Finished depth in, loose yards and tons out

Limestone Calculator

Work out the tonnage of crushed limestone an area needs — with compaction allowed for, so the finished depth is the depth you actually get.

Measure the area, name the finished depth

Give the shape of the ground and how deep the stone should be once it is rolled. The tonnage is what you order; the loose volume is what turns up on the truck.

Job setup
Units

Typical finished depth 75–100 mm.

Rule applied: tons = area × finished depth × compacted density

Loose volume is the compacted volume plus the expansion the grade shows on the truck.

Finished, not tipped: enter the depth you want after rolling. Switch the basis below if you are measuring a loose pile instead.

Measurements

Ordering

Job as entered

36 m² at 100 mm finished · dense graded base ¾ in

How the limestone calculator works

A limestone calculator determines how much limestone you need for a project. Enter the area's length, width, and required depth to calculate limestone volume. Convert the volume to weight using the material's density. The required quantity varies by limestone type, compaction, project dimensions, and installation depth.

Everything else — cubic yards, bags, truck loads and cost — follows from that one weight figure. What separates a usable estimate from a short delivery is compaction. Crushed stone arrives loose and finishes dense, so the volume tipped on the ground is substantially larger than the layer it becomes. Working from the finished depth without allowing for that is the single most common way a driveway ends up an inch thin. This calculator reports the tonnage to order, the loose volume that will arrive, and the compacted volume it will become.

1. Measure the area

Rectangles, circles and rings all work. Awkward shapes split into pieces you can add up.

2. Choose the finished depth

The depth after rolling, set by what the surface has to carry rather than by what looks right.

3. Convert with the density

Compacted density gives the tonnage; the expansion factor gives the volume that turns up.

The formulas involved

Compacted volume

Vc = A × d

Area times the finished depth. For a ring, A = π(D² − d²) ÷ 4.

Tonnage to order

m = Vc × ρc × (1 + c/100)

Compacted density ρc, plus a percentage allowance for spread, settlement and edges.

Loose volume delivered

Vl = Vc × (1 + e/100)

The expansion factor e is what the same rock gains in bulk when it is not compacted.

Coverage per ton

A₁ = 1 ÷ (ρc × d)

How much ground one ton finishes at a given depth — the quickest sanity check there is.

Why weight and not volume: a ton is the same quantity of rock whether it is heaped on a truck or rolled into a driveway. A cubic yard is not. Quarry tickets, haulage rates and price lists are all written in tons for exactly that reason, and any estimate that ends in cubic yards has to be converted before it can be ordered.

Getting the area right

Measuring a driveway that isn't a rectangle

Area is where most estimates go wrong, not density. Real driveways flare at the road, bend around a corner, and widen where cars turn. The fix is always the same: cut the shape into pieces the calculator can handle, work each one out, and add the areas before you enter a single figure.

How to measure common driveway and patio shapes
Shape on the groundHow to measure itArea
Tapered or flared driveWidth at each end, plus the length between them(w₁ + w₂) ÷ 2 × L
L-shaped driveTwo rectangles — extend one fully and stop the other at its edgeA₁ + A₂
Curved or sweeping driveWalk a tape along the centre line, then the typical widthcentre-line length × width
Turning area or apronThe rectangle it sits on, plus the rounded corner as a quarter circleL × w + πr² ÷ 4
Genuinely irregularMeasure the width every few paces along the length and average themaverage width × L
Ring or path round a featureOuter and inner diameter — the calculator has a ring optionπ(D² − d²) ÷ 4
Don't count corners twice

When two rectangles meet, the overlap belongs to one of them. Sketch it and shade each piece once.

Measure the finished width

Stone spreads at unrestrained edges. Measure where the surface will end up, not where the old one has crept to.

A crown adds material

A surface crowned 4% is deeper down the middle. Enter the mean depth, or add roughly 10% for the extra.

Worked example: a drive 4 m wide at the house, flaring to 6 m at the road, over 18 m — that is (4 + 6) ÷ 2 × 18 = 90 m². Add a 3 m × 3 m parking spur and the total is 99 m². Enter 99 m² using the area I already measured option rather than guessing an average rectangle.

Choosing a grade

Clean stone or crusher run?

Price my load

The difference that matters is not the rock, it is the gradation. Dense graded material keeps every particle size from the nominal down to dust, which lets it lock up hard under a roller. Clean stone has the fines washed out, so water runs through it and it never really compacts. Pick the wrong one and the surface either stays loose or holds water.

Limestone grades with typical compacted density and loose expansion
GradeCompactedLoose expansionCompacts?Use it for
Dense graded base ¾ in1.83 t/yd³+40%Yes, hardDriveway surface and base, sub-base under slabs
Dense graded base 1¼ in1.89 t/yd³+43%Yes, hardDeeper base courses and heavier traffic
#57 clean stone1.35 t/yd³+8%BarelyFrench drains, drainage layers, pipe bedding
Screenings / dust1.70 t/yd³+30%YesLevelling course under pavers and flags
Rip rap, 3–6 in1.30 t/yd³NoneNoErosion control, swales, bank protection

Names vary by region: crusher run, DGA, dense graded base, road base, MOT Type 1 and Class II base are broadly the same idea. Ask the quarry for the gradation rather than the local nickname.

Density reference: the dense graded base figures come from measured data — Wisconsin DOT's Weight-Volume Relationships and Conversion Factors for Soils and Aggregates of Wisconsin (2023) puts compacted ¾ in base at 1.80–1.86 tons per cubic yard and 1¼ in at 1.79–1.98, with compacted-to-loose expansion of 34–52%.

Coverage table

How far one ton goes

Finished area covered by a single ton, at the compacted densities above. Read down to your depth to check a quote before you accept it.

Area covered per ton of limestone at common finished depths
Finished depthBase ¾ in — ft²/tonBase ¾ in — m²/tonne#57 — ft²/ton#57 — m²/tonne
50 mm (2 in)899.212012.5
75 mm (3 in)596.1808.3
100 mm (4 in)444.6606.2
150 mm (6 in)303.1404.2
200 mm (8 in)222.3303.1

The step estimates miss

Loose depth is not finished depth

Spread a 150 mm lift of crusher run, roll it properly, and you are left with something closer to 105 mm. Nothing has been lost — the voids between particles have closed. Every quantity on a delivery ticket refers to the loose state; every dimension on a drawing refers to the finished one.

Order against the tonnage

Weight does not change between loose and compacted, which is why it is the only figure worth putting on an order.

Spread in lifts

A roller only densifies what it can reach. Deep layers go down in lifts of roughly 100–150 mm, each compacted before the next.

Damp, not dry or wet

Dense graded stone reaches its density near optimum moisture. Bone dry material simply rearranges under the roller.

Clean stone is the exception: #57 and similar single-sized grades have no fines to fill the voids, so they barely densify. Compacting them is about seating the stones rather than reducing depth, and the expansion allowance is close to nothing.

Method reference: the Penn State Center for Dirt and Gravel Road Studies materials calculator takes the same approach — you specify either a compacted finished depth or a loose tailgated depth, and results come back as loose cubic yards together with as-shipped tons.

Before the stone arrives

What the ground underneath decides

Depth tables assume a subgrade that can hold the stone up. Where it cannot, extra tonnage is the expensive way to solve a problem that separation fabric solves cheaply.

Soft or wet subgrade

Stone pushed into mud is stone you never see again. Geotextile keeps the layers separate and the depth honest.

Shape it before you fill it

A crown of about 4% sheds water off the surface. Filling a flat, dished driveway with stone just relocates the puddle.

Edges need restraint

Without a kerb, timber or a cut edge, loose stone migrates outward and the middle thins every year.

Roads reference: the FHWA and South Dakota LTAP Gravel Roads Construction & Maintenance Guide recommends a crown near ½ inch per foot — about 4% — and never over 6%, and a minimum 6 inch first layer where geotextile is placed over a weak subgrade.

Layer by layer

How deep, and how many layers?

Run each layer

Almost nothing worth building is one layer of stone. A driveway is a coarse base carrying the load with a finer surface running over it, and the two use different grades at different densities. Working out a single combined depth and multiplying once gives the wrong weight — sometimes badly wrong, because a 1¼ in base and a screenings blinding differ by 30% per cubic yard.

Use the calculator once per layer. Same area, but the grade and finished depth change each time. Add the tonnages at the end — and order each grade separately, because they arrive on different trucks.

Typical layer build-ups for common limestone jobs
JobBottom layerTop layerTotal finished
New drive, firm ground100 mm (4 in) base 1¼ in75 mm (3 in) base ¾ in175 mm (7 in)
New drive, soft groundGeotextile, then 150 mm (6 in) base 1¼ in75 mm (3 in) base ¾ in225 mm (9 in)
Topping an existing driveExisting surface, raked and rolled50–75 mm (2–3 in) base ¾ in50–75 mm
Shed or slab sub-base100–150 mm (4–6 in) base ¾ in25–50 mm (1–2 in) screenings blinding125–200 mm
Paver or flag patio100 mm (4 in) base ¾ in25–40 mm (1–1½ in) screenings laying course125–140 mm
French drain100 mm (4 in) #57 under the pipe#57 all the way up, geotextile wrapped300 mm (12 in) +
Heavy-use farm area150 mm (6 in) minimum, or twice the largest stone75 mm (3 in) ¾ in minus225 mm (9 in) +

Lifts, not one deep dump

A roller only densifies what it can reach, so anything over about 150 mm goes down in lifts, each compacted before the next. NRCS puts the target at a CBR of 80, or roughly 125–135 lb per cubic foot, reached with three or four passes of a vibratory roller or crawler.

Coarse below, fine above

The larger stone carries the load and drains; the finer layer binds the surface and sheds water. Reversing them gives a drive that ruts under wheels and a base that never locks up. The one place fines are unwelcome is a drainage layer, which stays clean stone from top to bottom.

Thickness reference: the USDA NRCS Earth and Aggregate Surfacing Design Guide (TN 210-AEN-04, 2017) sets base course thickness as the greater of 6 inches or twice the D50 rock size, names ¾ inch minus as the standard crushed surfacing, and specifies compaction to CBR 80 or about 125–135 pcf.

Interesting fact

The most-moved rock on earth, at the price of gravel

Crushed stone is quietly the largest-volume mined commodity in the United States: an estimated 1.5 billion tons in 2025, worth $27 billion, from around 3,500 quarries. Roughly 70% of it is limestone and dolomite, and 72% of the total goes straight into construction aggregate, mostly roads. What makes the industry unusual is the economics — at an average of about $18.50 a metric ton, the rock is cheap enough that haulage distance dominates the delivered price. That is why quarries are scattered rather than concentrated, and why the sensible question when pricing a load is not which quarry is cheapest but which one is nearest.

Source: U.S. Geological Survey, Mineral Commodity Summaries 2026 — Stone (Crushed).

Buying it

Bags, bulk bags or a truck

Format changes the delivered price per ton far more than the grade does. Small bags cost several times bulk rate; a part load costs nearly as much to deliver as a full one.

What to settle before ordering

  • Tonnage, not cubic yards — and get it on the ticket
  • The gradation, not just the local name for it
  • Whether the truck can reach and tip where you need it
  • Haulage priced separately, and the minimum load

Rounding to a full load

If an estimate lands just over a truck's capacity, it is usually cheaper to trim the depth slightly than to pay for a second delivery of a few tons. The reverse is true too — where a job comes in a little under a full load, filling the truck often costs almost nothing per extra ton, and spare stone has a way of finding a use.

Worked example: a 40 × 10 ft driveway at 4 in finished, in ¾ in dense graded base · area 400 ft² · compacted volume 133.3 ft³ = 4.94 yd³ · at 1.83 t/yd³ that is 9.04 tons · plus 10% = 9.9 tons to order · arriving as roughly 6.9 loose cubic yards.

What it costs

Why the nearest quarry usually wins

Crushed stone is cheap and heavy, which makes it one of the few materials where the delivery costs more than the goods. Comparing quarries on their price per ton is therefore close to meaningless — the only number that decides anything is the price delivered to your gate.

How haul distance changes the delivered price of crushed stone
Haul distanceHaulage against the stone itselfWhat it means for the quote
Collected at the quarryNone — you supply the trailerThe cheapest stone there is, and rarely practical past a ton or two.
Under about 10 milesWell below the cost of the stoneThe ordinary case. Material price is worth shopping around on.
Around 25 milesRoughly equal to the cost of the stoneDelivered price is about double the quarry price. The tipping point.
Beyond 25 milesMore than the stone costsA nearer quarry with a worse headline price almost always wins.

Part loads pay full freight

A truck costs much the same to send whether it carries 8 tons or 20. Filling the last third of a load is often the cheapest stone you will ever buy.

A second trip is the expensive mistake

Coming up three tons short means paying a whole delivery to fix it. That is what the allowance percentage in the calculator is buying you.

Bagged is a convenience price

Small bags run to several times the bulk rate per ton. They earn it only where access, storage or a very small quantity rules a tipper out.

What to ask for on the phone: the price per ton delivered to the postcode, the minimum load, whether tax is included, what the grade is called in their gradation rather than in local slang, and whether a tipper can reach the spot. Enter the delivered per-ton figure in the calculator's price box and the total it returns is the real one.

Economics reference: the 25-mile rule comes from the USGS survey of the industry — William H. Langer's Natural Aggregates of the Conterminous United States (Bulletin 1594) states that once aggregate moves more than 25 miles by truck, transport equals or exceeds the quarry price, with truck rates far higher for the first mile than for each mile after it. The dollar rates in that bulletin are of its era; the ratio is what has held.

Common mistakes to avoid

Estimating from the finished depth alone. The tonnage is right, but the pile that arrives looks far bigger than the hole — and if you spread it to the finished depth first, you will be a third short.

Using one density for every grade. Clean #57 and crusher run differ by nearly 40% per cubic yard. A single generic figure gets one of them badly wrong.

Laying a layer thinner than the stone. A 50 mm layer of 40 mm rock is a single course of loose stones, not a surface. Depth should comfortably exceed the largest particle.

Ignoring the subgrade. Stone laid on soft ground disappears into it. That loss shows up as a driveway that needs topping up every spring.

Frequently Asked Questions

How do you calculate how much limestone you need for a project?

Multiply the length by the width to get the area, then multiply that area by the finished depth to get the compacted volume. Multiply the volume by the compacted density of the material and you have the weight to order. A dense graded ¾ inch base runs about 1.83 tons per cubic yard compacted, so a 40 by 10 foot driveway — 400 square feet — at 4 inches deep comes to 133 cubic feet, just under 5 cubic yards, or roughly 9 tons. Order by weight rather than by volume wherever you can: quarries and hauliers sell by the ton, and a ton is the same quantity of rock however loosely it happens to be piled on the truck. The calculator runs the same arithmetic for any project, including the awkward shapes a tape measure struggles with.

How many tons of crushed limestone are in a cubic yard?

Between about 1.3 and 1.9 tons, depending on the grade and on whether the stone is loose or compacted — or roughly 1.5 to 2.3 tonnes per cubic meter in metric. Wisconsin DOT testing puts compacted dense graded base at 1.80 to 1.86 tons per cubic yard for the ¾ inch size and 1.79 to 1.98 for the 1¼ inch size. The same aggregate loose on a truck occupies 34 to 52 percent more space, which works out near 1.3 tons per loose cubic yard. That gap is why a load that looked ample on delivery gives less coverage than expected once compaction has done its work.

How deep should a limestone driveway, patio or walkway be?

A residential driveway usually wants a base course 100 to 150 mm (4 to 6 inches) thick, with a 75 to 100 mm (3 to 4 inch) surface layer over it, laid in lifts and compacted rather than dumped in one go. A garden walkway needs far less, around 50 to 80 mm. A patio or paver sub-base is typically 100 mm of dense graded stone under a thin screenings laying course, and a shed foundation or slab sub-base wants 100 to 150 mm. Soft or wet subgrade needs more thickness, and a geotextile underneath — the FHWA gravel roads guide recommends a minimum 150 mm first layer where fabric is used over a weak subgrade. Depth is a landscaping decision driven by what the surface has to carry, not by what looks right in the trench.

Why does compaction mean you need more material than the finished depth suggests?

Because the stone arrives loose and finishes dense. Rolling a dense graded aggregate closes the voids between particles, so the layer loses roughly a quarter to a third of its thickness between tipping and finishing. Wisconsin DOT measured the expansion from compacted to loose at 34 to 52 percent across the common base sizes. Estimating from the finished depth alone therefore leaves you short: the tonnage has to be worked out against the compacted density, and the volume of fill you watch arriving will be noticeably larger than the hole it goes into. Clean single-sized stone is the exception — with no fines to close up, compaction barely changes its depth at all.

What is the difference between #57 stone, crusher run and screenings?

#57 is a clean, single-sized gravel of roughly ¾ inch with the fines washed out, so it drains freely, locks together only loosely and never really compacts. Crusher run — also sold as dense graded aggregate or DGA — keeps the full range of particle sizes from ¾ inch down to dust, which is what lets it compact into a hard, tight base. Screenings are that fine end on their own, a dust-to-⅜-inch material used as a levelling course under pavers and flags rather than as a structural layer. Use crusher run where you want a firm surface to drive on, screenings where something has to be bedded flat, and #57 where water has to move through — a French drain, or a drainage sub-base beneath a slab.

Should limestone be ordered by the ton or by the cubic yard?

By the ton, in almost every case. Weight is unambiguous, it is what the weighbridge ticket records, and it does not change with how the load settles. Volume is useful for picturing the delivery and for checking that the truck can carry it, but a cubic yard of loose stone and a cubic yard of the same stone rolled into a driveway are two different quantities of rock. Cost follows weight as well: quarries quote per ton and haulage is charged on the same basis, so the delivered cost of a load is a weight figure from end to end. This calculator reports both, and treats the tonnage as the number to order against.

Before you place the order

  • The area is measured, not paced out
  • The depth entered is the finished one
  • The grade matches the job — dense to drive on, clean to drain
  • The layer is deeper than the largest stone in it
  • The subgrade is shaped, drained and fabric laid if soft
  • The order is in tons, with haulage priced separately

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Disclaimer

This calculator estimates material quantities for a uniform layer of crushed stone over a measured area. It does not model an uneven subgrade, ruts or hollows being filled, stone lost into soft ground, or the extra depth a crowned surface needs at the centre.

The densities offered are typical values for common grades. Limestone varies by quarry and by moisture content, and the dense graded base figures are drawn from Wisconsin measurements rather than from your supplier's material. Where the tonnage matters, ask the quarry for the conversion factor for the specific product and enter it as a custom density.

Depth guidance reflects common practice for residential and light-traffic work. Structural pavements, public roads and anything carrying heavy or repeated axle loads should be designed against the relevant highway or geotechnical specification rather than a rule of thumb.

Last updated

Densities, coverage figures, and references checked on this date.