Question

If each edge of a cube is doubled

a) How many times will its surface area increase?
b) How many times will its volume increase?

Answer 1

Answer:

a) The surface area increases by 400 times.

b) The volume increases by 800 times.

Step-by-step explanation:

Let Length of each side of cube be x units

Surface area = 6x² units

Surface area = 6x² unitsVolume = x³ units

Now,

each side is doubled,

therefore, each side measures = 2x units

So,

Surface area = 6 (2x)² = 24x² units

a) How many times will its surface area increase?

=> 24/6 × 100 = 400 times

Volume = (2x)³ = 8x³ units

b) How many times will its volume increase?

=> 8/1 × 100 = 800 times

Thanks !!