Geometry | Unit 5 | Lesson 13: Building a Volume Formula for a Pyramid | Practice Problems

Find the volume of a pyramid whose base is a square with side lengths of 6 units and height of 8 units.

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CCSS.HSG.GMD.A.3

A cylinder has radius 9 inches and height 15 inches. A cone has the same radius and height. Find the volume of the cylinder.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has the same radius and height as the cylinder. Find the volume of the cone.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What fraction of the cylinder’s volume is the cone’s volume?

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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CCSS.8.G.A.3

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CCSS.7.G.A.3

Select the most specific and accurate name for the solid in the image.

• triangular pyramid

• regular prism

• square prism

• right triangular prism

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CCSS.1.G.A.1

CCSS.2.G.A.1

A solid can be constructed with 4 triangles and 1 rectangle. What is the name for this solid?

• rectangular pyramid

• triangular pyramid

• right triangular prism

• rectangular prism

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CCSS.1.G.A.1

CCSS.2.G.A.1

Find the volume of the solid produced by rotating this two-dimensional shape using the axis shown.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

This zigzag crystal vase has a height of 20 centimeters. The cross sections parallel to the base are always rectangles that are 12 centimeters wide by 6 centimeters long. If we assume the crystal itself has no thickness, what would be the volume of the vase?

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CCSS.7.G.B.6