The capacity of a cuboidal tank is 25,000 litres. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 20 m.
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Answer :
- The breadth of the tank is 2m
Given :
- The capacity of a cuboidal tank is 25,000 litres
- Length and depth are 2.5m and 20m
To find :
- Breadth of the tank
Solution :
Given
- length of the tank = 2.5m
- Height of the tank = 20m
- Let the breadth of the tank be b
Given,
- The capacity of a cuboidal tank is 25,000 litres so,
- Volume of cuboid = 25,000
As we know that,
- Volume of cuboid = l × b × h
Where,
- L is length of the tank
- b is breadth of the tank
- h is height of the tank
→ Volume of cuboid = length × breadth × height
→ 25000 m³ = 2.5 × b × 20
→ 25000 × 1/1000 m³ = 2.5 × b × 20
→ 25 m³ = 2.5 × b × 20
→ 25 = 50b
→ 50b = 25
→ b = 50/25
→ b = 2m
Hence , The breadth of the tank is 2m
More Explanation :
- 1m³ = 1000 litres
- 1/1000 m³ = 1 litre
- 1 litre = 1/1000 m³
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