Question

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

Answer 1

hiii!!!

here's ur answer...

let the edge of the cube be x.

therefore volume of the cube=side³

=x×x×x

=x³

if the edge of cube is doubled then then the length of the edge of new cube will be 2x.

volume of new cube=side³

=2x×2x×2x

=8x³

no. of times it's volume increased=8x³/x³

=8

hence, 8 times it volume increased.

TSA of the cube=6a²

=6×x²

=6x²

TSA of new cube=6a²

=6×2x²

=12x²

TSA increased=12x²/6x²

=2

hence, 2 times it's TSA increased.

hope this helps...