If kendra wants to increase the size of a box by extending the sides by half their original lengths how much will the volume increase?

Answer 1

The volume of a box is length*width*height. Let L=original length, w=original width, h=original height. Thus the volume of the new box is (L+1/2L)*(w+1/2w)*(h+1/2h)=

(3/2 L)*(3/2 w)*(3/2 h) = 27/8 Lwh, which is 27/8 times the original size.