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 m and 10 m.
Solution:
Let the breadth of the tank be b m.
Length (l) and depth (h) of tank is 2.5 m and 10 m respectively.
Volume of $\operatorname{tank}=1 \times b \times h$
$=(2.5 \times b \times 10) \mathrm{m}^{3}$
$=25 b \mathrm{~m}^{3}$
Capacity of tank $=25 b \mathrm{~m}^{3}=25000 \mathrm{~b}$ litres
$\therefore 25000 b=50000$
$\Rightarrow b=2$
Therefore, the breadth of the tank is 2 m.
Let the breadth of the tank be b m.
Length (l) and depth (h) of tank is 2.5 m and 10 m respectively.
Volume of $\operatorname{tank}=1 \times b \times h$
$=(2.5 \times b \times 10) \mathrm{m}^{3}$
$=25 b \mathrm{~m}^{3}$
Capacity of tank $=25 b \mathrm{~m}^{3}=25000 \mathrm{~b}$ litres
$\therefore 25000 b=50000$
$\Rightarrow b=2$
Therefore, the breadth of the tank is 2 m.