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What is the volume of this pyramid?

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ft³
Rectangular pyramid. Two adjacent sides of the base are labeled 10 feet and 6 feet. A perpendicular segment from the vertex of the pyramid to the base is labeled 8 feet.

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sqdancefan

Answer:

  160 ft³

Explanation:

You want the volume of a rectangular pyramid with a base that is 6 ft by 10 ft and a height of 8 ft.

Volume

The volume of the pyramid will be 1/3 the volume of a rectangular prism with the same length, width, and height:

  V = 1/3(LWH)

  V = 1/3(10 ft)(6 ft)(8 ft) = 160 ft³

The volume of the pyramid is 160 cubic feet.