An excavation crew digs a rectangular hole in the ground measuring 110 yd x 50 y

Question

An excavation crew digs a rectangular hole in the ground measuring 110 yd x 50 yd x 15 yd (length x width x depth) to hold the basement for a new office building that is under construction. Five identical dump trucks, each with a measured capacity of 20 yd^3, are used to haul the debris away. Assume all the trucks are filled to their full capacity, and all the trucks take the same number of trips. How many trips must each truck make to remove all the material? Note: Consider carefully the uncertainty in the measured values. Determine both the best and worst case possibilities.

Explanation / Answer

Total volume = 110 * 50 * 15

V = 82500 yard^3

5 identical trucks each have capacity of 20 yard^3

So, in each trip, 5 * 20 = 100 yard^3 is transported

Number of trips = (Total volume) / (volume in each trip)

N =82500 / 100 = 825 trips

So, each truck must go 825 trips

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