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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