Question

if each edge of the cube is doubled then how many times will its surface area increases???

Answer 1

Hi there !!
Here's your answer

Let the original edge be x
Surface area of the original cube = 6x²

If the edge is doubled,
New edge = 2x
Surface area of the new cube = 6(2x)² = 6 × 4x²
= 24x²

Finding the ratio of the new surface area to the original surface area , we have,

$\frac{24x {}^{2} }{6 {x}^{2} }$
= 4

Thus,
The surface area will increase 4 times


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Hope it helps :D

Answer 2

If x is the edge of cube then the surface area is 6x^2
If x is doubled = 2 × x = 2x
The surface are is 6(2x)^2
= 6 × 4x^2 = 24x^2
Compare the two terms
= 24x^2/6x^2 = 4

So the surface are will increase by 4 times