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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?

### Hint

Formulate an equation where the hypotenuse of the two squared unknown distances will equal the radius of the building.
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