The maximum volume of a square pyramid that can fit inside a cube will occur when the base of the square pyramid coincides with the base of the cube.
The base area of the cube is 15cm x 15cm = 225cm^2
The height of the square pyramid will be the same as the side length of the cube, which is 15cm.
The volume of a square pyramid is given by the formula: V = (1/3) * base area * height
V = (1/3) * 225cm^2 * 15cm
V = 1125cm^3
Therefore, the maximum volume of a square pyramid that can fit inside the cube is approximately 1125cm^3 (rounded to the nearest whole number).
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
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