Question

if the total surface of a cube is 1014 sq cm find the lateral surface and main diagonal of the cube
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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