Question

if the edge of double find percentage increase in the surface area​

Answer 1

Answer:

percentage increase in its total surface area 300%

Explanation

Surface area of a cube with side 'a' can be written as

Surface area A =6a^2

If each edge of a cube is doubled, side of cube a becomes 2a

Therefore, Surface area A =6a^2 = 6 (2a)^2 = 24a^2

then the percentage increase in its total surface area =[ (difference of surface area) x 100]/initial surface area

Difference of surface area= 24a^2 - 6a^2=18a^2

  percentage increase in its total surface area = (18a^2 x 100)/6a^2 300%

Hope this helps...!

Answer 2

Let edge = x area = 6x^2
If edge isn’t doubled than edge = 2x
Area = 6 (2x) ^2 = 24x^2
So increase in area = 24x^2-6x^2= 18x^2
% increase =18x^2/3x^2 x100 = 300%