You are about to begin work on a swimming pool in your yard. The first step is to have a hole dug that is 60 feet long, 27 feet wide, and 6 feet deep. You will use a truck that can carry 30 cubic yards of dirt and charges $\$ 30$ per load. How much will it cost you to have all the dirt hauled away?
The cost is $\$$
Answer
\(\boxed{360}\) dollars is the cost to have all the dirt hauled away.
Step 1 ：Convert the dimensions of the hole from feet to yards. There are 3 feet in a yard. So, the dimensions of the hole in yards are: Length = \(\frac{60}{3} = 20\) yards, Width = \(\frac{27}{3} = 9\) yards, Depth = \(\frac{6}{3} = 2\) yards.
Step 2 ：Calculate the volume of the hole. The volume of the hole is length x width x depth = \(20 \times 9 \times 2 = 360\) cubic yards.
Step 3 ：Calculate how many truckloads are needed to haul away all the dirt. The truck can carry 30 cubic yards per load, so the number of loads is \(\frac{360}{30} = 12\) loads.
Step 4 ：Calculate the total cost. The truck charges $30 per load, so the total cost is \(12 \times 30 = 360\) dollars.
Step 5 ：\(\boxed{360}\) dollars is the cost to have all the dirt hauled away.
