A rectangular water tank can contain 210 litres of water. If the length and breadth of the tank are 50 cm and
60 cm, find the height of the tank.
Answers
Answered by
12
★ Given:
A rectangular water tank can contain 210 litres of water.
Length of the tank = 50 cm
Breadth of the tank = 60 cm
★ To find:
The height of the tank.
★ Solution:
So, 210 litres = 210 x 1000 cm³
= 210000 cm³
Volume of a cuboid = lbh ----- (1)
Given volume = 210000 cm³ ----- (2)
Combining equations (1) and (2)
lbh = 210000 cm³
Length = 50 cm
Breadth = 60 cm
Height = ?
Substituting the values in the equation:
50 x 60 x h = 210000 cm³
3000h = 210000 cm³
h = 210000/3000
h = 70 cm
Hence the required height of the tank is 70 cm.
Important Volume Formulae:
→ Volume of cuboid = lbh
→ Volume of cube = a³
→ Volume of cylinder = πr²h
→ Volume of cone = 1/3πr²h
→ Volume of sphere = 4 /3πr³
minakshi0059:
it's correct
Answered by
46
Given :
- A rectangular water tank contain 210 litres of water.
- Length and breadth of the tank are 50cm and 60cm.
Observation :
- Shape = cuboid
- Length = 50cm
- Breadth = 60cm
- Volume = 210 litres
To Find :
- Height of the tank
Formula Applied :
- l = length
- b = breadth
- h = height
Solution :
- The height of the tank can be obtained using the formula of capacity of tank
- To substitute the values in the formula we have to convert the volume of tank from litres to cubic units. So let's convert the volume of water from litres to
- So now let's substitute the values in formula to obtain height of the tank.
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