Calculate Cubic Yards of Fill: Formula & Guide

This calculator works out the volume of fill material (soil, gravel, sand, or concrete) needed to cover an area or fill a space, in cubic yards. You enter the length, width, and depth (in feet or meters), and it returns the volume in cubic yards and cubic meters. The result tells you how much material to order for a project like a raised garden bed, a paver base, or a small retaining wall backfill.

Formula

The formula for cubic yards is:

Cubic Yards = (Length × Width × Depth) / 27

Where:

• Length and Width are in feet (ft)
• Depth is in feet (ft) – if you measure in inches, divide by 12 first
• 27 is the number of cubic feet in one cubic yard (3 ft × 3 ft × 3 ft)

If you work in metric, the equivalent is: Cubic Meters = Length (m) × Width (m) × Depth (m). One cubic yard equals 0.7646 cubic meters.

Worked Example

Using the default values from the calculator (10 ft length, 5 ft width, 6 in depth):

1. Convert depth to feet: 6 in ÷ 12 = 0.5 ft
2. Calculate volume in cubic feet: 10 ft × 5 ft × 0.5 ft = 25 ft³
3. Convert to cubic yards: 25 ft³ ÷ 27 = 0.93 yd³

The calculator shows 0.93 cubic yards, which rounds to 0.93. For a real project, you would order at least 1 cubic yard to account for compaction and waste.

Why Measure in Cubic Yards?

Cubic yards are the standard unit for bulk materials in the US and Canada. When you order topsoil, gravel, or mulch from a landscape supply company, they quote prices per cubic yard. A cubic yard is roughly the size of a small washing machine – 3 feet long, 3 feet wide, and 3 feet high. Understanding this helps you visualize how much material you’re actually getting and avoids over- or under-ordering.

How to Measure Your Project Area

Accurate measurements are the key to getting the right amount of fill. Here’s how to measure common shapes:

• Rectangle or square: Measure length and width at the widest points, in feet.
• Circle: Measure the diameter (distance across the center). The area is Ï€ × (diameter/2)². Then multiply by depth.
• Irregular shape: Break it into rectangles and triangles, calculate each area, and add them together.
• Sloped ground: Use the average depth – measure at the shallow end and deep end, then average them.

Always measure in the same unit. If you measure length in feet, keep width and depth in feet too. If you measure in inches, convert everything to feet before using the formula.

Common Mistakes and How to Avoid Them

One of the most frequent errors is mixing units. For example, measuring length in feet but depth in inches without converting. Another is forgetting that a cubic yard is 27 cubic feet, not 3. Some people mistakenly divide by 3, which gives a result that’s 9 times too large. Also, remember that fill material compacts – when you spread and tamp soil or gravel, it settles. The volume you order should be about 10–15% more than the calculated volume to account for compaction and spillage.

When to Use This Calculator

This calculator is useful for any project that requires filling a volume:

• Garden beds and raised planters
• Paver bases (for patios and walkways)
• Backfilling a foundation or retaining wall
• Leveling a yard or filling a depression
• Gravel for a driveway or path

For each project, you’ll need to know the dimensions of the void or the area you want to cover. For a paver base, you’ll typically need 4–6 inches of gravel, then 1–2 inches of sand. For a raised bed, you’ll measure the interior dimensions and the desired soil depth.

How to Order Fill Material

Once you have the cubic yardage, you can contact a supplier. Most sell in whole or half cubic yards, so round up to the nearest half yard. If you’re ordering from a big-box store, they sell bags of soil or gravel in cubic feet (usually 0.5 or 1 cu ft). To convert cubic yards to bags: multiply by 27 to get cubic feet, then divide by the bag size. For example, 1 cubic yard = 27 cubic feet, so you’d need 27 bags of 1 cu ft, or 54 bags of 0.5 cu ft.

Cost and Delivery Considerations

The price of fill material varies widely by region and type. Topsoil is generally cheaper than gravel or sand. Delivery fees may apply, and some suppliers have a minimum order (often 1–2 cubic yards). To estimate cost, multiply the cubic yardage by the price per yard from a local supplier. For a small project, buying bags might be more practical, even if the per-unit cost is higher. Always ask about delivery costs and whether the material is sold by the loose cubic yard or compacted.

Safety and Environmental Notes

When working with fill material, wear a dust mask if the material is dry and dusty, and gloves to protect your hands. If you’re filling a deep hole (more than 4 feet), be cautious about cave-ins – use proper shoring or a trench box. Also, be aware that some fill may contain contaminants; for gardens, use certified topsoil. Never use fill that contains construction debris, chemicals, or invasive weed seeds. Keep children and pets away from the work area.

Frequently Asked Questions

How many cubic feet are in a cubic yard?

There are 27 cubic feet in one cubic yard. This is because a yard is 3 feet, and 3 × 3 × 3 = 27. To convert cubic feet to cubic yards, divide by 27.

Do I need to add extra for compaction?

Yes, most fill materials compact by 10–20% when tamped or rolled. For soil and gravel, add 10–15% to your calculated volume. For sand, add about 10%. If you’re unsure, ask your supplier for the specific compaction factor.

What if my area isn’t a perfect rectangle?

Break the area into smaller rectangles, triangles, or circles. Calculate the volume for each shape and add them together. For a triangle, the area is (base × height) / 2. For a circle, use πr². Then multiply by the depth.

How do I convert cubic yards to tons?

The weight of a cubic yard depends on the material. Topsoil weighs about 1.1 tons per cubic yard, sand about 1.4 tons, and gravel about 1.3 tons. Multiply the cubic yards by the density to get tons. For example, 2 cubic yards of topsoil ≈ 2 × 1.1 = 2.2 tons.

Can I use this calculator for concrete?

Yes, but concrete is usually ordered by the cubic yard from a ready-mix company. The formula is the same. However, concrete is measured in place, so you don’t need to add extra for compaction – it doesn’t compact. Just order the exact volume, plus a small allowance for spillage.

What depth should I use for a paver base?

For a typical patio or walkway, a gravel base of 4–6 inches is common, followed by 1 inch of sand. For driveways, you might need 8–12 inches of gravel. Check local building codes for specific requirements, as they can vary by region and soil type.

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in length | Length | ft | 10 | 0
in width | Width | ft | 5 | 0
in depth | Depth | in | 6 | 0
out cubic_yards | Cubic Yards of Fill | yd³ | (length * width * (depth / 12)) / 27 | 2
out cubic_meters | Cubic Meters | m³ | (length * 0.3048) * (width * 0.3048) * (depth * 0.0254) | 2