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Question 475320: 1. Trailers that travel on the road behind trucks are rectangular prisms. A typical height for the inside of these trailer is 108 inches. If the trailer is 8 feet wide and 20 feet long, what is the volume of the trailer?
2. A jumbo hopper barge is basically a rectangular prism used to transport bulk items or the river systems of this country. It is 100 feet long, 30 feet wide, and 14 feet deep. They can only be loaded to a depth of 12 feet since there has to be some percentage of the barge above the water. How many trailers described in the previous problem would be needed to match the same volume of a jumbo hopper barge?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! The volume of a trailer is 108 inches * 8 feet * 20 feet.
Translate everything to the same unit so the calculations can be done easily.
The height of the trailer is 108 inches which is equivalent to 108/12 = 9 feet.
The volume of the trailer is 9 * 8 * 20 = 1440 cubic feet.
The total volume of the jumbo hopper is 100 feet * 30 feet * 14 feet = 42000 cubic feet.
Not all of this can be used, however.
The usable volume of the jumbo hopper is 100 * 30 * 12 = 36000 cubic feet.
Divide 36000 by 1440 to get 36000/1440 = 25 trailer loads that can be placed into 1 jumbo hopper.
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