# The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 10 m.

**Solution:**

Given: the length and depth of the cuboidal tank are 2.5 m and 10 m respectively. The capacity of the tank is 50000 litres.

We have to find the breadth of the cuboidal tank.

Since the tank is cuboidal in shape, the volume of the tank will be equal to the volume of the cuboid.

The volume of cuboid of length l, breadth b, and height h, is l × b × h

First, we will change volume in cubic meters because all the measurements are in meters.

The capacity of the tank = 50000L

= 50000/1000 m^{3} (∵ 1m^{3} = 1000L)

= 50 m^{3}

Length of the cuboidal tank, l = 2.5 m

Height of the cuboidal tank, h = 10 m

Let the breadth of the cuboidal tank be b

Volume of the cuboidal tank = l × b × h

l × b × h = 50 m^{3}

b = 50 m^{3}/l × h

b = 50 m^{3}/(2.5m × 10m)

= 2 m

**Video Solution:**

## The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 10 m.

### Class 9 Maths NCERT Solutions - Chapter 13 Exercise 13.5 Question 5:

**Summary:**

It is given that the capacity of a cuboidal tank is 50000 litres of water. We have found that the breadth of the cuboidal tank is 2 m if its length and depth are respectively 2.5 m and 10 m.