Question

if the area of a face of a cube is 10 cm2 then the total surface area of the cube is​

Answer 1

Answer:

60cm²

Step-by-step explanation:

Given:-

Area of cube = 10cm²

To find that:-

Total surface area of cube

Answer:-

Total surface area = 6 x area of face of cube

= 6 x 10cm

= 60cm²

Answer 2

• Total surface area of cube is 60 cm².

Step-by-step explanation:

Given:-

• Area of face of a cube is 10 cm².

To find:-

• Total surface area of cube.

Solution:-

We know,

Face of cube is of square shape because cube is three dimensional shape of square.

Area of square = side × side

So,

$\longrightarrow$ 10 = Side × Side

$\longrightarrow$ 10 = side²

$\longrightarrow$ Side = √10

$\longrightarrow$ Side = 3.16

Side of square is 3.16 cm (approx).

We know side of square is edge of cube.

So,

Edge of cube is 3.16 cm (approx)

Now,

Total surface area of cube = 6 a²

Where,

• a is edge of cube.

Put edge of cube for total surface area of cube :

$\longrightarrow$ 6 × (3.16)²

$\longrightarrow$ 6 × 10

$\longrightarrow \purple{\boxed{\sf \bold{60}}\star}$

Therefore,

Total surface area of cube is 60 cm².