Question

Find the edge of cube whose lateral surface area is 36cm2

Answer 1

Answer:

Lateral surface area is the area of the 4 ‘walls' of the cube all of which are squares of side = 6 cms (given). Therefore the lateral surface area = 4 a^2 = 4 x 6 x 6 = 144 cm^2.

Total surface area is the area of the 4 ‘walls' of the cube together with the top and base of the cube, all of which are squares of side = 6 cms (given). Therefore the total surface area = 6 a^2 = 6 x 6 x 6 = 216 cm^2.

Answer 2

Step-by-step explanation:

$lateral \: surface \: area = {4a}^{2}$

$4 {a}^{2 } = 36$

${a}^{2} = 9$

a = 3cm

Edge of cube is 3cm