You are making an enclosed square pyramid (with floor) for your social studies project. The bottom has a side of 12 inches and the whole pyramid is 12 inches high. How much sand will it take to fill up the inside?

1 Answer
Jun 5, 2018

576 cubic inches

Explanation:

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The formula for volume of a pyramid is:

V_("Pyramid")=1/3A_("Base")h where h is the vertical height of the pyramid.

The base of this pyramid is a square with side length of 12 inches.

A_("Base")=12^2=144 square inches

V_("Pyramid")=1/3(144)(12)=576 Cubic inches

It would take 576 cubic inches of sand to fill it up.