Question

if edge of a cube is increased by 10% , by what percent its lateral surface area would increase.

Answer 1

$<box>$ Solution

Let the edge of the square = 100

Increased by 10%

therefore, New edge will be 110

lateral Surface Area of a square = 6 * (100)^2

                               = 60000

lateral  Surface area of square with new edge = 6*(110)^2

= 72600

increase% ( 72000-60000/60000)*100


answer 21%

Answer 2

Here is your solution

Let,
The edge of the square = 100
Increased by 10%

Therefore, New edge will be 110

lateral Surface Area of a square = 6×100)^2
  = 60000

lateral  Surface area of square with new edge = 6×(110)^2

= 72600

increase% ( 72000-60000/60000)×100

Hence increase % is

21%

Hope it helps you