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 m³ (∵ 1m³ = 1000L)

= 50 m³

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 m³

b = 50 m³/l × h

b = 50 m³/(2.5m × 10m)

= 2 m

☛ Check: NCERT Solutions Class 9 Maths Chapter 13

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.

☛ Related Questions:

• A matchbox measures 4 cm × 2.5 cm × 1.5 cm. What will be the volume of a packet containing 12 such boxes?
• A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many liters of water can it hold? (1 m³ = 1000 L)
• A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?
• Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of ₹30 per m³.