Volume of Prisms & Pyramids

Volume of Prisms & Pyramids

By Jamie McGuinn

Volume: the amount of space it takes to fill a 3D object; the capicity or amount it holds; l*w*h

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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 Blank

What is the volume?

(Type the numerical value only.)

Multiple Choice

What is the volume of the triangular prism?

• 90 cm cubed

• 98.5 cm cubed

• 180 cm cubed

Fill in the Blank

A pool holds 600 cubic feet of water. If the pool is 6 feet deep and 10 feet wide, how long is the pool?

​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 Blank

What is the volume of the square pyramid in cubic centimeters? (Only type numerical answer.)

Multiple Choice

What is the approximate volume of the right triangular pyramid?

• 952 units cubed

• 317 units cubed

• 635 units cubed

• 1904 units cubed

Fill in the Blank

Lenny is constructing a rectangular pyramid for a project. He wants the base of the pyramid to measure 4 inches by 5 inches and the height of the pyramid to be 6 inches. How many cubic inches could the pyramid hold?