Volumes of Prisms and Pyramids

Volume of Prisms & Pyramids

By Jamie McGuinn

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• ​2 parallel and congruent bases

• surrounding faces are rectangles

​​Prisms:

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• 1 base

• surrounding faces are triangles​

​​Pyramids:

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​Volume = area of the base x height of prism

​​Prisms: V = Bh

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​Note: Because you are multiplying all 3 dimensions together, the units will be cubed.

Multiple Choice

What is the volume of the rectangular prism?

• 40 square inches

• 120 square inches

• 120 cubic inches

• 158 square inches

• 158 cubic inches

Fill in the Blanks

Multiple Choice

What is the volume of the triangular prism?

• 90 cm cubed

• 98.5 cm cubed

• 180 cm cubed

​Volume = 1/3 x area of the base x height of the pyramid

​ or

Volume = area of the base x height ÷ 3​

​​Pyramids: V = 1/3Bh

Multiple Choice

What is the volume of the pyramid?

• 168m³

• 84m³

• 56m³

• 174m³

Fill in the Blanks

Multiple Choice

What is the approximate volume of the right triangular pyramid?

• 952 units cubed

• 317 units cubed

• 635 units cubed

• 1904 units cubed