what is the maximum volume of a pyramid that can fit inside a cube with a side length of 18cm?

Question

anonymous · Answer

Well the base of the pyramid would be equal to the base of the cube.

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anonymous · Answer

And the height of the pyramid is equal to the height of the cube

anonymous · Answer

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.

anonymous · Answer

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