math

The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches. What is the volume of a pyramid with a base area of 15 square inches and a height of 7 inches?
The volume of the pyramid is _____ cubic inches.

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  1. v = k A h

    24 = k 24 * 3
    so
    k = 1/3 (this is not news by the way:)

    v = (1/3)(15)(7)
    = 35 cubic inches

    By the way:
    The volume of any shape with pointy top and straight sides is (1/3)(base area)(height)
    ---->cone, pyramid, whatever

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