Question 12

If the edge of a cube is halved, then its volume reduces to ......... times the actual volume.

Solution

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 

so,when the edge length is halved then the volume of cube become 1/8 of the volume before.

Hence option 'C' is correct.


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