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

3 cubic feet
6 cubic feet
18 cubic feet
27 cubic feet

Option D

The volume of cube is 27 cubic feet

Solution:

The volume of pyramid is given as:

Given that volume of a pyramid that fits exactly inside a cube 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"

height = x

area of base square =

[ since area of square = ]

The volume of cube is given as:

Where "x" is the length of side

Thus volume of cube is 27 cubic feet

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step-by-step explanation: