A rectangular shipping container has dimensions of 23 feet by 29 feet by 37 feet. What is the longest distance between

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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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