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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
The measurements obtained for the interior dimensions of a rectangular
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26 Nov 2021, 05:12
26 Nov 2021, 05:12
Expert Reply
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Question Stats:
83% (02:05) correct
16% (01:41) wrong based on 6 sessions
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The measurements obtained for the interior dimensions of a rectangular box are 200 cm by 200 cm by 300cm. If each of the three measurements has an error of at most 1 centimeter, which of the following is the closest maximum possible difference, in cubic centimeters, between the actual capacity of the box and the capacity computed using these measurements?
A. 100,000
B. 120,000
C. 160,000
D. 200,000
E. 320,000
A. 100,000
B. 120,000
C. 160,000
D. 200,000
E. 320,000
Re: The measurements obtained for the interior dimensions of a rectangular
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26 Nov 2021, 06:01
26 Nov 2021, 06:01
Expert Reply
Changing the length by 1 cm results in change of the volume by 1*200*300 = 60,000 cubic centimeters;
Changing the width by 1 cm results in change of the volume by 200*1*300 = 60,000 cubic centimeters;
Changing the height by 1 cm results in change of the volume by 200*200*1 = 40,000 cubic centimeters.
So, approximate maximum possible difference is 60,000 + 60,000 + 40,000 = 160,000 cubic centimeters.
Answer: C.
Changing the width by 1 cm results in change of the volume by 200*1*300 = 60,000 cubic centimeters;
Changing the height by 1 cm results in change of the volume by 200*200*1 = 40,000 cubic centimeters.
So, approximate maximum possible difference is 60,000 + 60,000 + 40,000 = 160,000 cubic centimeters.
Answer: C.
gmatclubot
Re: The measurements obtained for the interior dimensions of a rectangular [#permalink]
26 Nov 2021, 06:01
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