Question

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.

Answer 1

Question :



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.


Answer :


Capacity of the cuboidal tank = 50000 L

[ 1000 L = 1 m³ ]

i.e. , 50000 L = 50 x 1000 litres = 50 m³

→The volume of the tank is 50 m³

Also, it is given that the length of the tank is 10 m.

→Height = 2.5 m

Suppose that the breadth of the tank is b m.

→Now, volume of the cuboid = length x breadth x height

50 = 10 x b x 2.5

50 = 25 x b

➾b = 50/25 = 2 cm

♣ The breadth of the tank is 2 m.

Answer 2

$\huge \mathfrak{S} \text{olution} \colon$

Given,

Capacity of the cuboidal water tank = 50,000 Litre

We know,

1000 Litre = 1 m³

50,000 Litres

= $\dfrac{50000}{1000} \: m^{3}$

= 50 m³

Volume = 50 m³

Length (l) = 2.5m

Height (or depth) (h)= 10m

Let the breadth be b.

Volume = l × b × h

50 = $\dfrac{25}{10}$ × b × 10

$\dfrac{50 × 10}{25 × 10}$ = b

b = 2

Thus,

the breadth of the tank is 2 m.