The diagonal of a cube is 24 cm. Find its total surface area.

1152 cm²

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