Question

the volume of cube is 125cm3,find it's total surface area

Answer 1

Let the side of the cube be A

Cube's volume 125cm3 = A^3

therefore,  A = 5

So,
it's total surface area = 6x5^2 = 150cm^2.

Answer 2

The total surface area of cube is 150 cm².

Given : The volume of the cube is 125 cm³.

To find : The total surface area of the cube.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the total surface area of the cube)

Now, we know that :

Volume of a cube = (side)³

Which implies,

Side of a cube = ³√Volume (i.e. cube root of volume)

By putting the given data, we get :

Side of a cube = ³√125 = 5 cm

Now, we also know that :

Total surface area of a cube = 6 × (side)²

By putting the available data, we get :

Total surface area of the cube = 6 × (5)² = 150 cm²

(This will be considered as the final result.)

Hence, the total surface area of the cube is 150 cm².