The surface area of a cube is 13.5 m2. What is the length (in m) of its diagonal ?
Answer & explanation
Correct answer: option 2
We know that,
Surface area of a cube = 6(side)2
Diagonal of cube = \(\sqrt {3}\) × Side of cube
We have,
The surface area of the cube = 13.5 m2
According to the question,
6 × side2 = 13.5
side = 1.5
Longest diagonal = \(\sqrt {3}\) × Side of cube = 1.5\(\sqrt {3}\)