SOLUTION: How do you begin solving a problem like this -- 1. A room measures 20' by 30' by 9' (length x width x height). 2. How many boxes measuring 18 inches x 24 inches by 12 inches will

Algebra ->  Formulas -> SOLUTION: How do you begin solving a problem like this -- 1. A room measures 20' by 30' by 9' (length x width x height). 2. How many boxes measuring 18 inches x 24 inches by 12 inches will      Log On


   

Question 155446: How do you begin solving a problem like this --
1. A room measures 20' by 30' by 9' (length x width x height).
2. How many boxes measuring 18 inches x 24 inches by 12 inches will fit in the room?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1) First find the volume of the entire room


Volume = Length * Width * Height ... Start with the given volume formula


Volume = 20 * 30 * 9 ... Plug in the given length, width, and height


Volume = 600 * 9 ... Multiply 20 and 30 to get 600


Volume = 5400 ... Multiply 600 and 9 to get 5,400


So the volume of the entire room is 5,400 cubic feet.

2)

First note that 18 inches = 1%261%2F2 ft (which is 1.5 in decimal form), 12 inches = 1 foot, and 24 inches = 2 feet.

Now find the volume of each individual box (this will follow the same procedure used above, but with different numbers)


Volume = Length * Width * Height ... Start with the given volume formula

Volume = 1.5 * 2 * 1 ... Plug in the given dimensions (in feet)


Volume = 3 * 1 ... Multiply 1.5 and 2 to get 3


Volume = 3 ... Multiply 3 and 1 to get 3


So the volume of one box is 3 cubic feet


3)

Now divide the volume of the entire room by the volume of one box to get the number of boxes that can be fit in the room.


5400%2F3=1800


So this means that 1,800 boxes can fit in the room.