Ex.13.5 Q5 Surface Areas and Volumes Solution - NCERT Maths Class 9

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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 $$2.5\rm m$$ and $$10\rm m.$$

Video Solution
Surface-Areas-And-Volumes
Ex exercise-13-5 | Question 5

Text Solution

Reasoning:

Capacity of the cuboidal tank $$=$$ Volume of the cuboidal tank.

Volume of the cuboid \begin{align} = l \times b \times h \end{align}

What is the known?

Capacity of the tank length and height of the tank.

What is the unknown?

Steps:

Capacity of the tank $$= 50000\rm \,\,\ litres.$$

\begin{align}1000\,\,l& = 1\,\,\rm {m^3} \\50000\,l &= \frac{{50000}}{{1000}} = 50\,\,\rm{m^3} \end{align}

Volume has to be changed in \begin{align}\rm {m^3} \end{align} because all the measurements are in meter.

Volume of the cuboid\begin{align}\, = l \times b \times h \end{align}

length$$\,(l)\, = 2.5\,\rm cm$$

breadth$$\,(b)\,= \,?$$

height $$(h) = 10\,\,\rm cm$$

\begin{align}2.5 \times 10 \times b &= 50\\b &=\frac{{50}}{{2.5 \times 10}}\\ &= 2\,\,\rm m \end{align}

The breadth of the cuboidal tank is $$2 \rm \,m.$$