The formula is quite complicated.
Let S stand for the amount of sand or dirt needed.
Let H stand for the height of dirt you piled up when you dug the hole
Let O stand for the outer circumference of the hole. There is no inner one.
Let V stand for velocity of dirt flying
Let E stand for the constant e which has nothing to do with this at all
Let L stand for last since that is the last variable in the formula.
Now multiply all these variables together and you have the formula to fill a hole. I have done the multiplication for you below.
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1 yard of dirt = 1.45 tons of dirt The above is a function guideline, but it really depends on the type of dirt in question, and how wet that dirt is. For baseball dirt I like to use 1 yard = 1.3 tons
Break the object into parts that a block or a cylinder has. For example, if you are finding the volume of a doughnut, you will measure the surface of it and subtract the measurements of the hole.
You use the PRI formula
u dont use a formula
the use of maths in a garden is like how much dirt you need to plant the flowers