Problema Solution

You work for a waste removal company. The trailer of one of your dump trucks is 10 feet wide, 15 feet long, and 6.5 feet high. If a ton of debris equals 200 cubic feet, how many trucks are needed to cart away 45 tons of debris from a demolition site?

Answer provided by our tutors

First we will find the volume of the dump truck:


V = 10*15*6.5


V = 975 ft^3


1 ton = 200 ft^3


45 tons = 45*200 ft^3


45 tons = 9,000 ft^3


Let x represent the number of trucks needed to carry away 45 tones of debris:


975*x = 9000

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x = 9.23 trucks


Since x is an integer we conclude that there are 10 trucks needed to carry away 45 tones of debris.