SOLUTION: termaties eat wood at a rate fo 1 minutes per block of 3" long 3" wiide and 3" high How long would it take them to eat a block of 6" long 6" wide and 6" high at same rate.. explain

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: termaties eat wood at a rate fo 1 minutes per block of 3" long 3" wiide and 3" high How long would it take them to eat a block of 6" long 6" wide and 6" high at same rate.. explain      Log On


   

Question 155276: termaties eat wood at a rate fo 1 minutes per block of 3" long 3" wiide and 3" high How long would it take them to eat a block of 6" long 6" wide and 6" high at same rate.. explain
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
From the problem given, the Rate equals time%2Fvolume:
1minute%2F%28Length%2AWidth%2AHeight%29
1%2F%283%2A3%2A3%29=1minute%2F27in%5E3
Remember: Time=t to eat the 6"L x 6"W x 6" H block:
t%2F%286%2A6%2A6%29=t%2F%28216in%5E3%29
So we can equate the equations:
1%2F27in%5E3=t%2F%28216in%5E3%29, cross multiply
t%2A27in%5E3=216in%5E3%2A1min

t=8minutes
Remember: The rate is time per volume of block
Thank you,
Jojo