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# 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} $.

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 $2\ m$.**

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