Question

There is a cubical reservolr water tank is Anamika's house. If the volume of the tank is 512 cubic If meter, find the height of the tank.​

Answer 1

8 meter

Explanation:

Volume of cubical tank = Area of base * height

Volume of cubical tank = a * a * a

[ all 3 sides of a cube are equal, assume the side as 'a' ]

Volume = a³

a³ = 512

a = ∛512

a = 8 meter

As all dimensions of a cubical tank are equal, height of this tank = 8 meter.

Answer 2

To find the height of the water tank, we need to know the length of one side of the cube-shaped tank.

Let's assume that the length of one side of the tank is 'x' meters.

The volume of the cube-shaped tank is given as 512 cubic meters, so we have:

The volume of the tank = (length of one side)^3

512 = x^3

Taking the cube root on both sides, we get:

x = 8

Therefore, the length of one side of the tank is 8 meters.

Since the tank is a cube, the height of the tank is also 8 meters.

Explanation: