Question

The capacity of a cuboidal tank is $50000L$ of water. Find the breadth of the tank if its length and depth are respectively $10m$ and $2.5m$. (Given, $1000L=1m^3$.)

Answer 1

Given:

Capacity of the tank $=50000L$

$=50\times 1000L$

$=50m^3$ [Since, $1000L=1m^3$]

i.e., The volume of the cuboidal tank $=50m^3$

It is given that,
Length of the tank $\left(l\right)=10m$
Height (or depth) of the tank $\left(h\right)=2.5m$
Let the the breadth of the tank be $b$.
Volume of the cuboidal tank $=\text{Length}\times \text{Breadth}\times \text{Height}$

$\Rightarrow l\times b\times h=50m^3$

$\Rightarrow 10m\times b\times 2.5m=50m^3$

$\Rightarrow b\times 25m^2=50m^3$

$\Rightarrow b=\frac{50m^3}{25m^2}$

$\Rightarrow b=2m$
Thus, the breadth of the tank is $2m$.