The volume of a pyramid that fits exactly inside a cube is 10 cubic feet. What is the volume of the cube? (5 points)
30 cubic feet
100 cubic feet
300 cubic feet
1000 cubic feet

Respuesta :

Answer:

30 cubic feet

Step-by-step explanation:

volume of a pyramid is (l*w*h)=3

assuming it is a pyrmaid where l=w=h, volume = x^3/3 = 10

x^3=30

x=30^(1/3)

volume of a cube is l*w*h, with our assumption, that translates to x*x*x

Volume = 30^(1/3)*3 = 30 cubic feet

The volume of the cube, in relation to the given pyramid is: 30 cubic feet.

What is a Cube?

  • Volume of a pyramid = 1/3(l × w × h)
  • Volume of a cube = l × w × h

Relating both volumes, we would have:

Volume of cube = 3(volume of pyramid)

Volume of pyramid is given as 10 cubic feet, therefore:

Volume of the cube = 3(10)

Volume of the cube = 30 cubic feet.

Learn more about volume of cube on:

https://brainly.com/question/1972490