Question

if the length of each edge of a cube is doubled, how many times does it volume become ? how many time does it surface area become ?

Answer 1

Let, the length of cube = l unit

Then,

Volume of Cube = l^3 unit

Again,

When the length of each edge is doubled.

Then new length = 2l unit

New volume = (2l)^3 = 8 l^3 unit

Total Surface area of Volume = 6x Length^2

= 6 l^2 unit

New Total Surface area when length is doubled = 6 x (2l)^2 unit

= 24 l^2 unit

Lateral Surface area = 4 x length^2

New Lateral Surface area = 4 x (2l)^2

= 16 l^2 unit.

Hence,

New Volume when length is doubled = 8 l^3 unit.

And,

New Total Surface are when length is doubled = 24 l^2 unit

And,

New Lateral Surface area = 16l^2 unit

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