# The capacity of a cuboidal tank is 50000 litres of water.

Question:

The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank if its length and depth are respectively 10 m and 2.5 m. (Given, 1000 litres = 1 m3.)

Solution:

Capacity of the tank $=50000 \mathrm{~L}=\frac{50000}{1000}=50 \mathrm{~m}^{3}$   $\left(1000 L=1 \mathrm{~m}^{3}\right)$

Length of the tank = 10 m

Height (or depth) of the tank = 2.5 m

Now,

Volume of the cuboidal tank = Length × Breadth × Height

$\therefore$ Breadth of the tank $=\frac{\text { Volume of the tank }}{\text { Length } \times \text { Height }}=\frac{50}{10 \times 2.5}=\frac{50}{25}=2 \mathrm{~m}$

Thus, the breadth of the tank is 2 m.