a reservoir in the form of a cuboid of length 10 m breadth 8.5 m and height 7.5 m , filled with water . Find the volume of water in the reservoir in kilolitres and litres . If one litre of water weight one kilogram , find the weight of water in the reservoir , in tonnes and kilogram?
Answers
Given:-
- Length of Cuboid = 10m
- Breadth of Cuboid = 8.5m
- Height of Cuboid = 7.5m
To Find:-
- Volume of water in the reservoir in kilolitres and litres.
- if one litre of water weight one kilogram , find the weight of water in the reservoir , in tonnes and kilogram?
Formulae used:-
- Volume of Cuboid = L × B × H
- 1000cm³ = 1 litre
- 1000kg = 1tonnes
Now,
→ Volume of water = L × B × H
→ Volume of water = 10 × 8.5 × 7.5
→ Volume of water = 637.5m³
Hence, The Volume of water in reservoir is 637.5m³
As we know,
→ 1000cm³ = 1litre
→ 100cm³ = 1m³
→ 637.5m³ = 63750cm³
→ 63750cm³ → 63.75L
Again,
→ 1 kl = 1000l
→ 63.75 = 0.06375l
So, The Volume of water in litre and kl is 63.75 and 0.06375 respectively.
Given:
- Length l = 10m
- Breadth b = 8.5m
- Height h = 7.5m
- 1L of water = 1kg
To find:
- Volume of water in litres and kilolitres
- Weight of water in the reservoir in tonnes and kilograms
Method:
Reservoir is in the shape of cuboid
Volume of cuboid = l × b × h
⇒ Volume = 10 × 8.5 × 7.5
⇒ Volume = 637.5 m³
Now, for finding the volume of water in litres,
1m³ = 1000 Litres
637.5 m³ = 637.5 × 1000 = 637500 Litres
1000 L = 1 Kilolitre
637500 L = 637500 ÷ 1000 = 637.5 Kilolitres
1 Litre = 1 Kilogram
637500 Litre = 637500 Kilograms
1000 Litre = 1 tonne
637500 Litres = 637500 ÷ 1000 = 637.5 tonnes
Therefore,
Volume = 637.5 m³ = 637500 L = 637.5 Kilolitres = 637500 kg = 637.5 tonnes