Question

Question #23886

Answer 1

Length of one side of the box = 5 m.

Explanation:

This is a cube shaped box. Volume of a cube is `a^3` where 'a' is side of the cube.
Given volume is 125 m^3.
Let's first find the factors of 125.
`volume = 125 = 5*5*5`
`a^3 = 5*5*5 = 5^3`
`:.` a = 5 m.

Answer 2

`5` `m`

Explanation:

Let the side length of the box be `s`

`color(blue)("Volume of box"=s^3`

So,

`rarr125=s^3`

`rarrroot(3)125=s`

`rarrs=root(3)(5*5*5`

`rarrs=root(3)(5^3`

`color(green)(rArrs=5` `color(green)(m`

Hope that helps!!! ☺○☻