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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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

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

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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

Source: Beat The GMAT — Problem Solving | Wed May 05, 2021 3:20 pm

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

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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