Cant figure this one out!!

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LMK27: Senior | Next Rank: 100 Posts; Posts: 51; Joined: Fri Apr 04, 2008 9:35 am

by LMK27 » Sun Jan 31, 2010 6:58 pm

A rectangular wooden crate has inside dimensions of 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

I am having the hardest time figuring out why the answer is what it is...can anyone shed some light? PLEASE

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Source: Beat The GMAT — Problem Solving | Sun Jan 31, 2010 6:58 pm

sars72: Master | Next Rank: 500 Posts; Posts: 241; Joined: Wed Jan 27, 2010 10:10 pmFollowed by: 2 members; Location: Chennai; Thanked: 23 times; GMAT Score:690

by sars72 » Sun Jan 31, 2010 7:19 pm

the longest straight line within a cuboid is it's diagonal. Since the diameter of the rod is negligible, it'll suffice if we calculate the length of the diagonal

--> root(3^2 + 4^2 + 12^2)

--> root(9+16+144) = root(169) = 13

Therefore, C is the answer

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LMK27: Senior | Next Rank: 100 Posts; Posts: 51; Joined: Fri Apr 04, 2008 9:35 am

by LMK27 » Sun Jan 31, 2010 7:30 pm

Thanks, thats the right answer. I wouldnt have known to get the sw root of the l w & h...thanks!

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