Question

what will be the total area of all the faces of a cube if the area of one face of the cube is 4 cm​

Answer 1

Step-by-step explanation:Each face of a cube is a square.

Let the side of the square face =a cm

Perimeter of the square =4a=24 cm =>a=6 cm

Total surface area of a cube of edge a =6a

2

So, the total surface area of the cube of edge a =6 cm is =6(6)

2

=216cm

2

Answer 2

Given :

• Area of one face of cube = 4 cm

To find :

• Total surface area of cube?

Solution :

☯ Let sides of cube be x cm.

We know that,

• Each faces of cube is square.

According to the Question:

• Area of one face = Area of square

And, We know that,

★ Area of square = Side × Side

→ x × x = 4

→ x² = 4

→ x = √4

→ x = 2 cm

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Now, Calculating TSA of cube,

★ TSA of cube = 6 × (side)²

Here,

• side = 2 cm

Therefore,

→ 6 × (2)²

→ 6 × 4

→ 24 cm²

Hence, Total surface area of cube is 24 cm².