Question

If each edge of a cube is doubled .How many times will its surface area increase ?

Answer 1

$\huge\bold{Answer}$

Let the edge of the cube be $x$ units.

Since Surface area of the cube = ${6a}^{2}$

= ${6x}^{2}$

When, a = 2x

Then , the surface area of cube = ${6a}^{2}$

=$6*{(2x)}^{2}$

= $6* {4x}^{2}$

= $4* {6x}^{2}$

= 4*surface area

Therefore, its surface area will increase 4 times.

Answer 2

suppose that the edge of the cube 'a' when it's doubled then edge will be '2a'

Here, initial surface area=

$6a {}^{2}$

final surface area=6(2a)^2

therefore, surface area is increased by 4times