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  • 04-04-2018
  • Mathematics
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A square pyramid and a cube have the same bases and volumes. How are their heights related?

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mkryukova19 mkryukova19
  • 04-04-2018
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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