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 10 m and 2.5 m.
(Given, 1000 litres = 1 m^3.)
​

Answer 1

Breadth = 2m

Step-by-step explanation:

• Length(l) = 10m
• Breadth(b) = 2.5m
• Capacity/Volume = 50000l
• Height = ?

$1000 l = 1m³ \\=> 1 l = \frac{1}{1000}m³ \\=> 50000 l = \frac{1}{1000}\times 50000 \\ => </p><p>\boxed{50\:m³}$

Now :-

$\color{red}{volume = l\times b \times h}$

Lets put The values :-

$10m \times b \times 2.5 m = 50m³ \\=> 25 b = 50 \\ =>b = \frac{50}{25} \\ =>\boxed{b = 2m}</p><p>$

Hope it helped

Answer 2

$Answer⬇️$

Let breadth(b)=x m

l=2.5 m, h=10 m

V=l×b×h=(2.5×x×10)m³

=25x m³

Capacity of a tank =25x m³=50000 litres

⇒25x m³=50 m³

⇒x=2

Hence, b=2 m.