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

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Given:

The capacity of a cuboidal tank is 50000 litres of water.

Length and depth of the tank are respectively $2.5 \mathrm{~m}$ and $10 \mathrm{~m}$.

To do:

We have to find the breadth of the tank.

Solution:

Length of the tank $l=2.5\ m$

Let the breadth of the tank be $b$

Depth(Height) of the tank $h=10\ m$

The capacity of a cuboidal tank is 50000 litres of water.

This implies,

Volume of the tank $=\frac{50000}{1000}\ m^3$                       (Since $1\ L=\frac{1}{1000}\ m^3$)

$=50\ m^3$

Volume of the tank $= lbh$

$=2.5\times b \times10$

$=25b\ m^3$

Therefore,

$25b=50$

$b=\frac{50}{25}$

$b=2\ m$

Hence, the breadth of the tank is $2\ m$.

Updated on 10-Oct-2022 13:46:38