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

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Manager
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Joined: 19 Apr 2013
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Concentration: Entrepreneurship, Finance
Schools: Yale '16, ISB '15, NUS
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The dimensions of a rectangular box (length = 20 inches, hei [#permalink] New post 09 Aug 2014, 08:18
00:00
A
B
C
D
E

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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Last edited by Bunuel on 12 Aug 2014, 08:11, edited 1 time in total.
Renamed the topic and edited the question.
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Re: The dimensions of a rectangular box (length = 20 inches, hei [#permalink] New post 09 Aug 2014, 09:21
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This post received
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

The correct answer is B.
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Re: The dimensions of a rectangular box (length = 20 inches, hei [#permalink] New post 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

Answer = B
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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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