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 \( 10 \mathrm{~m} \).
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 $2\ m$.
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