Question

how will volume of cube change if the length of its edge is halved?

Answer 1

Volume of cube whose edge is halved :

Let x be the edge of the original cube
Volume of original cube = x³

If the edge is halved, length of edge = x/2

Volume of halved cube = (x/2)³ = x³/2³= x³/8 = 1/8 X x³

Therefore, the volume will be 1/8th of the original volume.

Answer 2

Let the edge be a
the half the edge will be a/2
volume of cube = a$a/8^{3}$
So the final cube will be 1/8 of the original cube