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Paving Slab Calculator & Sub-Base

The Paving Slab Calculator determines the quantity of slabs, sub-base aggregate, bedding sand, and jointing compound for patios, paths, and driveways.

Table of Contents

Calculator

Quick presets

Minimum 100mm for patios, 150mm for driveways

Important

Paving and hardscape calculations estimate material quantities including sub-base, bedding, and surface materials. Ground conditions, drainage requirements, and local building regulations may affect actual quantities. For areas over 15m², consider consulting a landscaper.

How the Paving Slab Calculator Works

The calculator works through four separate material estimates, each built from your area dimensions and the slab size you choose.

First, it calculates the total paved area by multiplying length by width. For the slab count, the key concept is effective slab area — the space each slab actually occupies once you include the joint gap on two sides. A 450mm slab with a 10mm joint has an effective dimension of 460mm (0.46m), giving an effective area of 0.2116 square metres rather than the bare 0.2025 square metres of the slab alone. The calculator divides your total area by this effective slab area, rounds up to whole slabs, and applies your waste percentage.

Sub-base volume comes from multiplying the paved area by the sub-base depth you specify (our step-by-step paving guide covers the full layer system in detail). The calculator converts this volume to weight using a density of 2.1 tonnes per cubic metre, which is the standard figure for compacted MOT Type 1 aggregate. This gives you a tonnage figure suitable for ordering from a builders' merchant or aggregate supplier.

Bedding sand follows the same area-times-depth approach but uses a density of 1,600 kilograms per cubic metre — the typical figure for sharp sand used in a bedding layer. The result is in kilograms, which you can convert to 25kg bags or order as bulk loose sand.

Jointing compound is calculated from the total linear length of joints across the paved area. The calculator works out how many joint lines run in each direction, multiplies by the joint cross-section (width times slab depth), and converts the total volume to weight. This accounts for every gap between slabs, including the perimeter joints where slabs meet the edging.

Every formula in this calculator has been independently verified by a trade professional with over 25 years in construction and an academic mathematician who checks unit conversions, rounding, and complex shape calculations.

Making Sense of the Output

The results give you a full shopping list of four materials, each measured in the unit your supplier expects.

Slabs needed is a whole-slab count with your chosen waste factor built in. You cannot buy half a slab, so the calculator always rounds up. A 10% waste allowance covers cutting at edges, the odd breakage during handling, and any damaged slabs in the delivery. If your patio has lots of angled cuts — around a curved border or drain cover, for example — you might increase this to 15%. The same principle applies to indoor floor tiling, where diagonal layouts push waste even higher.

Sub-base aggregate is shown in tonnes because that is how builders' merchants sell it. One bulk bag (also called a dumpy bag or tonne bag) typically holds between 0.8 and 1.0 tonnes, so a result of 2.78 tonnes means you need three bulk bags. Sub-base is heavy and awkward to move by hand, so plan your delivery point close to the work area.

Bedding sand is shown in kilograms. A standard 25kg bag of sharp sand covers roughly 0.6 square metres at 25mm depth. For larger patios, bulk sand (sold by the tonne) is cheaper and generates less plastic waste. A result of 845kg works out to about 34 bags or just under one bulk bag.

Jointing compound is also in kilograms. The figure might seem small compared to sand and aggregate, but jointing compound fills only the narrow gaps between slabs. Smaller slabs with wider joints need proportionally more jointing — the path example needs 31.7kg of jointing for 9 square metres because 300mm slabs create far more joint lines per square metre than 450mm slabs do, and the 15mm joints are wider than the patio's 10mm gaps.

Practical Tips for Hardscape

Getting the groundwork right is the difference between a patio that lasts twenty years and one that sinks after the first winter. These steps take time, but skipping them costs far more later.

Dig out to the correct total depth before anything else. Add up your sub-base depth, bedding sand depth, and slab thickness, then subtract from the finished level you want. Any excavated topsoil can be reused in borders or raised beds — the topsoil volume estimator helps you work out if you have enough for other areas of the garden. For a standard 100mm sub-base, 40mm sand bed, and 50mm slab, you are digging down 190mm below the final patio surface. Mark this depth on pegs around the perimeter and use a string line to keep the excavation even.

Compact the sub-base in layers, not all at once. Spread and compact 50mm at a time using a vibrating plate compactor (hire one for the day — hand tamping a full patio is brutal work). Each layer should feel rock-solid underfoot before the next goes down. Rushing this stage causes uneven settlement that shows up as rocking slabs within a few months.

Check the fall gradient with a spirit level and a shim. Patios must slope away from any building at a fall of between 1:60 and 1:80 — that means a drop of roughly 12mm to 17mm per metre of run. Set your string lines to this gradient before you start laying. Water pooling against a house wall causes damp problems that are expensive to fix.

Dry-lay the first row of slabs along your longest straight edge before committing any mortar or sand. This lets you check that the joint spacing works out evenly and that you will not end up with a thin sliver of cut slab at the far end. Adjusting the joint width by a millimetre or two across the full run can often eliminate an awkward cut entirely.

Factors That Change the Calculation

The default values suit a typical pedestrian patio, but several real-world conditions call for different numbers.

Vehicle traffic roughly doubles the sub-base requirement compared to a pedestrian patio. A driveway that will bear car weight needs at least 150mm of compacted sub-base — and 200mm or more if the ground is soft or poorly drained. The preset for driveways in this calculator already uses 150mm, but if you park anything heavier than a family car (a campervan, for instance), go deeper.

Clay soils hold water and shift with the seasons. If you can see grey, sticky clay when you dig the foundation, add 50mm to your planned sub-base depth and consider laying a geotextile membrane between the clay and the aggregate. If the ground is too problematic for paving altogether, synthetic turf is a low-maintenance alternative that tolerates poor subsoils. This stops fine clay particles migrating up into the sub-base and weakening it over time.

Slab size affects joint proportions and your total jointing quantity. Smaller slabs (300mm and below) produce many more joints per square metre, which means more jointing compound and more labour. Larger format slabs (600mm+) reduce joint lines but are heavier to handle and harder to keep level. Choose the size that balances appearance with practical handling for your project.

The choice between a sand bed and a mortar bed affects both technique and material quantities. A full mortar bed (typically a 10:1 or 6:1 sand-to-cement mix) provides stronger adhesion and is standard for driveways and areas with heavy use. A plain sand bed is quicker to lay and easier to lift individual slabs for future repairs, making it suitable for garden paths and lightly used patios. If you choose a mortar bed, you will need cement on top of the sand quantity this calculator provides — roughly one 25kg bag of cement per two to three square metres of patio at a 10:1 mix ratio.

Worked Examples

Example 1: Standard patio with 450mm slabs

Scenario: Sarah wants an outdoor dining area behind her semi-detached house. She has marked out a 4 × 3 metre rectangle (13'1" × 9'10") on level ground next to the back door, large enough for a table and six chairs. She chooses 450mm square concrete slabs with 10mm joints, a 100mm sub-base, and a 40mm sand bed.

The paved area is 4 × 3 = 12 square metres. Each slab's effective dimension is 450 + 10 = 460mm (0.46m), giving an effective slab area of 0.46 × 0.46 = 0.2116 square metres. Dividing 12 by 0.2116 gives 56.7 slabs, rounded up to 57. Adding 10% waste: 57 × 1.10 = 62.7, rounded up to 63 slabs. Sub-base volume is 12 × 0.1 = 1.2 cubic metres, at 2.1 tonnes per cubic metre = 2.52 tonnes, plus 10% waste = 2.78 tonnes. Bedding sand volume is 12 × 0.04 = 0.48 cubic metres, at 1,600 kg per cubic metre = 768kg, plus 10% = 845kg. Jointing compound for all the joint lines across the 12 square metre area totals 18.8kg.

Sarah needs 63 slabs, which at roughly 450mm square means about 14 slabs per square metre with joints. The 2.78 tonnes of sub-base is three bulk bags — she should order these delivered as close to the patio area as possible since moving aggregate by wheelbarrow is slow work. The 845kg of bedding sand is about 34 standard 25kg bags, or just under one bulk bag. The 18.8kg of jointing compound is a single tub of brush-in jointing compound from most suppliers.

Key takeaway: For a standard patio on stable ground, the sub-base and sand together weigh over 3.5 tonnes — plan your delivery access and storage before ordering, not after.

Example 2: Long garden path with small slabs

Scenario: Tom is laying a 10 × 0.9 metre path (32'10" × 2'11") from his back door to the shed at the bottom of the garden. He picks 300mm square slabs with 15mm joints for a traditional stepping-stone look. The path only takes foot traffic, so he uses a 75mm sub-base and 30mm sand bed.

The paved area is 10 × 0.9 = 9 square metres. Each slab's effective dimension is 300 + 15 = 315mm (0.315m), giving an effective area of 0.315 × 0.315 = 0.0992 square metres. Dividing 9 by 0.0992 gives 90.7 slabs, rounded up to 91. Adding 10% waste: 91 × 1.10 = 100.1, rounded up to 100 slabs. Sub-base volume is 9 × 0.075 = 0.675 cubic metres, at 2.1 tonnes per cubic metre = 1.4175 tonnes, plus 10% = 1.56 tonnes. Bedding sand is 9 × 0.03 = 0.27 cubic metres × 1,600 = 432kg, plus 10% = 476kg (rounded up). Jointing compound totals 31.7kg.

The 100 slabs for just 9 square metres might look surprising compared to the patio's 63 slabs for 12 square metres. The difference comes down to slab size: 300mm slabs have barely half the effective area of 450mm slabs, so you need roughly twice as many per square metre. The wider 15mm joints also consume more jointing compound — 31.7kg for 9 square metres versus 18.8kg for 12 square metres on the patio. The 1.56 tonnes of sub-base is two bulk bags, and the 476kg of sand is about 19 standard bags.

Key takeaway: Smaller slabs mean more joints, more cuts, and more jointing compound per square metre — factor in the extra material and labour time before choosing a small format for a long path.

Frequently Asked Questions

How deep should a patio sub-base be?
For a pedestrian patio on stable ground, 100mm of compacted MOT Type 1 aggregate is the standard minimum. Driveways and areas that take vehicle weight need at least 150mm, and soft or clay-heavy ground may need 200mm or more. You can check our step-by-step paving guide for a full breakdown of excavation depths including the sand bed and slab thickness.
Can I lay paving slabs on sand without cement?
Yes, for lightly used garden paths and patios you can lay slabs on a compacted sharp sand bed over a proper sub-base without any cement. The slabs rely on their own weight and the surrounding edging to stay put. Sand-only beds are easier to lift and re-lay if a slab settles, but they are not suitable for driveways or areas with heavy traffic where a mortar bed provides the extra bond strength you need.
How many slabs do I need for a 3 by 3 metre patio?
With standard 450mm square slabs and 10mm joints, you need about 43 slabs for a 3 × 3 metre area (9 square metres) before waste, or roughly 47 slabs with a 10% waste allowance. Smaller slabs increase the count — 300mm slabs with 10mm joints would need around 91 plus waste. Use the calculator above with your exact slab size and joint width to get a precise figure, and see our tile calculator if you are tiling indoors as well.
What is the best jointing compound for paving?
Brush-in jointing compound (sometimes called paving grout) is the most popular choice for DIY projects because you simply sweep it into the joints and activate it with water. Resin-based jointing compounds set harder and resist weed growth better than sand-based alternatives, but they cost more and are less forgiving if you need to lift a slab later. For paths with artificial grass borders, a flexible resin joint handles slight ground movement without cracking.

Glossary

Sub-base

The compacted layer of crushed aggregate (typically MOT Type 1) that sits directly on the excavated ground and forms the structural foundation for the paving. Standard depth is 100mm for patios and 150mm or more for driveways. Sub-base must be compacted in layers of no more than 50mm at a time to achieve a stable, load-bearing surface.

Bedding sand

A layer of sharp sand (also called coarse or grit sand) spread over the compacted sub-base to provide a smooth, level surface on which to set the slabs. Bedding sand is typically 30–50mm deep and is screeded flat using two parallel rails and a straight edge before slabs are placed.

Jointing compound

The material used to fill the gaps (joints) between paving slabs after laying. Options include kiln-dried sand, resin-based brush-in compound, and traditional sand-cement mortar. Jointing prevents slabs from shifting, blocks weed growth, and gives the finished surface a clean appearance.

Haunching

A wedge of concrete applied against the outer edge of the perimeter slabs and their edging restraint, below finished ground level. Haunching locks the edge course in place and prevents the entire paved area from creeping outward under load. It should extend at least halfway up the slab edge and taper to the sub-base.

Pointing

The process of filling joints between slabs with mortar or jointing compound after the slabs are laid. Traditional pointing uses a sand-cement mix pressed into the joints with a pointing trowel and finished flush or slightly recessed. The term also refers to the finished joint material itself.

Fall gradient

The intentional slope built into a paved surface to direct rainwater away from buildings and prevent puddles. Expressed as a ratio — 1:60 means a 1mm drop for every 60mm of horizontal run, or roughly 17mm per metre. Patios adjacent to a house should fall between 1:60 and 1:80 away from the building wall.

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Danijel "Dan" Dadovic

Commercial Director at Ezoic · MSc Informatics · MSc Economics · PhD candidate (Information Sciences)

Builder of MakeCalcs and 5 other calculator sites. Each applies the same accuracy-first methodology — sourced formulas, known-value testing, multi-material output. Read more about Dan

Independently reviewed by Glen Todd, Construction Professional.

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