Paver Calculator: Paver Count, Base Gravel and Bedding Sand

This calculator turns a patio or driveway footprint into a complete material list: how many pavers to order once cuts are allowed for, how many tons of compacted aggregate base go underneath, how much bedding sand sits between base and paver, how many bags of polymeric sand fill the joints, and how much edge restraint and how many spikes hold the field together. The layer thicknesses follow standard interlocking concrete pavement practice, where the bedding course is a nominal 1 in and the base is sized by traffic and subgrade.

Calculator

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Inputs this calculator takes, with typical values
InputWhat to enterExample
Paved area lengthFinished dimension of the paver field, measured to the outside face of the pavers.20 ft
Paved area widthThe other finished dimension. Split an L-shaped patio into two rectangles and run each.14 ft
Paver lengthActual unit size from the spec sheet, not the nominal name. A "4 × 8" Holland stone measures 3⅞ × 7⅞ in.7.875 in
Paver widthThe short face dimension of one unit, again from the spec sheet.3.875 in
Paver thickness60 mm (2⅜ in) units suit patios; 80 mm (3⅛ in) units are the usual choice for vehicular traffic.2.375 in
Joint widthGap between units, usually set by the spacer bars moulded onto the paver — commonly 2–3 mm (about ⅛ in).0.125 in
Cut and breakage allowanceAbout 5% for a rectangular field in running bond; about 10% for 45° herringbone or curved edges.5 %
Traffic and subgradeSets the minimum compacted base thickness the calculator checks your entry against.Pedestrian patio or walk, good subgrade — 4 in base
Compacted base thicknessThickness of dense-graded aggregate after compaction. Frost-susceptible sites often need more.6 in
Bedding sand thicknessScreeded thickness before the pavers go down. Standard practice is a nominal 1 in and never more than 1½ in.1 in

It returns

  • Pavers to order — Full units including the cut and breakage allowance.
  • Paved area
  • Compacted base volume
  • Base aggregate
  • Bedding sand
  • Polymeric joint sand
  • Edge restraint (8 ft lengths)
  • Edge spikes

The formula

N=144A(pL+j)(pW+j)(1+w)
Vbase=(L+1)(W+1)tbase1227
joint share=1pLpW(pL+j)(pW+j)

In plain text: N = A × 144 / ((p_L + j)(p_W + j)) × (1 + w)

  • NPavers to order, rounded up (units)
  • APaved area (ft²)
  • p_L, p_WActual paver length and width (in)
  • jJoint width between units (in)
  • wCut and breakage allowance (decimal)

The factor 144 converts square feet to square inches. Adding the joint width to each paver dimension gives the module — the repeating footprint each unit actually occupies on the ground.

Updated Category Site Work, Excavation & Bulk Materials Verified against published test cases Reading time 12 min

A paver patio is four materials, not one

People order pavers and forget that the pavers are the thin part. Under a finished interlocking concrete pavement sit three more materials, and two of them are heavier than the pavers themselves: a compacted aggregate base that carries the load into the subgrade, a screeded bedding course of coarse sand that the units are set into, and jointing sand that fills the gaps and creates the interlock the whole system depends on. Around the outside runs an edge restraint, without which the field simply spreads and the joints open.

Each layer is sized by a different rule. The paver count comes from geometry: the paved area divided by the footprint one unit occupies including its joint. The base is sized by traffic and subgrade, not by area. The bedding course is a fixed nominal thickness — 1 in — and treating it as a levelling layer is the classic way to ruin a patio. The joint sand follows from the joint width and the paver thickness, because you are filling a volume, not covering a surface.

Getting the paver count right is worth care for a second reason: colour. Concrete pavers are batched, and a top-up order weeks later can arrive a visibly different shade. Ordering the cut allowance up front, and pulling from several pallets as you lay, is how you avoid a patchy finish.

The module, the joint and why nominal sizes lie

The count formula divides the field area by the module area — the paver plus one joint on each of two adjacent sides. A paver sold as "4 × 8" almost never measures 4 × 8. The common Holland stone is 3⅞ × 7⅞ in, and with a ⅛ in joint the module comes back to exactly 4 × 8 = 32 in². That is deliberate: the manufacturer sizes the unit so that the repeating module lands on a round number and the pattern lays out on a grid. Enter the actual unit size and the joint separately and the arithmetic takes care of itself.

Multiplying the field area by 144 converts square feet to square inches so it can be divided by a module in square inches. Then the cut allowance is applied and the result rounded up to a whole unit. Around 5% covers the perimeter cuts on a rectangular field laid in running bond. A 45° herringbone pattern needs closer to 10%, because every course meets the perimeter at an angle and each cut wastes most of a unit.

The joint share falls out of the same two numbers. The fraction of the surface that is joint rather than paver is one minus the paver face area over the module area. For 3⅞ × 7⅞ units on a ⅛ in joint, that is 1 − 30.516 ÷ 32 = 4.64%. Multiply by the area, by the depth the sand fills, and by roughly 100 lb per cubic foot for dry graded sand, and you have the weight to buy. Working from volume rather than from a manufacturer's coverage claim is the only way to stay accurate when your joint width or paver thickness is not the one the bag was rated for.

Base and bedding volumes are ordinary area-by-thickness calculations, with one wrinkle: the base extends 6 in beyond the paver edge on every side so the edge restraint has something solid to spike into. That is why the calculator computes base volume over a footprint 1 ft larger in each direction than the paved field.

Worked example: a 20 ft × 14 ft patio in 4 × 8 Holland stone

A rectangular patio 20 ft by 14 ft, laid in 3⅞ × 7⅞ × 2⅜ in pavers with ⅛ in joints, on 6 in of compacted base and 1 in of bedding sand, with a 5% cut allowance.

  1. Paved area. 20 × 14 = 280 ft² = 40,320 in².
  2. Module area. (7.875 + 0.125) × (3.875 + 0.125) = 8.000 × 4.000 = 32.00 in².
  3. Pavers before waste. 40,320 ÷ 32 = 1,260 units exactly.
  4. With 5% cuts. 1,260 × 1.05 = 1,323 → order 1,323 units.
  5. Base footprint. (20 + 1) × (14 + 1) = 315 ft².
  6. Base volume. 315 × (6 ÷ 12) = 157.5 ft³ ÷ 27 = 5.833 yd³, which at 2,800 lb/yd³ is 5.833 × 1.4 = 8.17 tons.
  7. Bedding sand. 280 × (1 ÷ 12) = 23.33 ft³ ÷ 27 = 0.864 yd³, at 2,600 lb/yd³ = 1.12 tons.
  8. Joint share. 1 − (7.875 × 3.875) ÷ 32 = 1 − 30.516 ÷ 32 = 4.639%.
  9. Joint sand. 280 × 0.04639 × ((2.375 − 0.125) ÷ 12) = 2.435 ft³ × 100 lb/ft³ = 243.5 lb ÷ 50 = 5 bags.
  10. Edge restraint. Perimeter 2 × (20 + 14) = 68 ft ÷ 8 ft lengths = 9 pieces, with 68 spikes at one per foot.

Notice the weights. The pavers cover 280 ft² and the base under them is more than eight tons of stone. That is the real logistics problem on a patio job, and it is why the base tonnage, not the paver count, decides whether you need a machine on site.

How thick should the base be, and how flat does it have to be

Base thickness is a function of two things you cannot see from the surface: how much traffic the pavement carries and how well the subgrade drains. Construction guidance from the Interlocking Concrete Pavement Institute puts a pedestrian patio or walk at roughly 4 in of compacted aggregate over a sound subgrade, and a residential driveway at 6 in or more, with 8–12 in where the subgrade is clay, poorly drained, or subject to deep frost. Those are starting points; a soils report or a local specification beats any general figure.

Compact the base in lifts. A plate compactor works about 3–4 in of dense-graded aggregate at a time, so a 6 in base is two passes, not one. Compacting the whole thickness in a single lift leaves the bottom loose, and that is where the settlement comes from a year later.

The bedding course is where most patios are lost. It is 1 in nominal, screeded, and never compacted before the pavers go down. Every extra fraction of an inch is sand that will migrate under wheel load and let the units rock. If your base is out of level, fix the base. Screeding 2 in of sand to hide a low spot is a repair you will make twice. Standard specifications also call for coarse, well-graded bedding sand meeting ASTM C33 — not mason sand, and not the same product you put in the joints.

Edge restraint is not optional. Without it the perimeter units creep outward under traffic, the joints open, the sand washes out and the interlock is gone. Spike the restraint into the compacted base, which is why the base has to extend past the paver edge in the first place. Compare the base tonnage here against the gravel tonnage calculator if you want to price the aggregate separately, and use the concrete slab calculator if you decide on a poured surface instead.

Pavers per square foot for common unit sizes

Module area is the actual unit size plus a ⅛ in joint on two sides. Pavers per ft² = 144 ÷ module area. Multiply by your area in square feet, then add a cut allowance.
Sold asActual size (in)Module with ⅛ in joint (in²)Pavers per ft²Joint share
4 × 8 Holland3.875 × 7.87532.004.5004.64%
6 × 65.875 × 5.87536.004.0004.13%
6 × 95.875 × 8.87554.002.6673.44%
12 × 1211.875 × 11.875144.001.0002.07%
6 × 125.875 × 11.87572.002.0003.10%
8 × 16 slab7.875 × 15.875128.001.1252.34%

Actual sizes vary by manufacturer — these are the common North American dimensions where the unit plus a ⅛ in joint lands on a whole-inch module. Always check the spec sheet.

What goes wrong on paver jobs

  • Using the nominal size in the arithmetic. A "4 × 8" paver is 3⅞ × 7⅞. Using 4 × 8 as the unit size undercounts by about 4.6% — the joints disappear from the calculation.
  • Levelling in the sand instead of the base. A thick bedding course looks flat on day one and ruts within a season. Correct the grade in the compacted aggregate.
  • Compacting the base in one lift. Plate compactors reach 3–4 in of dense-graded stone. A 6 in base needs two lifts.
  • Skipping the edge restraint or spiking it into soil. The restraint has to bear on the compacted base, which is why the base extends 6 in beyond the pavers.
  • Sweeping joint sand into wet joints. Polymeric sand activates with water; loading it into damp joints sets it before it reaches the bottom, and the joint stays hollow.
  • Ordering exactly the field count. Perimeter cuts, breakage and a spare handful for future repairs are all real. Under-ordering means a colour-mismatched top-up batch.
  • Ignoring drainage. A patio needs about 1–2% fall away from the house; a base that holds water pumps fines up into the bedding course and the surface goes soft.

What the standards actually say

Interlocking concrete pavement practice in North America follows the Interlocking Concrete Pavement Institute's construction guidance, published as ICPI Tech Spec 2, Construction of Interlocking Concrete Pavements (ICPI is now part of the Concrete Masonry & Hardscapes Association). It sets the bedding course at a nominal 1 in of coarse sand meeting ASTM C33, requires compaction of the base in lifts, and requires an edge restraint on all unsupported edges.

The pavers themselves are specified by ASTM C936, which sets minimum compressive strength, maximum absorption and freeze-thaw durability for solid concrete interlocking paving units. If a supplier cannot tell you their units meet C936, that is worth knowing before the pallets arrive.

When a different method or a different surface makes more sense

Sand-set interlocking pavement is one of three ways to build a hard surface, and it is not always the right one. A bituminous- or concrete-set paver system, where units are mortared or set on an asphalt bed, suits roof decks, overlays on existing concrete, and any situation where the base cannot be excavated. It is stiffer, more expensive, and has no self-healing interlock. A poured concrete slab is cheaper per square foot in large open areas and needs no edge restraint, but it cracks on its own schedule and cannot be lifted and relaid to fix a settled corner or reach a buried utility.

The genuine advantage of sand-set pavers is repairability. You can lift twenty units, fix the base, and put the same units back with no visible seam. That is why utilities and municipalities use them over vaults and valve boxes.

If your project is a driveway rather than a patio, size the base at the higher traffic class here and check the excavation quantity with the trench excavation volume calculator for any utility crossings, or compare against a bound surface with the asphalt tonnage calculator. If the patio needs a retaining edge because of grade, the retaining wall block calculator handles the wall.

Frequently asked questions

How many pavers do I need per square foot?

Divide 144 by the module area in square inches, where the module is the actual paver size plus one joint width on each of two sides. For a 3⅞ × 7⅞ in Holland stone with a ⅛ in joint, the module is 8 × 4 = 32 in², so you need 144 ÷ 32 = 4.5 pavers per square foot. A 12 × 12 in slab with the same joint gives a 144 in² module and exactly 1 per square foot. Then add 5–10% for cuts.

How thick should the paver base be for a driveway?

Six inches of compacted dense-graded aggregate over a sound, well-drained subgrade, and 8–12 in where the subgrade is clay, holds water or freezes deeply. A pedestrian patio needs about 4 in. Compact in 3–4 in lifts, not all at once. Driveways also want 80 mm (3⅛ in) pavers rather than the 60 mm units used on patios — thickness is what resists the rotational load of a turning wheel.

What kind of sand goes under pavers?

Coarse, well-graded concrete sand meeting ASTM C33 — the same product used in concrete mixes. Do not use mason sand, play sand or stone dust: they are too fine, hold water, and migrate under load. The bedding course and the joint sand are two different materials with two different jobs. Bedding sand is a screeded 1 in cushion; joint sand is a finer graded or polymer-modified product swept into the gaps.

How many bags of polymeric sand will I need?

For the worked example on this page — 280 ft² of 3⅞ × 7⅞ pavers with ⅛ in joints and 2⅜ in thick units — five 50 lb bags, from 243.5 lb of joint volume. The number scales with joint width and paver thickness, not just area: wider joints and thicker units both mean more sand. Bag coverage claims printed on the label assume a particular joint size, so working it out by volume is more reliable when your joints differ.

Can I lay pavers directly on sand without a base?

Only for a temporary or purely decorative surface that carries no vehicles and does not need to stay flat. Sand has no load-spreading capacity, so a wheel or a furniture leg punches straight through into the subgrade. The compacted aggregate base is what turns a point load at the surface into a spread-out pressure the soil can carry. Skipping it is the single most common reason a DIY patio is uneven within two years.

Why does the base have to be wider than the patio?

Because the edge restraint spikes into it. A restraint anchored in soil pulls loose under lateral load and the perimeter pavers walk outward. Extending the compacted base 6 in past the paver edge on every side gives the spikes something to hold, and it also stops the edge of the base itself from crumbling away. That is why this calculator figures base volume over a footprint 1 ft longer and 1 ft wider than the paved area.

How much waste should I allow for a herringbone pattern?

About 10%, against roughly 5% for a running bond or stack bond on a rectangular field. In a 45° herringbone every course meets the perimeter diagonally, so nearly every edge unit is a cut and most cuts waste more than half a paver. Curved edges, circles and any field with lots of obstructions push the figure higher still. If the pattern is 45° herringbone on a curved patio, 15% is not excessive.

Do I compact the pavers after laying them?

Yes — twice. Once after the units are laid and cut in, using a plate compactor with a protective mat, which seats them into the bedding sand. Then sweep the joint sand in and compact again so the sand works down the full depth of the joint, topping up and repeating until the joints stay full. Never run a compactor over the bedding sand before the pavers go on; the bedding course is placed loose and screeded, not compacted.

References

  • Tech Spec 2: Construction of Interlocking Concrete Pavements — Interlocking Concrete Pavement Institute (now part of the Concrete Masonry & Hardscapes Association)
  • ASTM C936/C936M, Standard Specification for Solid Concrete Interlocking Paving Units — ASTM International
  • ASTM C33/C33M, Standard Specification for Concrete Aggregates — ASTM International
  • Interlocking Concrete Pavement Manual — Concrete Masonry & Hardscapes Association