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A rectangular shipping container has dimensions of 23 feet by 29 feet

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

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New post 30 Oct 2018, 02:29
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  55% (hard)

Question Stats:

62% (01:48) correct 38% (01:44) wrong based on 106 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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New post 30 Oct 2018, 02:35
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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Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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New post 02 Nov 2018, 15:28
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.
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Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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New post 26 Nov 2018, 16:39
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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Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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New post 27 Nov 2018, 05:24
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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Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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New post 27 Nov 2018, 16:19
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.
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Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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New post 28 Nov 2018, 06:23
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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Re: A rectangular shipping container has dimensions of 23 feet by 29 feet  [#permalink]

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New post 28 Nov 2018, 06:30
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
sqrt ( Length^2+breadth^2+height^2)

for a cube all sides are same say 'a' so it would be (a sqrt3)
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Re: A rectangular shipping container has dimensions of 23 feet by 29 feet &nbs [#permalink] 28 Nov 2018, 06:30
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