Question

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.

Answer 1

volume of cuboid = lbh
5 x 2 x1
10 m
10/0.5
20m

Answer 2

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.