A cuboidal tank of dimensions 5 m × 2 m × 1 m is full of water. Then, find the amount of water that must be taken out to reduce the water level by 0.5 m.
Answers
5 x 2 x1
10 m
10/0.5
20m
Given:
The dimensions of the cuboidal tank 5m × 2m × 1m
To Find:
The amount of water that must be taken out to reduce the water level by 0.5m
Solution:
Firstly, we have to find the total volume of the cuboidal tank using the formula of the volume of the cuboid.
So, the formula to calculate the volume of the cuboid = length × breadth × height
The length of the cuboid = 5m
The breadth of the cuboid = 2m
The height of the cuboid = 1m
Now, the volume of the cuboidal tank = length × breadth × height
Substituting the given values,
= 5 × 2 × 1
= 10m
Therefore, the volume of the cuboidal tank is 10m³.
Then, the amount of water that must be taken out to reduce the water level by 0.5m will be the volume of the cuboidal tank divided by the level of water.
⇒ 10/0.5
⇒ 20m
Therefore, the amount of water that must be taken out is 20m.