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
5 answers
Is it B?
V = L w H
new V = (2/3)L * (1/10) w * (1/4) H
= (2/120) LwH = (1/60) LwH
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
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
Find the volume of the square pyramid. Round your answer to the nearest hundredth.