Question

A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a side of the water tank.

Answer 1

Given:

Volume of cubical tank =
`(1000)/(125)` cubic meters.

To find:

The length of a side of the water tank.

Solution:

The volume of a cubical tank is:

`V=a^3`

Where, a is the side length.

It is given that the volume of cubical tank is
`(1000)/(125)` cubic meters. So,

`a^3=(1000)/(125)`

`a^3=((10)^3)/(5^3)`

Taking cube root on both sides, we get

`a=(10)/(5)`

`a=2`

Therefore, the length of a side of the water tank is 2 meters.