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?

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Answer 1 · 2018-06-05T06:48:23

#576# cubic inches

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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.