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As an example, let's use 500 square feet to be mulched at a
3" depth.
First, the depth must be converted to feet. To convert inches to feet, simply divide inches by 12, the number of inches in a foot.
So for our example: 3 inches divided by 12 equals a 0.25 foot depth.
Now that we have the depth in feet, we can multiply the depth by the area.
So for our example: 0.25 foot depth times 500 square feet equals 125 cubic feet.
If you are calculating 0.5, 2, or 3, cubic foot bags, simply divide 125 cubic feet by the size of the bag.
So for our example: if we are using 2 cubic foot bags, we can divide 125 cubic feet by 2 which equals 62.5 bags.
If you are calculating cubic yards, we need to convert 125 cubic feet to cubic yards by dividing by 27. One cubic yard is equal to 27 cubic feet, see the diagram below.
So for our example: 125 cubic feet divided by 27 equals 4.63 cubic yards.
There are several ways to do this.
We can choose either inches or feet as our base.
Let's do the case in inches.
Let's say the measurements are 5'2" by 2'4".
Step 1 - Convert everything into inches, so multiply the feet by 12 and add the inches. 5'2" becomes 5x12+2 = 62". Similarly, with 2'4" 2x12+4 = 28".
Step 2 - Calculate the area in square inches. 62" x 28" = 1736 square inches.
Step 3 - Convert square inches into square feet by dividing the number of square inches by 144 (12" x 12"). I get 12.06 square feet.
Let do the case in feet using the same measurements.
Step 1 - convert everything into feet. Since there are 12" in a foot, divide the inches by 12 and add to the feet. 5'2" becomes 5 + 2/12 = 5.16'. Similarly, 2'4" becomes 2 + 4/12 = 2.33'.
Step 2 - calculate the area in square feet. 5.16' x 2.33' = 12.02 square feet.
Step 3 - Convert the square feet to square inches by multiplying the answer in square feet by the number of square inches in a square foot (144). Imagine a square 12" by 12". 12.02 square feet x 144 = 1730 square inches.
Note that I have rounded my answers, thus, they are not equal. To avoid this, keep the answer in your calculator and round only at the end.
A box that is one foot by one foot by 1 foot is 12 inches by 12 inches by 12 inches and hence the volume is one cubic foot os 123 = 1728 cubic inches. Thus a two cubic foot box will contain 2 1728 = 3456 cubic inches.
Multiply 21 inches by 14 inches by 10 inches to get 2940 cubic inches. There are 12 inches in a foot, so there are 12^3=1728 cubic inches in a cubic foot. Divide 2940 cubic inches by 1728 cubic inches per cubic foot to get about 1.7 cubic feet.
Alternatively, first convert all measurements to feet. 21 inches is 1 3/4 feet, 14 inches is 1 1/6 feet, 10 inches is 5/6 feet. Multiply them together to get 245/144 cubic feet, which again is about 1.7 cubic feet.
It's always nice when doing a problem two different ways gives the same answer.
1728 = 3456 cubic inches.
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