The volume of a pyramid that fits exactly inside a cube is 9 cubic feet. what ks the volume of the cube

Volume of cube = 27 cubic feet

Step-by-step explanation:

We are given that the pyramid fits exactly inside a cube and its volume is 9 cubic feet.

We are to find the volume of a cube.

Since the pyramid fits exactly in the cube so its base will be a square with length and height equal to x.

So the volume will be:

Volume of Pyramid =

So the value of x = 3.

Therefore, the volume of cube will be = 27 cubic feet.