Question

A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?

Answer 1

Volume of a cube = (edge)^3

In this problem,

Volume = 216in^2

Edge = ?

Let's plug our values into the formula above.

216in^3 = (edge)^3

Take the cbrt of both sides.

6in = edge

The length of each edge = 6in

Answer 2

`\boxed {\tt 6 \ centimeters}`

Explanation:

The volume of a cube can be found using the following formula:

`v=s^3`

where
`s` is the side length, or edge.

We know the volume is 216 cubic inches. We can substitute 216 cm³ in for
`v`, the volume.

`216 \ cm^3 = s^3`

We want to find the side length. Therefore, we must isolate the variable,
`s`.

s is being cubed. The inverse of a cube is the cube root. Take the cube root of both sides of the equation.

`\sqrt[3]{216 \ cm^3} =\sqrt[3]{s^3}`

`\sqrt[3]{216 \ cm^3} =s`

`6 \ cm=s`

The length of each edge of the cube is 6 centimeters.