Question

if the lateral surface area of a cube is 600 CM ^2then the total surface area is​

Answer 1

Answer :-

Total surface area of a cube is 900 cm².

Solution :-

We know that

Lateral surface are of a cube = 4a²

Where, a = Length of the edge of a cube

Given

Lateral surface are of a cube = 600 cm²

⇒ 4a² = 600

⇒ a² = 600/4

⇒ a² = 150

We know that

Total surface are of a cube = 6a²

= 6(150)

[Because a² = 150]

= 900 cm²

Therefore total surface area of a cube is 900 cm².

Answer 2

Formula used :-

Lateral surface area = 4a²

As while finding l.s.a only 4 sides of cube are involved.

Total surface area = 6a²

As while finding T.S.A all sides (6) of cube are involved.

Solution

Lateral surface area = 600 cm²

Again lateral surface area = 4a² ,So -

4a² = 600

a². = 150

We know that TSA is 6a² So,

6a² = 6 × 150

6a² = 900 cm²

So the required Total surface area of given cube is 900 cm²