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Q.

If the perimeter of each face of a cube is 32 cm, then its lateral surface area is $256 c m 2$ .

State true or false.

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a

True

b

False

answer is A.

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Detailed Solution

Given, perimeter of each face of a cube is 32 cm.
To find if lateral surface area is

256 c m 2

or not.
We know that, perimeter of square

= 4 × s i d e

.

⇒ 4 a = 32 ⇒ a = 8 c m

The lateral surface area of a cube

= 4 × s i d e 2

.

= 4 × 82 = 4 × 64 = 256 c m 2

Therefore, the given statement is true i.e., If the perimeter of each face of a cube is 32 cm, then its lateral surface area is

.
Correct option is 1.

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If the perimeter of each face of a cube is 32 cm, then its lateral surface area is 256c m 2 .State true or false.