Question

if edge of cube is doubled so what will be the change in volume and surface area of cube ​

Answer 1

Let the length of the edge of the cube be 'x' cm

Total surface area = 6x2 cm2

Increased length of the edge = 2x

Total surface area = 6(2x)2 cm2 = 24x2 cm2

If the edge of the cube is doubled surface area of the cube increases by 4 times.

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Answer 2

Answer:

Volume increases by 8 times and surface area increases by 4 times.

Step-by-step explanation:

Let us assume that initially edge of cube is 'a'.

Initial Surface area = 6*a^2

Initial Volume = a^3

Now, since edge is doubled, so, new edge = 2a

New surface area = 6*(2*a)^2 = 6*4*a^2 = 4*(Initial surface area)

New Volume =(2*a)^3 = 8*a^3 = 8*(Initial volume)