The diagonal of a cube is 24 cm. Find its total surface area.
Answer & explanation
Correct answer: option 1
We know that,
Total surface area of the cube with side s = 6s2
Diagonal of a cube = 24 cm
Diagonal of cube = \(\sqrt {3}\) × Side of cube = 24
Side of cube = \(\frac{24}{\sqrt {3}}\) = 8\(\sqrt {3}\)
Now the total surface area of a cube = 6(8\(\sqrt {3}\))2 = 1152cm2