Find the length of the diagonal of a closed cube whose total surface area is 96 m2.
Answer & explanation
Correct answer: option 2
We know that,
Diagonal of cube = \(\sqrt {3}\) × Side of cube
The total surface area of a cube = 6a2 ( If a is the side )
We have,
The total surface area of the room = 96 m2
6a2 = 96
= a2 = 16
= a = 4
The length of the diagonal of the cube = 4\(\sqrt {3}\) m.