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

Respuesta :

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

[tex] 30yd*15yd*3yd=1350yd^{3} [/tex]

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):

[tex] \frac{1350yd^{3}}{3yd^{3}}=450 [/tex]

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