Question

There is 1,25,000 litres of water in a cuboidal tank of length 10 m, breadth
5m and height 3 m. What is the height of water level in the tank?
(2) 2.5 m
(1) 2.25 m
(3) 2.75 m
(4) 2 m
plz solve the problem ​

Answer 1

Answer:

• (2) 2.5 m is the required answer.

Step-by-step explanation:

Given that:

• There is 1,25,000 litres of water in a cuboidal tank of length 10 m, breadth 5m and height 3 m.

To Find:

• What is the height of water level in the tank?

Converting the litres into m³:

• 1000 L = 1 m³
• 125000 = 125000/1000 = 125 m³

∴ Volume of water level = 125 m³

Let us assume:

• The height of water level in the tank be x.

• And the length and breadth of water level would same as the tank.

Finding the height:

We know that.

• Volume of a cuboid = L × B × H

Where,

• Volume = 125 m³
• L = Length = 10 m
• B = Breadth = 5 m
• H = Height = x

⟿ 125 = 10 × 5 × x

⟿ 125 = 50x

⟿ x = 125/50

⟿ x = 2.5

∴ The height of water level in the tank = 2.5 m.

Answer 2

Answer:

Height of water level in the tank is 2.5 m.

Step-by-step explanation:

Given :-

There is 1,25,000 litres of water in a cuboidal tank of length 10 m, breadth 5 m and height 3 m.

To find :-

Height of water level in the tank.

Solution :-

We know,

• 1 m³ = 1000 L

So,

• 1,25,000 L = 125000/1000
• 1,25,000 L = 125 m³

We have,

• Volume = 125 m³
• Length = 10 m
• Breadth = 5 m

To find,

• Height

Volume of cuboid,

• Length × Breadth × Height

Substituting,

• 125 = 10 × 5 ×Height
• 125 = 50 × Height
• Height = 125/50
• Height = 2.5

∴Height of water level in the tank is 2.5m.