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# A rectangular box with volume 240 is altered by decreasing the length

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Joined: 02 Sep 2009
Posts: 52906
A rectangular box with volume 240 is altered by decreasing the length  [#permalink]

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07 Sep 2018, 00:40
00:00

Difficulty:

35% (medium)

Question Stats:

63% (01:23) correct 37% (01:40) wrong based on 21 sessions

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A rectangular box with volume 240 is altered by decreasing the length by 50%, decreasing width by 100/3%, and increasing the depth by 100%. What is the volume of the resulting solid?

A. 80
B. 160
C. 240
D. 360
E. 480

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Re: A rectangular box with volume 240 is altered by decreasing the length  [#permalink]

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07 Sep 2018, 01:50
Bunuel wrote:
A rectangular box with volume 240 is altered by decreasing the length by 50%, decreasing width by 100/3%, and increasing the depth by 100%. What is the volume of the resulting solid?

A. 80
B. 160
C. 240
D. 360
E. 480

lbh = 240

new length = l/2
new width = (2/3)b
new depth = 2h

new volume = (l/2)*(2b/3)*(2h) = (2/3)lbh = (2/3)*240 = 160

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Re: A rectangular box with volume 240 is altered by decreasing the length  [#permalink]

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07 Sep 2018, 10:00
Let the original volume be 100%
Volume after decrease in length = 50%
" after dec in width = 33.33%
" after inc in depth = 66.66%
The new vol = 66.66% of 240 = 2/3 of 240 = 160
Re: A rectangular box with volume 240 is altered by decreasing the length   [#permalink] 07 Sep 2018, 10:00
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