Posted by **anon** on Monday, February 17, 2014 at 8:35pm.

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

- Geometry -
**anon**, Monday, February 17, 2014 at 8:36pm
Is it B?

- Geometry -
**Damon**, Monday, February 17, 2014 at 8:44pm
V = L w H

new V = (2/3)L * (1/10) w * (1/4) H

= (2/120) LwH = (1/60) LwH

- Geometry -
**Damon**, Monday, February 17, 2014 at 8:44pm
Yes

- Geometry -
**Reiny**, Monday, February 17, 2014 at 8:44pm
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

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