The volume of a pyramid that fits exactly inside a cube is 49 cubic feet. what is the volume of the cube? 7 cubic feet 147 cubic feet 241 cubic feet 2401 cubic feet

B.

Step-by-step explanation:

We have been given that volume of a pyramid that fits exactly inside a cube is 49 cubic feet. We are asked to find the volume of the cube.

We will use volume of pyramid and cube formula to solve our given problem.

, where a represents measure of each side of cube.

, where,

l = Length of pyramid,

w = Width of pyramid,

h = Height of pyramid.

Since pyramid fits inside the cube, so its length, width and height will be equal to each edge of cube.

Multiplying both sides of our equation by 3, we will get:

Therefore, the volume of cube is and option B is the correct choice.

step-by-step explanation: