Branch banking and retail banking differ in scope: branch banking refers to the physical locations where customers conduct in-person transactions, while retail banking is the broader category of banking services offered to individual consumers, which includes branches, online platforms, and mobile apps. In short, a branch is a place, and retail banking is a business model. This article explains both concepts, how they overlap, and how they differ in operations, costs, and customer experience.
Formula
The calculator above computes the volume of topsoil, compost, or other material needed to cover a rectangular lawn to a given depth. The formula for cubic yards is:
Volume (yd³) = (Length (ft) × Width (ft) × Depth (in)) / 324
where 324 is the number of cubic inches in a cubic yard (36 × 36 × 36 = 46,656 in³, divided by 1,728 in³ per ft³ gives 27 ft³ per yd³, and 27 × 12 in/ft = 324). The second output gives the volume in cubic feet using the formula:
Volume (ft³) = (Length (ft) × Width (ft) × Depth (in)) / 12
This is because 12 inches equal one foot, so dividing by 12 converts the depth from inches to feet before multiplying by length and width.
Worked Example
Using the default values from the calculator: length = 40 ft, width = 25 ft, depth = 3 in.
- Convert depth to feet: 3 in ÷ 12 = 0.25 ft
- Compute volume in cubic feet: 40 ft × 25 ft × 0.25 ft = 250 ft³
- Convert to cubic yards: 250 ft³ ÷ 27 = 9.26 yd³ (rounded to 2 decimals)
The calculator’s first output shows 9.26 yd³, matching this step-by-step result. The second output shows 250 ft³, which is the volume before conversion.
When to Use This Calculator
Use this calculator when you need to order soil, mulch, gravel, or other bulk materials for a garden bed, lawn renovation, or construction project. It is also useful for estimating the amount of fill needed to raise a low area or create a berm. The result helps you compare prices from suppliers who quote per cubic yard or per cubic foot.
For irregular shapes, break the area into rectangles and calculate each separately, then add the volumes. For circular areas, use a different formula (π × radius² × depth) and convert to cubic yards by dividing by 27.
How to Read the Result
The primary result is the volume in cubic yards, which is the standard unit for bulk orders in the US. Most suppliers sell soil and mulch by the cubic yard. The secondary result in cubic feet is useful when comparing products sold by the bag, where bag sizes are often listed in cubic feet (e.g., 2 ft³ per bag). To find the number of bags, divide the total cubic feet by the bag volume and round up to the nearest whole bag.
For example, if you need 250 ft³ and buy 2 ft³ bags, you would need 125 bags. Since you cannot buy a fraction of a bag, always round up.
Common Mistakes
- Mixing units: Ensure length and width are in feet and depth is in inches. The calculator handles the conversion, but if you input depth in feet, the result will be wrong.
- Forgetting to round up: When ordering bulk material, you cannot order 9.26 cubic yards exactly; you will need to order 10 cubic yards to have enough, unless the supplier allows partial yards.
- Ignoring compaction: Some materials, like topsoil, settle after spreading. You may need to order 10–20% extra to achieve the desired final depth.
- Assuming all suppliers use the same unit: Some suppliers quote in cubic feet, others in cubic yards. Always check the unit before comparing prices.
Limitations of the Formula
This formula assumes a perfectly rectangular area with a uniform depth. Real lawns often have curves, slopes, or varying depths. For slopes, the volume calculation becomes more complex because the depth changes across the area. In such cases, it is better to divide the area into smaller sections and calculate each separately, then sum them.
The formula also does not account for waste due to spillage or uneven spreading. It is wise to add 5–10% to the calculated volume to cover these losses.
Frequently Asked Questions
How many cubic feet are in a cubic yard?
There are 27 cubic feet in a cubic yard (3 feet × 3 feet × 3 feet). This is why the calculator divides the cubic feet result by 27 to get cubic yards.
Can I use this calculator for circular areas?
No, this calculator only works for rectangles. For a circle, use the formula: Volume (yd³) = (π × radius² (ft) × depth (in)) / 324. For example, a circular bed with a 10 ft radius and 3 in depth would need (3.1416 × 100 × 3) / 324 = 2.91 yd³.
Should I order extra material?
Yes, it is common to add 5–10% extra to account for settling, spillage, and uneven spreading. For topsoil, settling can reduce the depth by up to 20% over time, so you may want to order more if the final depth is critical.
What if my depth is in feet instead of inches?
If your depth is in feet, simply multiply length × width × depth (all in feet) and divide by 27 to get cubic yards. Do not use the 324 factor in that case.
How do I convert the result to tons?
The weight of a cubic yard of material varies. For example, dry topsoil weighs about 2,000–2,500 pounds per cubic yard, while gravel can weigh 2,800–3,000 pounds. Multiply the cubic yards by the density (in pounds per cubic yard) and divide by 2,000 to get tons.