Question

5. A cube has the total surface area of 384 cm. Find its Lateral surface area.
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Answer 1

Answer:

Let a be the side of the cube. Given that T.S.A = 384 sq. cm.

i.e., 6a

2

=384⇒a

2

=

6

384

=64

∴a=

64

=8cm

Hence, Volume =a

3

=8

3

=512cm

3

solution

Answer 2

☆Question:-

A cube has the total surface area of 384 cm. Find its lateral surface area.

☆Answer:-

Given,

Total surface area of cube is 384 cm.

Then, side=a

According to question;

Total surface area of cube=6(a)²

∵ 384 cm=6(a)²

∴ 384/6 cm=(a)²

∴ 64 cm=(a)²

∴ 8 cm=a

Hence,side of cube is 8 cm.

We find that lateral surface area of cube.

Then,4(a)²=4(8)² cm=4×64 cm=256 cm.