SOLUTION: You want to put a 5 inch thick layer of topsoil for a new 22 ft by 27 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store onl

Algebra ->  Conversion and Units of Measurement -> SOLUTION: You want to put a 5 inch thick layer of topsoil for a new 22 ft by 27 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store onl      Log On


   



Question 1150362: You want to put a 5 inch thick layer of topsoil for a new 22 ft by 27 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
cubic yards

Answer by MathsterChief (3) About Me  (Show Source):
You can put this solution on YOUR website!
Lets first make sure all units are consistent. For the purposes of this problem, let's work with Feet.
Thickness = 5 inches = 5/12ft
Area = 22ftx27ft = +594+ft%5E2
Therefore volume of dirt needed to fill the yard is Area x Thickness = 247.5ft%5E3
We can calculate the volume of dirt in each "order" by converting to ft
1/4 cubic yards = (1 yard = 3 feet) >> +%28%283%29%5E3%29%2F4 = +6.75ft%5E3
To find how many bags of orders we need we divide (total volume needed) by (volume of dirt in each order)
Solving gives 247.5%2F6.75+=+36.67 So we will round to the next whole number and will need 37 orders of dirt.