Question

the lateral surface area of a cube is 72sqcm then find the total surface area of the cube​

Answer 1

Answer:

Lateral surface area of cube = 4a2

4a2= 72

a2 = 72/4 = 18

a2 = 18

a = root of 18cm

TSA of cube = 6a2

6(18)

6 x 18 = 108cm

=108cm

Hope it helps

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given that

Lateral surface area of a cube is 72 sq cm

To find

Total surface area of the cube

Solution

$lateral \: surface \: area \: of \: cube = 4 \times {a}^{2} \\ 72 = 6 \times {a}^{2} \\ a = 4.24cm$

$total \: surface \:area = 6 \times {a}^{2} \\ = 6 \times {4.24}^{2} \\ = 108 {cm}^{2}$

hence total surface area of cube is 108 sq cm