Ex.13.5 Q2 Surface Areas and Volumes Solution - NCERT Maths Class 9

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Question

Q2. A cuboidal water tank is \(6 \rm m\) long, \(5\rm m\) wide and \(4.5\rm m\) deep. How many liters of water can it hold? (1 m3= 1000 l)

Text Solution

Reasoning:

Capacity of the tank is nothing but the volume of the cuboid.

What is known?

The length, breadth and height the tank.

What is unknown?

Capacity of the tank in litres.

Steps:

Capacity of the tank \(=\) Volume of the cuboidal tank.

Length\(\begin{align}\,(l) = 6\,\,\rm m \end{align}\)

Breadth \(\begin{align}\,(b) = 5\,\,\rm m \end{align}\)

Height \(\begin{align}(h) = 4.5\,\,\rm m \end{align}\)

Volume of a cuboid \(\begin{align} = 6 \times 5 \times 4.5 = 135\,\,\rm{m^3} \end{align}\)

\(\begin{align} 1\,\,\rm {m^3} = 1000\,\,l \end{align}\)

\(\begin{align}\therefore 135\,\,\rm{m^3} = 135 \times 1000 \end{align}\)

\(\begin{align} = 135000\,\,l \end{align}\)

Answer:

Litres of the water the cuboidal water tank can hold\(\begin{align}\, = 135000\,\,l \end{align}\).