Question : If the length of the diagonal of a cube is $7 \sqrt{3} \mathrm{~cm}$, then the surface area of the cube is_____.
Option 1: 216 cm2
Option 2: 256 cm2
Option 3: 284 cm2
Option 4: 294 cm2
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Correct Answer: 294 cm 2
Solution : We know that the diagonal of a cube = a$\sqrt3$ According to the question, a$\sqrt3$ = 7$\sqrt{3}$ ⇒ a = 7 Now, the Surface area of the cube = 6a 2 = 6(7) 2 = 294 cm 2 Hence, the correct answer is 294 cm 2 .
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