Question

The volume of a cube is 216 cm^3. What is the length of one side?

Answer 1

6 cm

Explanation:

Given that the volume of a cube is 216 cm³, we can find the length of one of its sides by examining a cube's volume formula:

`V = s^3`

where
`s` is the length of one side.

If we plug 216 cm³ in for
`V`:

`216 \text{ cm}^3 = s^3`

we can see that we need to take the cube root of both sides to solve for
`s`, or the length of one side:

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

`6\text{ cm} = s`

So, the length of one of the cube's sides is 6 cm.

Further Note

We can check this by plugging 6 cm back into the volume formula:

`V \stackrel{?}{=} (6\text{ cm})^3`

`V \stackrel{\checkmark }{=} 216\text{ cm}^3`