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

## Question

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? \((1 \text{ m}^3= 1000 \,l)\)

## 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

\[\begin{align} = 6 \times 5 \times 4.5 = 135\,\,\rm{m^3} \end{align}\]

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

\(\begin{align}\therefore 135\,\,\rm{m^3} &= 135 \times 1000\\& = 135000\,\,l\end{align}\)

**Answer:**

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