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# The dimensions of a rectangular box (length = 20 inches, hei

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Manager
Joined: 19 Apr 2013
Posts: 73
Concentration: Entrepreneurship, Finance
Schools: Yale '16, ISB '15, NUS
GMAT Date: 04-30-2014
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WE: Programming (Computer Software)
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Kudos [?]: 38 [0], given: 7

The dimensions of a rectangular box (length = 20 inches, hei [#permalink]  09 Aug 2014, 08:18
00:00

Difficulty:

35% (medium)

Question Stats:

63% (02:44) correct 37% (02:13) wrong based on 19 sessions
The dimensions of a rectangular box (length = 20 inches, height = 2 inches, breadth = 8 inches) that is to be completely wrapped with paper. If a single sheet of paper is to be used without patching, then the dimensions of the paper could be

(A) 17 in by 25 in
(B) 21 in by 24 in
(C) 24 in by 12 in
(D) 24 in by 14 in
(E) 26 in by 14 in
[Reveal] Spoiler: OA

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AB

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Last edited by Bunuel on 12 Aug 2014, 08:11, edited 1 time in total.
Renamed the topic and edited the question.
Manager
Joined: 20 Apr 2012
Posts: 89
Location: Ukraine
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Kudos [?]: 108 [3] , given: 30

Re: The dimensions of a rectangular box (length = 20 inches, hei [#permalink]  09 Aug 2014, 09:21
3
KUDOS
Surface area of the box with dimensions a,b,c is S=2(ab+bc+ac)

Here we have S=2(20*2+2*8+20*8)=2*216=432. Now check the answers:
(A) 17*25=16*25+25=425 Less.
(B) 21*24=20*24+24=504 Good!
(C) 24*12 definitely less than A
(D) 24*14 less than A
(E) 26*14=25*14+14 less than A

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Director
Status: The Best Or Nothing
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Location: India
Concentration: General Management, Technology
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Kudos [?]: 235 [0], given: 167

Re: The dimensions of a rectangular box (length = 20 inches, hei [#permalink]  11 Aug 2014, 01:46
Total sides = 6

Total surface area = 2(20*2 + 2*8+8*20) = 2(40+16+160) = 2 * 216 = 432

Only 21 * 24 = 504 fits in

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Re: The dimensions of a rectangular box (length = 20 inches, hei   [#permalink] 11 Aug 2014, 01:46
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