Question

what will happen to the volume of a cube if the length of its edge is reduced to half? is the volume get reduced? if yes, how much?

Answer 1

Answer:

(1/8)th

Step-by-step explanation:

Let the original length of the edge be 'x'.

Original volume = x³.

Now,

It is given that length of its edge is reduced to half.

Length of edge = x/2.

New volume = (x/2)³

                     = x³/8.

                     = (1/8) * x³

                     = (1/8) * Original volume

Therefore, The volume would be the (1/8) th of the original volume.

Hope it helps!

Answer 2

Step-by-step explanation:

we know that:

volume of cube = a³

where, a is the side or length of edge of cube.

So, here

if the length of edges of cube is halved

= side of cube = a / 2

= volume = (a/2)³

= a³ / 2³

= a³ / 8