Originally Posted by

**-sr-** the problem i need help solving is the following if anyone would be nice to reply i appreciate it in advance.

i bought 18 yards of potting soil for $300.00 USD, it's a very large pile.

i would like to know how much the soil costs after i fill up the planters or pots as they are called, they come in various sizes such as (1 gallon, 3 gallons, 7, 15, and 25 gallons ) which are the sizes that i use for plants.

18 yds of soil= $300.00

1 gal size pot =$

3 gal size pot =$

7 gal size pot =$

15 gal size pot =$

25 gal size pot =$

is there a formula i can use to easily find out the price of soil in any size container?

Here is how you figure it, assuming that a yard of soil is actually a cubic yard (cubic foot to gallon conversion from Google calculator).

First you need to convert cubic yards to gallons:

1 cubic foot = 7.48051948 gallons

18 cubic yards = (486 cubic feet)(7.48 gallons per cubic foot) = 3635.53 gallons

Then you set up the formula to determine the cost in dollars, C(g), for a container of size 'g' gallons.

$\displaystyle C(g) = \frac{300g}{3635.53}$

so:

$\displaystyle C(1) \approx \$0.08 $

$\displaystyle C(3) \approx \$0.25 $

$\displaystyle C(7) \approx \$0.58 $

$\displaystyle C(15) \approx \$1.24 $

$\displaystyle C(25) \approx \$2.06 $

Hope that helps!