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OpenStudy (anonymous):
what is the maximum volume of a pyramid that can fit inside a cube with a side length of 18cm?
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OpenStudy (anonymous):
Well the base of the pyramid would be equal to the base of the cube. |dw:1358090035884:dw|
OpenStudy (anonymous):
And the height of the pyramid is equal to the height of the cube
OpenStudy (anonymous):
this is not the way to solve it. Putting the base of the pyramid flush with one of the sides yields a max volume of 1944 cubic centimetres. Putting the base of the pyramid as the diagonal bisection of the cube gives a pyramid of volume 2749 cubic cm.
OpenStudy (anonymous):
|dw:1358090524265:dw|
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