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Construction Dilemma

Math brain teasers require computations to solve.

 

Puzzle ID:#21741
Fun:** (1.96)
Difficulty:*** (2.96)
Category:Math
Submitted By:Sane*****
Corrected By:MarcM1098

 

 

 



Mr. Math, or Sane, was hired by Nortel to design the dimensions for their building. He decided to make the building an open cylindrical area inscribed in a perfect cube.

But a tragic incident caused Sane to become sick and not be able to communicate! The only dimension that he had written down was for the corner office, 16 by 8 meters (which extends to the edge of the open area).

The construction workers can not start over now, as they've already begun building. But if they want to finish the Nortel building in time, they will need to know the final dimension of the perfect cube and cylinder! Can anyone here help them?

Alternate: If the construction workers became ambitious and decided to make all the offices out of solid wood, approximately how much would it cost them at $10 per m^3?

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Comments

-chica-
Mar 24, 2005

uh..way to complicated...my brain doesnt work that well..
Sane**
Mar 24, 2005

If anyone wants me to take out the altenate, just ask.
Gizzer*
Mar 24, 2005

Figuring out the dimensions is relatively easy, but the alternate question is confusing. Making offices, to me, means building walls, but you can't answer that with the information provided. The alternate question is actually asking for the volume of the office space.
Sane**
Mar 24, 2005

No, it's not making offices. It's "turning all the offices to solid wood". In other words, the total area of the cube, subtract the open area in the middle.
bigSWAFF_69_Aus*
Mar 25, 2005

DUH THIS WUZ SOOOOOOOOOO EASY U JUST HAV TO ADD THE SQUARE RADIOUS X PIE = THE LATERAL SIDE OF THE CYLENDER..........FROM THERE U JUST DO SIMPLE MATH ...................................................................................................................................................................................................................................................................o, and ya i dont hav ne clue how to figure it out
lilmamie69*
Apr 03, 2005

This was easy saying that we just went over this in class and its one of the few things that I am good at.
brttygrl24
Apr 05, 2005

whoa!!!! There is no way i could figure this out.....it's sssssoooooooooooooooooooo hard!!!!!
shandela**
May 02, 2005

This is more like a math problem from one of those math competition tests I took in high school. those tests where you get better credit for not even answering the question than for answering it wrong. i would have skipped this question.
achnid*us*
Nov 22, 2005

I'm not a mathmatition but I know a decent amouint. I also know buildings.
Now for this offic there is nothing to state that it is bisected by the open area just that it extends to it. Now wit that have been stated it would touch partway down on the circle not the top or side so to speak.
with it like this you would have a bigger area to deal with. more like the circle pluss say 8ft past that at least. Now as far as the building is concerned 8ft isnt that much 6inch walls = -1 foot each side so you end up with a room thats 7ft by 15ft long ehough but fairly narrow.Any desk will come halfway accross the room.
structurally speaking it could be built but It wouldn't be able to be used for much.
lessthanjake789*us*
Aug 26, 2006

I am sorry, and I guess this is why I am not an architect, but I am having trouble visualizing this structure. The way I am conceptualizing it is, at first, 2D, looking at it from above, seeing a square with a circle inscribed in it. in the small space between circle and square corner, i have a rectangle office measuring 16x8 - is that ANYwhere on cue? If not, please explain where I went terrible wrong, how to fix it, and then maybe I can approach the problem correctly and see how "hard" it really is.
rachayl*
Sep 13, 2006

I ended up with some quadratic eqn using sines and cosines, which actually made the numbers a bit more manageable somehow. Good fun! I got it!
Jimbo*au*
Jun 02, 2013

Not enough detail in question. What is the office extends to open area? In which direction? The author tries to explain in the comments about the area of the cube? I think a blueprint is needed to convey these dimensions, not a vague description.



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