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YardMath

What Is a Cubic Yard? (And How to Visualize It)

A cubic yard equals 27 cubic feet (3 ft × 3 ft × 3 ft). It is the standard unit for ordering mulch, gravel, and concrete. Coverage table and conversion formula inside.

By The YardMath Estimating DeskUpdated October 7, 2026

A cubic yard is a volume equal to 3 feet × 3 feet × 3 feet = 27 cubic feet. Every landscaping and concrete supplier in the US uses it as the standard ordering unit for mulch, gravel, topsoil, sand, and ready-mix concrete. Knowing how to convert your project dimensions into cubic yards lets you order accurately without running short or overspending.

The Conversion Formula

Length (ft) × Width (ft) × Depth (ft) ÷ 27 = Cubic Yards

If your depth is in inches, divide it by 12 first to convert to feet:

Length (ft) × Width (ft) × (Depth in inches ÷ 12) ÷ 27

Or use the simplified shortcut: Length (ft) × Width (ft) × Depth (in) ÷ 324

The 324 constant comes from 12 inches/foot × 27 feet/yard.

Visual Reference Points

A cubic yard is roughly equivalent to:

Reference Approximate Volume
Large front-load washer ~1 yd³
Standard wheelbarrow × 7–9 loads ~1 yd³
13.5 bags of 2-cu-ft mulch/soil ~1 yd³
Full-size pickup bed (level full) ~1–2 yd³
Typical concrete truck payload ~8 yd³

Coverage: What Does 1 Cubic Yard Cover?

Depth Area Covered by 1 yd³
1 inch 324 sq ft
2 inches 162 sq ft
3 inches 108 sq ft
4 inches 81 sq ft
6 inches 54 sq ft
12 inches 27 sq ft

This table works for any material: mulch, gravel, topsoil, or sand.

Worked Examples

Example 1: Mulch for a 20×15 ft bed at 3 inches

  • 20 × 15 = 300 sq ft
  • 300 × 3 ÷ 324 = 2.78 cubic yards
  • Round up: order 3 cubic yards

Example 2: Topsoil for a new 50×30 ft lawn area at 4 inches

  • 50 × 30 = 1,500 sq ft
  • 1,500 × 4 ÷ 324 = 18.5 cubic yards
  • Add 10% for settling: 20.4 cubic yards

Example 3: Gravel for a 10×20 ft shed pad at 6 inches

  • 10 × 20 × 0.5 ÷ 27 = 3.7 cubic yards
  • Add 15% for compaction: 4.3 cubic yards

Cubic Yards vs. Other Units

Unit Cubic Feet Cubic Yards Common Use
1 cubic inch 0.00058 0.0000215 Small measurements
1 cubic foot 1 0.037 Small bags, concrete bags
1 cubic yard 27 1 Landscaping standard
1 cubic meter 35.3 1.31 Metric countries

Weight Per Cubic Yard by Material

Different materials weigh very differently per cubic yard. This matters when loading trucks or comparing delivery fees:

Material Weight per Cubic Yard
Dry mulch (shredded wood) 400–800 lbs
Wet mulch 800–1,200 lbs
Topsoil 2,000–2,700 lbs
Sand ~2,700 lbs
Pea gravel ~2,700 lbs
Crushed stone ~3,000 lbs
Concrete (wet) ~4,000 lbs

A standard pickup truck with a half-ton payload can carry 1–2 cubic yards of mulch or topsoil, but only about half a cubic yard of gravel before exceeding its payload limit. See how-much-does-a-yard-of-gravel-weigh for a full breakdown.

Using Calculators to Skip the Math

The mulch calculator, gravel calculator, topsoil calculator, and raised-bed-soil-calculator all accept square footage and depth and output cubic yards directly, along with bag counts and weight estimates. You do not need to do the unit conversions manually—but understanding what a cubic yard represents helps you verify that the output makes sense before you place an order.

Common Ordering Mistakes

Forgetting compaction factor. When you compact gravel or soil, it shrinks. Add 10–15% to computed volume for granular fill, and up to 20% for topsoil that will settle under watering.

Confusing cubic yards and square yards. A square yard is only a flat area (9 square feet); a cubic yard is volume. Suppliers always quote bulk materials in cubic yards (or tons), never square yards.

Ordering by weight when the quote is by volume (or vice versa). Ask your supplier which unit they use. Some sell mulch by the scoop (1–2 yd³), stone by the ton, and topsoil by the yard. Confirm before ordering.

Not accounting for irregular shapes. Break L-shaped or curved beds into rectangles, calculate each section separately, and add them together. For circular areas: Area = π × radius², then apply the depth formula.

Practical Ordering Guide

For most materials, order in these increments:

Volume Needed What to Order
Under 0.5 yd³ Bags from a hardware store (more convenient)
0.5–2 yd³ Self-haul from a landscape supply yard (1 scoop)
2–5 yd³ Bulk delivery (1 small truck load)
5+ yd³ Full truck delivery; negotiate price per yard

Bulk vs. Bagged: When Each Makes Sense

Bagged products cost significantly more per cubic yard than bulk, but they offer exact portioning, no minimum order, and no delivery charge.

Material Bulk price (typical) Bag cost per yd³ equivalent Threshold to switch to bulk
Mulch $25–$45/yd³ $80–$100 (2 cu ft bags at $6 each) Over 0.5 yd³
Topsoil $20–$40/yd³ $90–$120 (0.75 cu ft bags at $5 each) Over 0.75 yd³
Gravel $30–$60/yd³ $120–$160 (0.5 cu ft bags at $5 each) Over 0.5 yd³
Concrete sand $25–$40/yd³ $100–$130 (50 lb bags at $5 each) Over 0.5 yd³

Prices vary by region and supplier; compare your specific bag price against local bulk pricing. The math almost always favors bulk above 1 cubic yard for mulch and gravel. The exceptions are projects where you need pinpoint amounts with no room for excess, or where a delivery truck cannot access the site.

Calculating Circular and Irregular Areas

For circular features like a round garden bed or tree ring, calculate the area first:

Area = 3.14159 × radius²

Example: a circular bed 10 feet in diameter (5-foot radius):

  • Area = 3.14159 × 5² = 78.5 sq ft
  • At 3 inches deep: 78.5 × 3 ÷ 324 = 0.73 cubic yards

For L-shaped or irregular beds, split them into rectangles. Calculate each rectangle separately and sum the volumes. Overestimate slightly — most suppliers do not accept returns of bulk material.

For the exact volume of your project, use the calculator for your material type.

Frequently asked questions

How big is a cubic yard visually?+

Picture a cube that is 3 feet on every side—about the size of a large dishwasher or a standard washing machine. That cube holds 27 cubic feet, which covers 324 square feet at 1 inch deep.

How many wheelbarrow loads is a cubic yard?+

A standard contractor wheelbarrow holds 3–4 cubic feet. One cubic yard (27 cubic feet) takes 7–9 wheelbarrow loads to move. Expect about 5 minutes per load for loading, moving, and dumping.

How many 2-cubic-foot bags equal a cubic yard?+

13.5 bags of 2 cubic feet each equal one cubic yard. In practice, buy 14 bags to allow for slight overage.

Is a cubic yard the same as a yard?+

In landscaping and construction, 'a yard' almost always means a cubic yard (volume), not a linear yard (length) or a square yard (area). When a supplier quotes you per yard, they mean per cubic yard.

How heavy is a cubic yard of different materials?+

Weight varies dramatically: mulch weighs 400–800 lbs per yard, topsoil 2,000–2,700 lbs, sand 2,700 lbs, and crushed stone 2,700–3,000 lbs. Weight matters when loading trucks or estimating delivery limits.

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