Question

The perimeter of one of the faces of a cube is 10 cm. The total surface area of the cube is​

Answer 1

Answer:

60

Step-by-step explanation:

s×s=10

s=√10

T.S.A of a cube = 6a²

=6{10}²

=6×10 =60

Answer 2

Answer:

The Total Surface Area of a Cube whose 1 face has a Perimeter of 10m is 37.5m².

Step-by-step explanation:

We have,

A cube whose face has a perimeter of 10 m

We know that,

1 face of a cube is nothing but a square in 2D.

And Perimeter of a Square = 4a

But Given,

Perimeter = 10m

∴ 4a = 10m

where a is the side of the square.

4a = 10

a = 10/4

a = 2.5m

Thus,

The side of the square, that is, nothing but the edge of the cube is 2.5m.

Now,

The Total Surface Area(TSA) of a Cube = 6a²

where a is the edge/side of the cube.

TSA = 6a²

We know that, a = 2.5m

Thus,

TSA = 6 × (2.5)²

TSA = 6 × (6.25)

TSA = 37.5m²

Thus,

The Total Surface Area of a Cube whose 1 face has a Perimeter of 10m is 37.5m².

Hope it helped and believing you understood it........All the best