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The figure above shows the dimensions of a rectangular box that is to [#permalink]
17 Nov 2005, 00:02

00:00

A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

47% (03:24) correct
53% (00:53) wrong based on 16 sessions

Attachment:

Untitled.png [ 1.11 KiB | Viewed 268 times ]

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 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

Re: The figure above shows the dimensions of a rectangular box that is to [#permalink]
17 Nov 2005, 17:55

1

This post received KUDOS

joemama142000 wrote:

himilaya im not sure how you came to the same conclusion. Can you explain more in depthly.? thanks

area doesnot tell you all you need. you cannot slelect B because its area is 504, which is greater than 432. an area with 504 can have the following dimensions as under:

2x252
4x126
8x63
21x24
28x18
36x14
42x12
or so on....

all the dimensions have area 504 but only a paper sheet with 21x24 can cover the box. if we take any paper sheet other than 21x24 dimensions, we have to cut it and patch the piece. so only dimension 21x24 works for the purpose of rapping the whole box.

the 20x20 is derrived from adding the height and width. if we surfaced the box, its dimension becomes 20x20.

Re: The figure above shows the dimensions of a rectangular box that is to [#permalink]
19 Nov 2005, 05:45

HIMALAYA wrote:

joemama142000 wrote:

himilaya im not sure how you came to the same conclusion. Can you explain more in depthly.? thanks

area doesnot tell you all you need. you cannot slelect B because its area is 504, which is greater than 432. an area with 504 can have the following dimensions as under:

2x252 4x126 8x63 21x24 28x18 36x14 42x12 or so on....

all the dimensions have area 504 but only a paper sheet with 21x24 can cover the box. if we take any paper sheet other than 21x24 dimensions, we have to cut it and patch the piece. so only dimension 21x24 works for the purpose of rapping the whole box.

the 20x20 is derrived from adding the height and width. if we surfaced the box, its dimension becomes 20x20.

hope it is clear........

Himalaya> As crazy as this may sound, what if we very carefully snake wrapped that 2X252 inch long skinny piece all the way around the box 10 times with a slight fold on each end to cover each exposed section of the box. Definately a "jimmy rigged" wrap job, but theoretically possible because 252/20= 12.6; enough for 10 full wraps and 1 on each end (folded over) to cover the entire box. Granted you would need a lot of tape!

Re: The dimensions of a rectangular box (length = 20 inches, hei [#permalink]
09 Aug 2014, 09:21

3

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. _________________

I'm happy, if I make math for you slightly clearer And yes, I like kudos:)

Re: The figure above shows the dimensions of a rectangular box that is to [#permalink]
11 Oct 2014, 06:49

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Re: The figure above shows the dimensions of a rectangular box that is to [#permalink]
11 Oct 2014, 09:00

Above two images show three ways to cover the rectangular ways. We can easily see that option B (21 X 24) covers the second method with (20 X 24). hence B.

Attachments

File comment: Wrapping the rectangular box with paper

Slide2.JPG [ 14.97 KiB | Viewed 245 times ]

File comment: Wrapping the rectangular box with paper

Slide1.JPG [ 32.78 KiB | Viewed 246 times ]

_________________

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Re: The figure above shows the dimensions of a rectangular box that is to
[#permalink]
11 Oct 2014, 09:00

I couldn’t help myself but stay impressed. young leader who can now basically speak Chinese and handle things alone (I’m Korean Canadian by the way, so...