There is a cube with a side length of 15cm. What is the maximum volume of a square pyramid that can fit inside the cube? Round your answer to the nearest whole number(1 point)

volume =
cm3

1 answer

The maximum volume of a square pyramid that can fit inside the cube would be half the volume of the cube.

Volume of cube = (side length)^3
Volume of cube = 15cm x 15cm x 15cm
Volume of cube = 3375 cm^3

Maximum volume of square pyramid = 3375 cm^3 / 2 = 1687.5 cm^3

Rounded to the nearest whole number, the maximum volume of a square pyramid that can fit inside the cube would be 1688 cm^3.