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If the length of diagonal of a cube is $83 cm$ , then what is its surface area?

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384

c m 2

452

c m 2

644

c m 2

254

c m 2

answer is A.

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Detailed Solution

Given-

Length of diagonal = 83 We know, Length of diagonal for cube = 3 a Which means, a = 8 c m

Surface area of the cube,

⇒ 6 a 2 ⇒ 6 (8) 2 ⇒ 6 × 64 ⇒ 384

Thus, the surface area is 384

c m 2

Hence, option 1 is the correct option.

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