Answer:
D. The volume will be 1/8 times the volume.
Step-by-step explanation:
We have been asked to find the affect on the volume of a pyramid if each side is multiplied by factor of 1/2.
Let x and y be the sides of base of pyramid and z be the height of original pyramid.


Now each side of our pyramid is multiplied by a factor of 1/2, so sides of new pyramid will be:
,
,

Let us substitute sides of new pyramid in volume formula to figure out volume of new pyramid.




We can see that volume of new pyramid is 1/8 times the volume of original pyramid, therefore, option D is the correct choice.