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3 July, 00:27

What is the volume of a pyramid with slant height 25 feet and square base with edges of 14 feet?

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  1. 3 July, 03:24
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    First find the height of the pyramid. Imagine a triangle with hypo 25 ft and base (14/2) ft. The area of the base is 14^2 ft, or 196 ft^2. The height of the pyramid is found using the Pythagorean Theorem:

    (14/2) ^2 + h^2 = 25^2, or 25^2 - 7^2 = h^2

    This, in turn, is 625-49 = 576 = h^2, so that h = + 24 ft.

    Therefore, the volume of this pyramid is A = (1/3) (196 ft^2) (24 ft)

    = 1568 ft^3.
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