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2 August, 09:20

A square pyramid and a cube have the same bases and volumes. How are their heights related?

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  1. 2 August, 10:09
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    Volume of square pyramid = a²*h/3, bases are the same so area of a base = a²

    Volume of cube=a²*a, same base so area of a base of a cube = a²,

    because all edges of a cube are equal, so height of a cube = a

    Volume of the square pyramid=Volume the a cube

    a²*h/3=a²*a

    h/3=a

    h=3a

    the height of the pyramid is 3 times the height of the cube
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