SOLUTION: A pencil box, in the shape of a rectangular prism, measures 16 cm by 12 cm by 8 cm. Find the length of the longest pencil that would fit inside a box.

Algebra ->  Pythagorean-theorem -> SOLUTION: A pencil box, in the shape of a rectangular prism, measures 16 cm by 12 cm by 8 cm. Find the length of the longest pencil that would fit inside a box.      Log On


   



Question 1005646: A pencil box, in the shape of a rectangular prism, measures 16 cm by 12 cm by 8 cm. Find the length of the longest pencil that would fit inside a box.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal distance from the lower front left corner to the upper back right corner is what you want...
d^2 = a^2 + b^2 + c^2
d^2 = 16^2 + 12^2 + 8^2
d^2 = 256 + 144 + 64
d^2 = 464
d = 21.54 cm