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 = $\dfrac{1000}{125}$ 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 $\dfrac{1000}{125}$ cubic meters. So,

$a^3=\dfrac{1000}{125}$

$a^3=\dfrac{(10)^3}{5^3}$

Taking cube root on both sides, we get

$a=\dfrac{10}{5}$

$a=2$

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