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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters. What is the length, in meters, of the longest,

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by BTGmoderatorDC » Wed May 05, 2021 3:20 pm

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A

B

C

D

E

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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters. What is the length, in meters, of the longest, straight, inflexible rod of negligible diameter that can be placed completely within the crate?

A. 12
B. 12.6
C. 13
D. 19
E. 24


OA C

Source: Princeton Review
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Re: A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters. What is the length, in meters, of the longes

by swerve » Wed May 05, 2021 6:22 pm
BTGmoderatorDC wrote: ↑
Wed May 05, 2021 3:20 pm
 A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters. What is the length, in meters, of the longest, straight, inflexible rod of negligible diameter that can be placed completely within the crate?

A. 12
B. 12.6
C. 13
D. 19
E. 24


OA C

Source: Princeton Review
You can use the formula for the diagonal of a cube, which is
\(\sqrt{l^2+w^2+h^2} \quad \Longrightarrow \quad \sqrt{12^2+4^2+3^2} = 13 \)

Therefore, C
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