Gravel Base Calculator

Quick answer

A gravel base calculator estimates how many tons of crushed stone or sand a compacted base needs. It multiplies length by width by depth, divides by 27 for cubic yards, then applies a compacted density and waste. A 20 by 20 foot patio base 4 inches deep in crushed granite or limestone is about 8.64 tons with 10 percent waste.

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Concrete and Cement
ft
Length of the base area in feet. If your plans carry the base past the slab or paver edge, measure to the edge of the base.
ft
Width of the base area in feet.
in
Finished depth of the base after compaction, in inches. Take it from your plans, engineer or supplier.
Sets the compacted and loose weights per cubic yard, from the Michigan LTAP highway maintenance tables. Choose Custom density to use your supplier figure.
lb/cu yd
Optional. Used only when Material is Custom density. Enter the compacted weight per cubic yard from your supplier. The loose volume is not shown for a custom material.
%
Extra for spillage and grading at the edges. The default is 10 percent; adjust it to suit your site.

Gravel needed

—
Compacted volume—
Loose volume to haul—
Base area—
Pounds per square yard—
Compacted cubic feet—

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How to Use the Gravel Base Calculator

  1. Enter the length and width of the base area in feet.
  2. Enter the compacted depth in inches, the finished depth after the base is compacted.
  3. Pick the material, or choose Custom density and type in the compacted weight per cubic yard from your supplier.
  4. Set a waste allowance for spillage and grading, then read the tons and the loose cubic yards.

Here is what each result line means:

ResultWhat it means
Gravel neededThe weight of base material in short tons, including waste. Use it when your supplier sells by the ton.
Compacted volumeThe volume the base occupies once it is compacted, in cubic yards, including waste.
Loose volume to haulThe same weight measured loose, as it sits in a pile or a truck bed. It is larger than the compacted volume. Not shown for a custom density.
Base areaLength times width in square feet.
Pounds per square yardHow much material each square yard of base holds at your depth, the figure the source table is built on.
Compacted cubic feetThe net compacted volume in cubic feet, before any waste is added.

What Is a Gravel Base Calculator?

A gravel base calculator turns the size of a patio, driveway, walkway or pad into the amount of crushed stone or sand to order for the layer underneath it. You give it the area and the compacted depth, and it returns a weight in tons and a volume in cubic yards.

The tricky part with aggregate is that the same weight of stone takes up different amounts of room depending on how tightly it is packed. A base is specified by its compacted depth, but stone arrives loose. This tool works from the compacted weight per cubic yard, so the tons it gives fill your depth once the base is compacted, and it also shows the larger loose volume you will see in the truck or the pile.

A base sits under many kinds of flatwork. For the concrete on top of a garage slab, the garage floor calculator sizes the pour; for a spa slab, the hot tub pad calculator does the same. Interlocking pavers also sit on a compacted aggregate base, as the ICPI construction tolerance guide shows.

How the Gravel Base Calculator Works

Compacted volume (cubic yards)
V = LWD1227

The base is a flat block of material, so its volume is length times width times depth. Because the depth is in inches and the plan area is in feet, the tool divides by 12 to get cubic feet, then by 27 to get cubic yards.

Gravel needed (short tons)
tons = Vdc2000(1 + w)

To turn volume into an ordering weight, the compacted cubic yards are multiplied by the compacted weight per cubic yard for the material you choose and divided by 2,000 pounds per short ton. The waste allowance is added last.

Loose volume to haul (cubic yards)
Vloose = tons2000dloose
Pounds per square yard
lb per sq yd = D36dc
  1. Multiply length by width for the base area in square feet.
  2. Multiply by the compacted depth in inches and divide by 12 for cubic feet, then by 27 for cubic yards.
  3. Multiply by the compacted density and divide by 2,000 for tons, then add the waste allowance.
  4. Divide the total weight by the loose density for the loose cubic yards to haul.
  5. Separately, depth divided by 36 times the compacted density gives pounds per square yard, the way the source table is laid out.

The same arithmetic works for concrete. If you want the weight of the slab that will sit on this base, the concrete weight calculator gives it.

Gravel Base Example

Suppose a 20 by 20 foot patio gets a base of crushed granite or limestone compacted to 4 inches, with the default 10 percent allowance. The tool uses 3,180 pounds per compacted cubic yard and 2,500 pounds per loose cubic yard for that material.

Worked example: 20 x 20 ft patio base, 4 in, crushed granite or limestone
tons = 4.9383,18020001.10 = 8.64

Calculation: the area is 20 x 20 = 400 sq ft. At 4 inches deep, 400 x 4 / 12 = 133.33 cu ft, and 133.33 / 27 = 4.938 cu yd compacted. Multiplied by 3,180 pounds that is about 15,704 pounds, or 7.85 tons. Adding 10 percent gives 8.64 tons.

The compacted volume with waste is 4.938 x 1.10 = 5.43 cu yd. Measured loose, the same 8.64 tons is 8.64 x 2,000 / 2,500 = 6.91 cu yd, which is the amount of room it takes in the truck or the pile.

As a cross-check, the pounds per square yard are 4 / 36 x 3,180 = 353.3 lb. The patio is 400 / 9 = 44.44 square yards, and 44.44 x 353.3 is again about 15,704 pounds before waste, the same answer by the table route.

The lesson: a modest patio base is already more than eight tons, and the loose yardage is noticeably larger than the compacted yardage, so order by weight and plan the delivery for the loose volume.

Gravel Base Weights per Cubic Yard by Material

The Michigan LTAP highway maintenance tables, hosted by MoDOT, list several weights for each material in both a compacted and a loose state. The last column shows the pair of values this tool uses for each material.

MaterialCompacted (lb per cu yd)Loose (lb per cu yd)Used here (compacted / loose)
Crushed granite or limestone3,060 / 3,180 / 3,3002,410 / 2,500 / 2,5903,180 / 2,500
Crushed trap rock3,300 / 3,420 / 3,5402,590 / 2,690 / 2,7803,420 / 2,690
Sand2,830 / 2,950 / 3,060 / 3,1802,630 / 2,740 / 2,850 / 2,9602,950 / 2,740

Because the source gives a range rather than one figure, the weight of the product you actually buy can sit anywhere across it, or outside it. If your supplier quotes a compacted density for their material, choose Custom density and enter it.

Factors That Change How Much Gravel You Need

Area

Tonnage rises in step with the area. Doubling the length or the width doubles the material, so measure the full footprint of the base, not just the slab or pavers on top if the plan carries the base further.

Compacted Depth

Depth multiplies the whole area. Going from 4 to 6 inches adds half as much material again, which on a driveway-sized area can be several tons. The depth comes from your plans, engineer or supplier, not from this tool.

Material and Density

Heavier stone weighs more per cubic yard. With the values used here, a compacted cubic yard of trap rock is 3,420 pounds against 3,180 for granite or limestone and 2,950 for sand, so the same base in trap rock needs more tons.

Compaction

Loose material packs down when it is compacted. The loose volume needed to reach your compacted depth is larger than the depth alone suggests, which matters for truck space and stockpiles.

Waste and Grading

Spillage, material pushed past the edges and small low spots in the subgrade all use extra. The waste allowance covers that; set it to suit your site.

Compacted vs Loose Gravel

Compacting a base squeezes air out of it but does not change its weight. The same tons simply occupy less room, which is why the loose volume to haul is always larger than the compacted volume in this tool.

MeasureCompactedLoose
What it describesMaterial in place after compactionMaterial as it sits in a pile or truck bed
Granite or limestone, used here3,180 lb per cu yd2,500 lb per cu yd
Trap rock, used here3,420 lb per cu yd2,690 lb per cu yd
Sand, used here2,950 lb per cu yd2,740 lb per cu yd
Best used forSizing the base to the depth on the planTruck space, stockpile size and barrow loads

Since the weight is the same both ways, loose cubic yards = compacted cubic yards x compacted density / loose density. For granite or limestone that ratio is 3,180 / 2,500 = 1.272, so the loose volume is about 27 percent more than the compacted volume. Trap rock is almost the same at 3,420 / 2,690 = 1.271. Sand changes much less, at 2,950 / 2,740 = 1.077, or about 8 percent. In the patio example, 5.43 compacted cubic yards x 1.272 = 6.91 loose cubic yards.

When to Use a Gravel Base Calculator

Ordering a Base for a Patio or Walkway

Size the stone under a concrete patio, a paver patio or a path before you call the supplier, so one delivery covers the job.

Building Up a Driveway

A driveway base covers a large area, so the tons climb quickly. The tool shows the tons and the loose yardage, which are the figures to discuss with the supplier when you plan the delivery.

Preparing a Shed or Equipment Pad

A small pad under a shed, a hot tub or an equipment slab is quick to size before you order, and the presets include a 12 by 10 foot shed pad to start from.

Comparing Materials

Switch between granite or limestone, trap rock and sand to see how the tonnage moves for the same area and depth.

Checking a Quote

If a contractor or supplier quotes a tonnage, enter the area and depth to see whether the figure is in the right range for the material named.

Common Mistakes When Ordering a Gravel Base

1. Ordering Compacted Yards as If They Were Loose

A base depth is a compacted depth. Ordering the compacted cubic yards by volume, as loose material, leaves you short once the base is compacted. Order by weight, or use the loose volume.

2. Measuring Depth Before Compaction

Raking out 4 inches of loose stone does not give a 4 inch base. Enter the finished, compacted depth the plan calls for.

3. Assuming Every Stone Weighs the Same

Trap rock, granite or limestone and sand all weigh different amounts per cubic yard. Pick the matching material, or enter the supplier density.

4. Skipping the Waste Allowance

Material spills off the edges and fills low spots in the subgrade. Running short means a second delivery, so keep an allowance.

5. Treating the Estimate as a Base Design

This tool does not choose the depth, the gradation or the compaction method. Those come from your plans, an engineer, the supplier or the product maker.

Accuracy and Limitations

The arithmetic is exact for a rectangular area at an even depth; the usefulness depends on the depth and density you use.

What it calculates accurately

  • Base area, compacted cubic feet and compacted cubic yards
  • Tons from the compacted density and a waste allowance
  • Loose cubic yards from the loose density for the same weight
  • Pounds per square yard, as laid out in the source table

What it does not account for

  • The real density of your supplier product, unless you enter it
  • Irregular shapes, unless broken into rectangles
  • Uneven subgrade, slopes and varying depths
  • Base design, gradation, compaction, drainage, delivery and price

How We Calculate Your Gravel Base

Method
Length times width for the area; times depth in inches divided by 12 for cubic feet; divided by 27 for cubic yards; times the compacted density divided by 2,000 for tons; then a waste multiplier. Loose cubic yards are the total weight divided by the loose density.
Inputs used
Area length and width, compacted depth, material or custom compacted density, and waste percentage.
Densities
Compacted / loose, lb per cubic yard: granite or limestone 3,180 / 2,500; trap rock 3,420 / 2,690; sand 2,950 / 2,740 (Michigan LTAP highway maintenance tables, hosted by MoDOT).
Conversions
1 cubic yard = 27 cubic feet; 1 foot = 12 inches; 1 yard = 36 inches; 1 short ton = 2,000 lb.
Pounds per square yard
Depth in inches times 1 yard / 36 inches times the compacted density, the formula behind the source table.
Rounding
Tons, cubic yards and cubic feet to two decimals; area and pounds per square yard to one decimal.
Edge cases
A blank length, width or depth returns a prompt; zero or negative values are blocked; a blank or negative waste is treated as zero; Custom density needs a positive figure and shows no loose volume.
Sources
See the Sources list below.
Last reviewed
2026-10-18.

Frequently Asked Questions About the Gravel Base Calculator

How do I calculate how much gravel I need for a base?

Multiply the length by the width in feet, then by the compacted depth in inches, and divide by 12 for cubic feet and by 27 for cubic yards. Multiply by the compacted weight per cubic yard and divide by 2,000 for tons, then add a waste allowance.

How many tons of gravel for a 20 by 20 patio base?

At 4 inches compacted in crushed granite or limestone, a 20 by 20 foot base is about 7.85 tons net, or 8.64 tons with a 10 percent allowance, using 3,180 pounds per compacted cubic yard. A deeper base or heavier stone needs more.

How much does a cubic yard of gravel weigh?

It depends on the stone and how tightly it is packed. The Michigan LTAP tables list compacted crushed granite or limestone at 3,060 to 3,300 pounds per cubic yard and loose at 2,410 to 2,590. Compacted trap rock runs heavier, at 3,300 to 3,540, and compacted sand ranges from 2,830 to 3,180.

Why is the loose volume bigger than the compacted volume?

Compaction squeezes air out without changing the weight, so the same tons take less room once compacted. For granite or limestone with the values used here, the loose volume is about 27 percent more than the compacted volume.

How deep should a gravel base be?

This tool does not set the depth. Base depth depends on the load, the soil and the surface on top, and it should come from your plans, an engineer, the supplier or the product maker. Enter that depth here to size the order.

What is pounds per square yard used for?

It is how much base material each square yard holds at your depth, the way the source highway tables are laid out. Multiply it by the area in square yards for the total weight, or use it to check a spread rate.

Can I use my supplier density instead?

Yes. Choose Custom density and enter the compacted weight per cubic yard your supplier gives for the product. The tonnage then follows that figure. The loose volume is hidden because the tool has no loose density for a custom material.

Does the calculator work for sand?

Yes. Pick Sand to use 2,950 pounds per compacted cubic yard and 2,740 loose. Sand changes volume much less than crushed stone between loose and compacted, about 8 percent with these values.

What waste allowance should I use?

The default is 10 percent for spillage and grading at the edges. It is a starting point rather than a rule, so raise it for an uneven subgrade or a tricky site, or lower it if your supplier advises.

Do pavers need a gravel base?

Interlocking pavers sit on a compacted aggregate base, as the ICPI construction tolerance guide shows. The thickness of that base and the layers above it come from your plans, the paver maker or ICPI guidance.

Is my data saved?

No. The calculation runs entirely in your browser and nothing you enter is stored or sent anywhere.

Sources

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This calculator is for general planning and estimating only and is not engineering advice. Base depth, material, gradation and compaction come from your plans, engineer or supplier, not from this tool, which estimates the weight and volume of base material for the area and depth you describe. Aggregate weights vary by product, so the supplier density and the delivered weight tickets govern. Spotted an error? Let us know.