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Math Expert V
Joined: 02 Sep 2009
Posts: 58445
A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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Difficulty:   55% (hard)

Question Stats: 63% (02:26) correct 37% (02:18) wrong based on 113 sessions

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A rectangular shipping container has dimensions of 23 feet by 29 feet by 37 feet. What is the longest distance between any two corners of the container, rounded to the nearest foot?

A. 41
B. 43
C. 44
D. 47
E. 52

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Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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A rectangular shipping container has dimensions of 23 feet by 29 feet by 37 feet. What is the longest distance between any two corners of the container, rounded to the nearest foot?

A. 41
B. 43
C. 44
D. 47
E. 52

Length; l , breadth ; b, height ; h
Longest diagnoal formula ; sqrt (l2+b2+h2)

sqrt(23)^2+(29)^2+(37)^2

answer would be ~52 option E
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Joined: 31 May 2017
Posts: 1
Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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Formula for the longest diagonal in a solid is \sqrt{a^2+b^2+c^2}

In this case if we do the math for these 3 legs we get:
(23)^2 = 529
(29)^2 = 841
(37)^2 = 1,369

Adding these three together equals 2,739.

At this point we notice that of the 5 answer choices, only 1 of them (52) is above 2,500 (50^2 = 2,500)
Thus we can deduce that 52 must be the answer.
Manager  B
Joined: 29 Sep 2016
Posts: 113
Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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Archit3110 wrote:
A rectangular shipping container has dimensions of 23 feet by 29 feet by 37 feet. What is the longest distance between any two corners of the container, rounded to the nearest foot?

A. 41
B. 43
C. 44
D. 47
E. 52

Length; l , breadth ; b, height ; h
Longest diagnoal formula ; sqrt (l2+b2+h2)

sqrt(23)^2+(29)^2+(37)^2

answer would be ~52 option E

Bunuel,
isn't there a faster way to do this ? I don't think that GMAT expects us to do such lengthy calculations
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GMAT 1: 740 Q49 V42 GPA: 4
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Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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AKY13 wrote:
Archit3110 wrote:
A rectangular shipping container has dimensions of 23 feet by 29 feet by 37 feet. What is the longest distance between any two corners of the container, rounded to the nearest foot?

A. 41
B. 43
C. 44
D. 47
E. 52

Length; l , breadth ; b, height ; h
Longest diagnoal formula ; sqrt (l2+b2+h2)

sqrt(23)^2+(29)^2+(37)^2

answer would be ~52 option E

Bunuel,
isn't there a faster way to do this ? I don't think that GMAT expects us to do such lengthy calculations

Once you get to the 23^2+29^2+37^2 = 2739 [that's 3 multiplications and one addition], you can see that 2739 will definitely be greater than 50^2 (2500). There's only one such option, hence E.
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Joined: 29 Sep 2016
Posts: 113
Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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shaarang wrote:
AKY13 wrote:
Archit3110 wrote:
A rectangular shipping container has dimensions of 23 feet by 29 feet by 37 feet. What is the longest distance between any two corners of the container, rounded to the nearest foot?

A. 41
B. 43
C. 44
D. 47
E. 52

Length; l , breadth ; b, height ; h
Longest diagnoal formula ; sqrt (l2+b2+h2)

sqrt(23)^2+(29)^2+(37)^2

answer would be ~52 option E

Bunuel,
isn't there a faster way to do this ? I don't think that GMAT expects us to do such lengthy calculations

Once you get to the 23^2+29^2+37^2 = 2739 [that's 3 multiplications and one addition], you can see that 2739 will definitely be greater than 50^2 (2500). There's only one such option, hence E.

I too didn't struggle to find sqrt of 2739. It could be guessed easily.
Finding squares of 23, 39 & 37 takes some time.
Manager  B
Joined: 02 Oct 2018
Posts: 62
Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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Archit3110 wrote:
A rectangular shipping container has dimensions of 23 feet by 29 feet by 37 feet. What is the longest distance between any two corners of the container, rounded to the nearest foot?

A. 41
B. 43
C. 44
D. 47
E. 52

Length; l , breadth ; b, height ; h
Longest diagnoal formula ; sqrt (l2+b2+h2)

sqrt(23)^2+(29)^2+(37)^2

answer would be ~52 option E

Archit3110

Just out of curiosity,

for a cube, longest diagonal will be sqrt(a^2)?
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Joined: 18 Aug 2017
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Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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1
ParthSanghavi wrote:
Archit3110 wrote:
A rectangular shipping container has dimensions of 23 feet by 29 feet by 37 feet. What is the longest distance between any two corners of the container, rounded to the nearest foot?

A. 41
B. 43
C. 44
D. 47
E. 52

Length; l , breadth ; b, height ; h
Longest diagnoal formula ; sqrt (l2+b2+h2)

sqrt(23)^2+(29)^2+(37)^2

answer would be ~52 option E

Archit3110

Just out of curiosity,

for a cube, longest diagonal will be sqrt(a^2)?

ParthSanghavi

NO its not..

Longest diagonal formula is

for a cube all sides are same say 'a' so it would be (a sqrt3) Re: A rectangular shipping container has dimensions of 23 feet by 29 feet   [#permalink] 28 Nov 2018, 07:30
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