Question

The capacity of a cuboidal container is 30000 litres of water. If the base area of the tank is $7.5m^2,$ then the height of the tank is

• A. 3 m
• B. 4 m
• C. 2.5 m
• D. 1.5 m

Answer 1

The correct option is B 4 m

Given that the capacity of the cuboidal container is 30000 litres and the base area of the tank is $7.5m^2$.
Let $l$, $b$ and $h$ be the length, breadth and height of the cuboidal container.
Capacity of the cuboidal container = 30000 L
$\Rightarrow l\times b\times h=\frac{30000}{1000}{m}^3=30m^3$ ....(i)
$(\because 1L=1000m^3)$
Base area of the tank $=7.5m^2$
$\Rightarrow l\times b=7.5m^2$
Substituting in (i), we get
$7.5\times h=30$
$\Rightarrow h=\frac{30}{7.5}$
$\Rightarrow h=4m$
Therefore, the height of the tank is 4$m$.
Hence, the correct answer is option (b).