The maximum volume of a square pyramid that can fit inside the cube would be when the height of the pyramid is equal to the side length of the cube, which is 15cm.
The volume of a pyramid is given by the formula V = (1/3) * base area * height. For a square pyramid, the base area would be the side length of the square base squared.
The side length of the square base of the pyramid would be the same as the side length of the cube, which is 15cm.
So, the base area = 15cm * 15cm = 225cm^2.
Plugging in the values into the volume formula:
V = (1/3) * 225cm^2 * 15cm
V = (1/3) * 3375cm^3
V = 1125cm^3
Therefore, the maximum volume of a square pyramid that can fit inside the cube is 1125 cubic centimeters. Rounding to the nearest whole number, the answer is 1125.
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)
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