Question

The adge of cube is increased by 100% the surface area of the cube is increased by?

Answer 1

Answer:

400%

Step-by-step explanation:

Let the edge of a cube be 10 cm

Surface Area of the cube = 6 * (10)^2

                                          = 6 * 100

                                          = 600cm^2

Edge of the cube after increasing the length = 10 + 10/100 * 100

                                                                          = 10 + 10

                                                                          = 20

Surface Area of the cube = 6 * (20)^2

                                          = 6 * 400

                                          = 2400

Therefore,

the increase % = 2400/600 *100

                         = 4*100

                         = 400%

Answer 2

Answer:

400%

Step-by-step explanation:

edge is increased 100%

Let the  edge  be =  a

then  edge after increasing    is    = 2a

Surface area                  = 6a^2

new surface area          = 6 [2a]^2 = 6 [4a^2] = 24a^2

increasing %   = 24a^2/[6a^2][100]

                         =4[100]%

                         =400%