The construction crew for a new store will dig a hole in the
shape of a rectangular prism for the store's foundation. The hole
will be 18 yd long, 15 yd wide, and 4 yd deep. To haul away all of
the dirt from the hole, a dump truck will take trips to a nearby
landfill. The crew knows the amount of dirt the truck can hold each
trip in cubic feet.
(a) Find the volume of dirt that will be hauled away in cubic
feet. Use the table of conversion facts, as needed.
(b) Each trip, the truck can haul away 295 ft^3 of dirt. To save
gas, the crew wants to take as few trips as necessary to haul all
of the dirt away. Since all of the dirt needs to be hauled away,
the crew might have to take a partial load for one trip. How many
trips are needed to haul away all of the dirt? Count each trip it
makes the same, even if the truck isn't full.
(c)If it costs $1125 for each trip that the truck makes, how
much will it cost to haul away all the dirt?