Question

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A square-based pyramid has height h and base area a. A cube has the same base area and the same height. If the cube has a volume of 195 cubic centimeters, what is the volume of the pyramid?(1 point)
The pyramid has a volume of
cubic centimeters.

Answer 1

Volume of cube = s^3 = 195, where s is the cube side (so a = s^2 and h = s).
Pyramid volume = (1/3)·a·h = (1/3)·s^2·s = (1/3)·s^3 = (1/3)·195 = 65.

The pyramid's volume is 65 cubic centimeters.