SOLUTION: what is the length of the longest pole you could put in a rectangular storage room 12 units long, 9 units wide, and 8 units high? Explain.

Algebra ->  Volume -> SOLUTION: what is the length of the longest pole you could put in a rectangular storage room 12 units long, 9 units wide, and 8 units high? Explain.      Log On


   

Question 882671: what is the length of the longest pole you could put in a rectangular storage room 12 units long, 9 units wide, and 8 units high? Explain.
Found 2 solutions by Fombitz, richwmiller:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming that one end of the room was completely open.
Put one end of the pole in the left bottom corner of where you walk in.
The other end of the pole would be in the right top corner of the opposite wall.
You can use the Pythagorean theorem.
First find the diagonal length of the floor.
D%5E2=12%5E2%2B9%5E2
D%5E2=144%2B81
D%5E2=225
Now use that length and the height of the room to calculate the longest pole.
L%5E2=D%5E2%2BH%5E2
L%5E2=225%2B8%5E2
L%5E2=225%2B64
L%5E2=289
L=17 units long

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Depends where the entrance is located and the size of the entrance!
It is like moving furniture. The furniture might fit in the room but you have to get it through the door first!