The capacity of a certain cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its height and length are 10 m and 2.5 m respectively.
Solution
\[\text{ Capacity of the cuboidal tank = } 50000 L\]
\[1000 L = 1 m^3 \]
\[i . e . , 50000 L = 50 \times 1000 litres = 50 m^3 \]
\[ \therefore \text { The volume of the tank is 50 }m^3 . \]
\[\text { Also, it is given that the length of the tank is } 10 m . \]
\[\text { Height = 2 . 5 m }\]
\[\text { Suppose that the breadth of the tank is b m }. \]
\[\text { Now, volume of the cuboid = length } \times \text { breadth } \times \text { height }\]
\[ \Rightarrow 50 = 10 \times b \times 2 . 5\]
\[ \Rightarrow 50 = 25 \times b\]
\[ \Rightarrow b = \frac{50}{25} = 2 m\]
\[ \therefore \text { The breadth of the tank is 2 m } .\]
