Question

volume practice worksheet find the volume inside the cube but outside the sphere. the cube has sidelenghts of 8 meters

Answer 1

Approximately 243.917

Explanation:

The cube has a volume of 8³ = 512.

The sphere has a volume of
`(4)/(3)\pi r^3`.

The volume inside the cube but outside the sphere is:

`512-(4)/(3)\pi r^3` (1)

The radius of the sphere is equal to the sidelengths of the cube divided by 2 as seen by the picture.

So r = 8/2 = 4.

Substituting r into (1):

`512-(4)/(3)\pi 4^3=512-(256\pi )/(3)=243.917`

Answer 2

Answer: 512 feet^3

Explanation:

The volume of a cube is x^3, where x is the sidelength. 8^3 is equal to 512 and since its in the 3rd dimension it's feet^3 or feet cubed.