Question

What will happen to the cube if it's edge will be doubled

Answer 1

Let the edge length of the cube be 'a' units.
Now volume
$= {a}^{3}$
Surface area
$= 4 {a}^{2}$
Total Surface area
$= 6 {a}^{2}$
Now the edge becomes '2a'.
Therefore, volume
$= {(2a)}^{3} = 8 {a}^{3}$
Lateral Surface Area
$= 4 {(2a)}^{2} = 4 \times 4 {a}^{2} = 16 {a}^{2}$
Total Surface Area
$= 6 {(2a)}^{2} = 6 \times 4 {a}^{2} = 24 {a}^{2}$
You can see that volume becomes 8 times, and lateral and total Surface area become 4 times.