Question

the perimeter of a surface of a cube is 100 cm . find its total surface area.
step by step explanation..​

Answer 1

Answer:

125

Step-by-step explanation:

Given, the lateral surface area of cube =100msquare

Let the edge of the cube be a m

So the lateral surface area of cube =4asquare

Hence, 4asquare

=100

⇒a square

=25

⇒a=5m

∴ Volume of cube =a cube

=(5)cube

=125mcube

Answer 2

Given:

The perimeter of the surface of the cube is 100 cm.

To find:

The total surface area of the cube.

Solution:

Each surface of a cube is a square of the side same as that of the cube.

Therefore,

The perimeter of a surface of a cube = perimeter of a square

= 4× side

The value of the perimeter of a surface is 100 cm.

By putting the perimeter's value in the formula, we can find the side of the cube.

100 = 4 × ( side)

Side = 100/4

Side = 25 cm

Now,

The total surface area of a cube = 6(Side)²

Total surface area = 6 × (25)²

= 3750 cm²

Hence, the value of the total surface area of the cube is 3750 cm².