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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

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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

by M7MBA » Sun Jun 14, 2020 1:40 pm

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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

[spoiler]OA=E[/spoiler]

Source: Princeton Review
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Re: A rectangular shipping container has dimensions of 23 feet by 29 feet by 37 feet. What is the longest distance betwe

by Jay@ManhattanReview » Mon Jun 15, 2020 12:10 am
M7MBA wrote: ↑
Sun Jun 14, 2020 1:40 pm
 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

[spoiler]OA=E[/spoiler]

Source: Princeton Review
For a cuboid, the longest diagonal formula = sqrt(Length^2 + breadth^2 + height^2) = √(23^2 + 29^2 + 37^2) = √(529 + 841 + 1,369) = √2,739

Note that 40^2 = 1,600 and 50^2 = 2, 500

Since 2,739 > 2,500, the correct option must be E.

Correct answer: E

Hope this helps!

-Jay
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Re: A rectangular shipping container has dimensions of 23 feet by 29 feet by 37 feet. What is the longest distance betwe

by Scott@TargetTestPrep » Thu Jun 18, 2020 2:50 pm
M7MBA wrote: ↑
Sun Jun 14, 2020 1:40 pm
 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

[spoiler]OA=E[/spoiler]

Solution:

The longest distance between any two corners of the container is the space diagonal of the container which has the formula √(L^2 + W^2 + H^2), where L, W and H are the length, width and height of the container. Therefore, that distance is √(23^2 + 29^2 + 37^2) = √2739 ≈ 52.

Answer: E

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