Question

If total area of a cube is 1014sq.cm, find the lateral surface area and main diagonal of the cube.

Answer 1

We know that total surface area of cube = 6a²

So 6a² = 1014 cm²

a² = 1014/6 = 169 cm²

a = √169 = 13 cm

Thus length of cube is 13 cm.

Lateral surface area = 4a² = 4×13² = 676 cm²

Main diagonal = √3 a = √3×13 = 13√3 cm