SOLUTION: what is the longest flagpole (in while feet) that could be shipped in a box that measures 2 ft by 2 ft by 12 ft?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: what is the longest flagpole (in while feet) that could be shipped in a box that measures 2 ft by 2 ft by 12 ft?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 902511: what is the longest flagpole (in while feet) that could be shipped in a box that measures 2 ft by 2 ft by 12 ft?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Consider a pole running from one corner to the farthest corner of a box.
In 3D space the start of the pole would be at (0,0,0).
The endpoint would be at (12,2,2).
Use the distance formula,

D%5E2=%2812-0%29%5E2%2B%282-0%29%5E2%2B%282-0%29%5E2
D%5E2=144%2B4%2B4
D%5E2=152
D=2sqrt%2838%29