Question

dirt must be evacuated for the foundation of the building 30 yards by 15 yards to a depth of 3 yards. How many trips will it take to haul the dirt away if a truck with the capacity of 3 cubic yard is use

Answer 1

First we should find the total volume of the dirt that must be evacuated:

`30yd*15yd*3yd=1350yd^(3)`

Then we are told that the truck's capacity is 3 cubic yards. So then we must divide this total amount of dirt that must be evacuated and divide by 3 (the hauling capacity of the truck):

`(1350yd^(3))/(3yd^(3))=450`

So now we know that it will take 450 trips to complete the dirt evacuation.