Question

if total surfaces area of a cube is 1014sq. cm, find the lateral surface area and manin diagonal of the cube.

Answer 1

We know that total surface area of cube = 6a^2

So 6a^2 = 1014 cm^2

a^2 = 1014/6 = 169 cm^2

a = √169 = 13 cm

Thus length of cube is 13 cm.


Lateral surface area = 4a^2 = 4×13^2 = 676 cm^2

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

Answer 2

We know that Total surface area of a cube = 6a^2
given T.S.A of cube is =1014 sq cm
6a^2 = 1014
a^2 = 1014/6
a^2 = 169
a^2 = 13^2
a=13 cm

Lateral surface area of cube is = 4a^2
= 4× 13×13
= 676sqcm