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:

cube has 6 faces....so...

1 face is 10cm²

6 faces is 10×6= 60cm²

Answer 2

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Question:-

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

$\text{\large\underline{\red{Given:-}}}$

• Area of face of a cube is 10 cm².

$\text{\large\underline{\purple{To find:-}}}$

• Total surface area of cube.

$\text{\large\underline{\pink{Solution:-}}}$

We know,

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

• Area of square = side × side

So,

• $⟶$ 10 = Side × Side
• $⟶$ 10 = side²
• $⟶$ Side = √10
• $⟶$ 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

$\text{\large\underline{\red{Where,}}}$

• A is edge of cube.

Put edge of cube for total surface area of cube :

• $⟶$6 × (3.16)²
• $⟶$ 6 × 10
• $\large { \underline{ \boxed{ \textsf{60}}}}$

Therefore,

Total surface area of cube is 60 cm².

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