For square or rectangular surfaces:
\[ S = \frac{L \times W \times D}{27} \]
For circular or elliptical surfaces:
\[ S = \frac{\pi \times \left(\frac{L}{2}\right)^2 \times D}{27} \]
Where:
To consider the waste factor, we add the selected percentage to the total:
\[ S_T = S + \left(S \times \frac{\text{Waste Factor}}{100}\right) \]
To convert the volume to weight in tons, multiply by 1.5:
\[ \text{Weight (tons)} = S_T \times 1.5 \]
The volume of mulch or stone required is calculated based on the shape of the area (square/rectangle or circle/ellipse), the dimensions, and the depth. The waste factor is added to account for any extra material needed. The volume is then converted to weight in tons.
Let's assume the following values for a rectangular area:
Using the formula:
\[ S = \frac{10 \times 5 \times 2}{27} = 3.7037 \text{ cubic yards} \]
Adding the waste factor:
\[ S_T = 3.7037 + \left(3.7037 \times \frac{10}{100}\right) = 4.07407 \text{ cubic yards} \]
Converting to weight in tons:
\[ \text{Weight (tons)} = 4.07407 \times 1.5 = 6.1111 \text{ tons} \]
The weight is approximately 6.1111 tons.
| Stone Material | Tons per Cubic Yard |
|---|---|
| Crushed Stone 1/4" - 2" | 1.4 - 1.7 |
| Crushed Stone 2" - 6" | 1.5 - 1.7 |
| Cobblestones 4" - 8" | 1.3 - 1.6 |
| Rip Rap 6" - 9" | 1.7 - 2 |
| Lava Rock 3/8" - 2" | 0.65 - 0.9 |
| Boulders | 1 - 1.5 |
