. Can you classify them by their bases?

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This pyramid is aPentagonal pyramid!

This pyramid is aTriangular pyramid!

This pyramid is aRectangular pyramid!

Review of Pyramids

A pyramid is a solid figure that has a polygon for a base, and three or more triangular faces that meet at a point called an apex.

Pyramids can be classified by their bases.

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PRISMS Solid Figures

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What are Prisms?

A prism is a solid figure that has two parallel and congruent bases (which are polygons) and flat faces.

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Types of Prisms

Prisms can, like pyramids, be classified by the shape of their bases. So, if you have a prism with triangles for bases, you would have a triangular prism.

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Examples of Prisms

Here are some examples of prisms. Can you classify them by their bases?

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This prism is aTriangular prism!

This prism is aHexagonal prism!

This prism is aRectangular prism!

Review of Prisms

A prism is a solid figure that has parallel and congruent bases (which are polygons) and flat faces.

Prisms can be classified by the shape of their bases.

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A Special Type of Prism

There is another solid figure that is also a prism, but it is a special type of prism. We will talk about that solid figure in the next section.

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CUBESSolid Figures

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What are Cubes?

Recall that a prism is a solid figure that has two parallel and congruent bases (which are polygons) and flat faces. A cube is a special type of prism, so it fits that description.

Cubes

What Makes a Cube a Cube?

A cube is a type of prism; a rectangular prism, to be exact. The difference between an ordinary rectangular prism and a cube is the fact that all of a cube’s faces are congruent, or, the same shape and size. All of the 6 faces on a cube are also squares. Therefore, a cube has the same dimensions for its length, width, and height.

Cubes

An Example of a Cube

This is an example of a cube:

Cubes

Notice that all of the faces on the cube are congruent squares. That key feature is what

sets a cube apart from a rectangular prism.

Cube or Rectangular Prism?

Look at the solid figures below. Identify whether they are cubes or rectangular prisms.

Cubes

Rectangular prism Cube! Rectangular prism Rectangular prism

Review of Cubes

A cube is a solid figure that has six flat, congruent, square faces.

A cube is a special type of prism.

Cubes

CYLINDERSSolid Figures

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What are Cylinders?

A cylinder is a solid figure that has 2 congruent, parallel, circular bases that are connected by a curved side.

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Examples of Cylinders

These are all cylinders:

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Notice that all of these solid figures are cylinders because they all have 2 congruent, parallel, circular bases that are connected by a curved side.

Review of Cylinders

A cylinder is a solid figure that has 2 congruent, parallel, circular bases that are connected by a curved side.

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CONESSolid Figures

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What are Cones?

A cone is a solid figure with 1 circular base and a vertex that is not on the base. The vertex and the circular base are connected by a curved side.

Cones

Example of a Cone

This is an example of a cone:

Cones

This is the circular base of the cone.

This is the vertex of the cone.

And this is the curved side that connects them!

Review of Cones

A cone is a solid figure with 1 circular base and a vertex that is not on the base. The vertex and the circular base are connected by a curved side.

Cones

SPHERESSolid Figures

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What are Spheres?

A sphere is a solid figure in which a set of points are of equal distance from the center point. A sphere is round, like a basketball.

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Example of a Sphere

This is an example of a sphere:

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Review of Spheres

A sphere is a solid figure in which a set of points are of equal distance from the center point.

A sphere is round.

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REVIEW OF SOLID FIGURESSolid Figures

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Identify each solid figure.

A solid figure will be shown on the screen. Take out a sheet of paper and write what you think each solid figure is. The answers will be shown at the end.

(the solid figure will be shown

here)

Identify

Identify each solid figure.

A solid figure will be shown on the screen. Take out a sheet of paper and write what you think each solid figure is. The answers will be shown at the end.

1.

Name this solid figure!

Identify

Identify each solid figure.

A solid figure will be shown on the screen. Take out a sheet of paper and write what you think each solid figure is. The answers will be shown at the end.

2.

Name this solid figure!

Identify

Identify each solid figure.

A solid figure will be shown on the screen. Take out a sheet of paper and write what you think each solid figure is. The answers will be shown at the end.

3.

Name this solid figure!

Identify

Identify each solid figure.

A solid figure will be shown on the screen. Take out a sheet of paper and write what you think each solid figure is. The answers will be shown at the end.

4.

Name this solid figure!

Identify

Identify each solid figure.

A solid figure will be shown on the screen. Take out a sheet of paper and write what you think each solid figure is. The answers will be shown at the end.

5.

Name this solid figure!

Identify

Identify each solid figure.

A solid figure will be shown on the screen. Take out a sheet of paper and write what you think each solid figure is. The answers will be shown at the end.

6.

Name this solid figure!

Identify

Identify each solid figure.

A solid figure will be shown on the screen. Take out a sheet of paper and write what you think each solid figure is. The answers will be shown at the end.

7.

Name this solid figure!

Identify

Identify each solid figure.

A solid figure will be shown on the screen. Take out a sheet of paper and write what you think each solid figure is. The answers will be shown at the end.

8.

Name this solid figure!

Identify

Identify each solid figure.

A solid figure will be shown on the screen. Take out a sheet of paper and write what you think each solid figure is. The answers will be shown at the end.

9.

Name this solid figure!

Identify

Identify each solid figure.

A solid figure will be shown on the screen. Take out a sheet of paper and write what you think each solid figure is. The answers will be shown at the end.

10.

Name this solid figure!

Identify

Answers:

1. Sphere2. Rectangular Pyramid3. Hexagonal Prism4. Cube5. Cone6. Sphere7. Triangular Pyramid8. Cylinder9. Pentagonal Pyramid10. Triangular Prism

Identify

Draw each solid figure.

The name of a solid figure will be shown on the board. On a sheet of paper, draw (to the best of your ability) that solid figure.

(the name and answer will be shown here)

Dra

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Draw each solid figure.

The name of a solid figure will be shown on the board. On a sheet of paper, draw (to the best of your ability) that solid figure.

1. Cylinder

Draw this solid figure!

Dra

w

Draw each solid figure.

The name of a solid figure will be shown on the board. On a sheet of paper, draw (to the best of your ability) that solid figure.

2. Cone

Draw this solid figure!

Dra

w

Draw each solid figure.

The name of a solid figure will be shown on the board. On a sheet of paper, draw (to the best of your ability) that solid figure.

3. Cube

Draw this solid figure!

Dra

w

Draw each solid figure.

The name of a solid figure will be shown on the board. On a sheet of paper, draw (to the best of your ability) that solid figure.

4. Rectangular Pyramid

Draw this solid figure!

Dra

w

Draw each solid figure.

The name of a solid figure will be shown on the board. On a sheet of paper, draw (to the best of your ability) that solid figure.

5. Sphere

Draw this solid figure!

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Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

(the name, drawing, and answer will be shown here)

Defin

e

Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

Cone

Defin

e

Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

ConeA cone is a solid

figure with 1 circular base and a vertex that is not on the base. The vertex and the circular base are connected by a curved side.

Defin

e

Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

Prism

Defin

e

Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

PrismA prism is a solid

figure that has two parallel and congruent bases (which are polygons) and flat faces.

Defin

e

Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

Sphere

Defin

e

Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

Sphere

A sphere is a solid figure in which a set of points are of equal distance from the center point. A sphere is round.

Defin

e

Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

Cylinder

Defin

e

Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

Cylinder

A cylinder is a solid figure that has 2 congruent, parallel, circular bases that are connected by a curved side.

Defin

e

Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

Pyramid

Defin

e

Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

Pyramid

A pyramid is a solid figure that has a polygon for a base, and three or more triangular faces that meet at a point called an apex.

Defin

e

Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

Cube

Defin

e

Define each solid figure.

The name and drawing of a solid figure will be shown on the board. As a class, discuss the definition of each solid figure.

CubeA cube is a solid

figure that has six flat, congruent, square faces. It is a special type of prism.

Defin

e

CONGRATULATIONS!

You now know the 6 main types of solid figures, as well as how to define, identify, and draw them!