SOLUTION: Each side of a cube is 50 cm long. What is the length of the longest metal rod that will fit into this box? Explain how you found your answer

Algebra ->  Pythagorean-theorem -> SOLUTION: Each side of a cube is 50 cm long. What is the length of the longest metal rod that will fit into this box? Explain how you found your answer      Log On


   

Question 842841: Each side of a cube is 50 cm long. What is the length of the longest metal rod that will fit into this box? Explain how you found your answer
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The largest rod would fit from corner to corner.
Calculate the diagonal of a face.
D%5E2=S%5E2%2BS%5E2=2S%5E2
This diagonal and another side length form the legs of the right triangle where the hypotenuse is the corner to corner distance.
H%5E2=D%5E2%2BS%5E2=3S%5E2
H%5E2=3%2850%29%5E2
H=50%2Asqrt%283%29