Geometry
posted by anon on .
How does the volume of a rectangular prism change if the width is reduced to 1/10 of its original size, the height is reduced to 1/4 of its original size, and the length is reduced to 2/3 of its original size?
A. V=1/120lwh
B. V=1/60lwh
C. V= 2/3lwh
D. V=3/4lwh

Is it B?

V = L w H
new V = (2/3)L * (1/10) w * (1/4) H
= (2/120) LwH = (1/60) LwH 
Yes

original dimensions: l, w, h
volume = lwh
new length  2l/3
new width  w/10
new height = h/4
new volume + (2l/3)(h/4)(w/10)
= 2 lwh/120
= lwh/60 or (1/60)lwh
so , yes, it is B