SOLUTION: Metal is cut away from a solid cube with a side 12 cm in such a way that a pyramid is produced with the same height and base as the cube. Determine the volume which was cut away.

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Question 1154403: Metal is cut away from a solid cube with a side 12 cm in such a way that a pyramid is produced with the same height and base as the cube. Determine the volume which was cut away.

PLEASE HELP ME
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a solid cube with a side 12cm has a volume of
%2812cm%29%5E3=1728cm%5E3
since the volume of a pyramid is 1%2F3 of the volume a solid cube, the volume of a pyramid is
%281%2F3%291728cm%5E3=576cm%5E3
the rest 2%2F3 is the volume which was cut away, so 2%2A576cm%5E3=1152cm%5E3