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# The figure above shows the dimensions of a rectangular box that is to

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Math Expert
Joined: 02 Sep 2009
Posts: 50580
The figure above shows the dimensions of a rectangular box that is to  [#permalink]

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06 Dec 2017, 22:02
00:00

Difficulty:

55% (hard)

Question Stats:

44% (02:00) correct 56% (02:15) wrong based on 39 sessions

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The figure above shows the dimensions of a rectangular box 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 inches by 25 inches
(B) 21 inches by 24 inches
(C) 24 inches by 12 inches
(D) 24 inches by 14 inches
(E) 26 inches by 14 inches

Attachment:

2017-12-07_0956.png [ 8.21 KiB | Viewed 647 times ]

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Re: The figure above shows the dimensions of a rectangular box that is to  [#permalink]

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07 Dec 2017, 05:56
Total surface area = 2(lb*bh*lh) = 432
The only option with area above 432 is E. No other dimensions can completely wrap the box.
So, option E
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Joined: 29 May 2012
Posts: 37
The figure above shows the dimensions of a rectangular box that is to  [#permalink]

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07 Dec 2017, 07:43
anudeep133 wrote:
Total surface area = 2(lb*bh*lh) = 432
The only option with area above 432 is E. No other dimensions can completely wrap the box.
So, option E

But option E only gives you 364. It's not above 432.

The only option with an area above 432 is B.

Appreciate if you could let me know if i get anything wrong.
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Joined: 13 Jun 2012
Posts: 200
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Re: The figure above shows the dimensions of a rectangular box that is to  [#permalink]

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07 Dec 2017, 08:23
Paulli1982 wrote:
anudeep133 wrote:
Total surface area = 2(lb*bh*lh) = 432
The only option with area above 432 is E. No other dimensions can completely wrap the box.
So, option E

But option E only gives you 364. It's not above 432.

The only option with an area above 432 is B.

Appreciate if you could let me know if i get anything wrong.

Yes I think its B too.
Math Expert
Joined: 02 Aug 2009
Posts: 7028
Re: The figure above shows the dimensions of a rectangular box that is to  [#permalink]

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07 Dec 2017, 08:46
Bunuel wrote:

The figure above shows the dimensions of a rectangular box 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 inches by 25 inches
(B) 21 inches by 24 inches
(C) 24 inches by 12 inches
(D) 24 inches by 14 inches
(E) 26 inches by 14 inches

Attachment:
2017-12-07_0956.png

Hi..

the choices here have not made it tricky, and that is why just by looking at the area you have got your answer inspite of missing on words WITHOUT PATCHING.

SAY I gave you a choice 30*15... so this gives you an area 450>432. would that be an answer...NO
the trick is to look at the dimensions and then visualize wrapping it..

few dimensions that could be the answer..
1) $$(20+2+2) * (2+8+2+8) = 24*20$$
2) $$( 8+2+2) * (2+20+2+20) = 12*44$$
there can be others too.
But our answer 24*21 is just bigger than 24*20

For above ways and other ways too think of opening the box as one paper
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Re: The figure above shows the dimensions of a rectangular box that is to  [#permalink]

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08 Dec 2017, 02:24
chetan2u wrote:
Bunuel wrote:

The figure above shows the dimensions of a rectangular box 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 inches by 25 inches
(B) 21 inches by 24 inches
(C) 24 inches by 12 inches
(D) 24 inches by 14 inches
(E) 26 inches by 14 inches

Attachment:
2017-12-07_0956.png

Hi..

the choices here have not made it tricky, and that is why just by looking at the area you have got your answer inspite of missing on words WITHOUT PATCHING.

SAY I gave you a choice 30*15... so this gives you an area 450>432. would that be an answer...NO
the trick is to look at the dimensions and then visualize wrapping it..

few dimensions that could be the answer..
1) $$(20+2+2) * (2+8+2+8) = 24*20$$
2) $$( 8+2+2) * (2+20+2+20) = 12*44$$
there can be others too.
But our answer 24*21 is just bigger than 24*20

For above ways and other ways too think of opening the box as one paper

Thanks for the hint. I'll try

The box when visualized to be one paper the dimension would be L *B = (8+2+2)*(20*2 +2+2) = 12* 44= 528.
However, this would include the overlap of paper on the corners. So exact area would be little less than 528. We have B = 504.
--B--

Is it right?
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Re: The figure above shows the dimensions of a rectangular box that is to &nbs [#permalink] 08 Dec 2017, 02:24
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