Question
Download Solution PDFIf the length of the diagonal of a cube is 7\({\sqrt{3} }\) cm, then the surface area of the cube is ______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The length of the diagonal of a cube is 7\({\sqrt{3} }\) cm
Concept used:
Diagonal of cube = a√3
Surface area of cube = 6a2
Calculation:
We know that,
Diagonal of cube = a√3
a√3 = 7√3
⇒ a = 7
Now,
Surface area of cube = 6a2 = 6(7)2 =
⇒ 294 cm2.
∴ The surface area of the cube is 294 cm2.
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