Correct Answer - Option 3 : 3136 sq cm
Given:
The total surface area of the cube = 4704 sq cm
Formula Used:
The total surface area of the cube = 6a2
The lateral surface area of the cube = 4a2
Where,
a = side of the cube
Calculation:
According to the question,
6a2 = 4704
⇒ a2 = 4704/6
⇒ a2 = 784
Now,
The lateral surface area of the cube = 4a2
⇒ 4 × 784
⇒ 3136
∴ The lateral surface area of the cube is 3136 sq cm.