Final answer:
To find the volume of the cube, use the formula Volume = side length^3 and solve an equation involving the volume of the pyramid.
Step-by-step explanation:
The volume of a pyramid that fits exactly inside a cube is 9 cubic feet. To find the volume of the cube, we need to determine the side length of the cube.
Let's assume the side length of the cube is x feet. The volume of the cube can be calculated using the formula: Volume = x³.
Since the volume of the pyramid is 9 cubic feet, we can set up the equation: (1/3)(x²)(x) = 9. Solving this equation will give us the value of x, which is the side length of the cube. Once we have the value of x, we can substitute it into the volume formula to calculate the volume of the cube.