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

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) (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 = 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.

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

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