Construction & DIY

Patio Base Calculator

The ICPI section: excavation depth, base × 1.25 compaction at 1.40 t/yd³, one inch of bedding sand at 1.35, edge restraint, polymeric — everything UNDER the pavers.

Patio Base Calculator

Results recalculate instantly on every keystroke. Nothing you type is transmitted.

The patio
The section
Base Tons
—
stone tons, sand tons, the whole section.
Base Yards—
Sand Tons—
Edge Restraint—
Polymeric Sand—
Excavation—
The Section, Top Down—

What this result does not account for

  • Rectangular sections — curves order by segments.
  • No geotextile or drainage sub-layer line.
  • Tonnages assume dense-grade crush and C33 sand.
● Zero-Server Execution Updated 11 Aug 2026 Reviewed by Marcus Thorne, P.E. IEEE-754 Double Precision

In short: A 12 × 16 patio (192 ft²): base 4 in → 2.3704 yd³ ×1.25 compaction = 2.9630 yd³ → 4.15 t of crushed stone at 1.40 t/yd³. Sand 1 in: 0.5926 yd³ ×1.25 ×1.35 t/yd³ = 1.00 ton EXACTLY. Edge: 56 lf, spikes every 12 in; polymeric sand: 4 bags at 50 ft² each.

Formula

base yd³ = ft² × in ÷ 324, × 1.25 compaction

base t = loose yd³ × 1.40; sand t = × 1.35

edge lf = 2 × (L + W); spikes every 12 in

polymeric bags = ⌈ft² ÷ 50⌉

[('1.25', 'the compaction order-up, always'), ('1.40 / 1.35', 't/yd³ for crush / sand'), ('1 in', 'bedding sand — ICPI, never > 1½'), ('50 ft²', 'polymeric per 50-lb bag, safe end')]

Worked Example

  1. Area × base in ÷ 324, × 1.25, × 1.40 → tons.
  2. Sand: × 1.25, × 1.35 → tons.
  3. Edge = perimeter; spikes every foot.
  4. Polymeric = area ÷ 50 per bag.
  5. Dig base+sand+paver deep; slope 2%.

192 ft², 4-in base: 2.3704 → 2.9630 yd³ → 4.15 t. Sand: 0.5926 → 0.7407 yd³ → 1.00 t. Edge 56 lf, 56 spikes, 4 polymeric bags, dig ~7.4 in.

Strengths & Limits Of This Model

Where this engine is strong

  • Compaction multiplier on BOTH layers, not just one
  • The sand lands on 1.00 ton — the math itself is the story
  • Dig depth and slope carry through to the shovel

Where it stops

  • No geotextile roll count
  • Rectangles only

Risk & accuracy notice. Paver failures are base failures wearing pretty masks: uncompacted stone, thick sand, missing edge. The ICPI section with honest multipliers is the difference between a patio that outlives the mortgage and one re-leveled every Memorial Day.

Practical Use Cases

Patio builds

The whole under-section ordered.

Walkways

Small areas, same law.

Driveway-on-paver plans

The 6-in base case.

Dump-run math

Tons by trunk trips.

Contractor checks

Their base depth vs ICPI.

Methodology & Editorial Standards

Base: ft² × in ÷ 324 × 1.25 compaction × 1.40 t/yd³. Sand: ft² × in ÷ 324 × 1.25 × 1.35. Edge = perimeter with 12-in spike count; polymeric = ceil(ft² ÷ 50). Excavation = base + sand + paver thickness. Zero sides, areas past 5,000 ft², base outside 3-12 in, sand past 1½ in, pavers outside 1½-4 in refused.

Computation runs in IEEE-754 double precision at full internal precision; rounding to two decimal places occurs strictly at the display layer, so no cumulative drift enters the result. All monetary outputs use accounting presentation — grouped thousands, two decimals, negatives in parentheses — so figures can be transcribed directly into a model or working paper. Division-by-zero and out-of-domain inputs return an em-dash rather than a misleading number.

This engine was reconciled against an independent reference implementation and hand-verified for the worked example above before release. Our full five-stage review process is published on the About Us page.

Marcus Thorne, P.E. Engineering & Construction Lead · ApexConverter

Chartered structural engineer; validates material take-offs and load sizing. Last reviewed: 11 August 2026.

Disclaimer. This calculator is provided for informational and modelling purposes only and does not constitute financial, tax, legal, medical, or engineering advice. Verify all figures with a qualified professional before acting on them.


Patio Base Calculator — 8 Expert FAQs

8 analyst-written answers to the questions practitioners actually ask — optimised for voice and answer-engine retrieval.

How much base do I need for a paver patio?

Area × inches ÷ 324 gives compacted yards; multiply by 1.25 for compaction and order in tons at 1.40 t/yd³ — 192 ft² at 4 in wants 2.96 loose yards, 4.15 tons.

How thick should paver base be?

ICPI: 4 in of compacted crushed stone for patios, 6 for driveways, 8-12 over soft clays. Skimping here is the rut you will re-level every spring.

Why order 25% more base than the volume?

Loose stone compacts about 25% — the truck delivers air between the rocks. Order compacted volume × 1.25 or the last third of the patio starves.

How much sand under pavers?

One inch of washed concrete sand (C33), screeded dry — never more than 1½. Thick sand feels forgiving and ruts like a beach; the base carries load, the sand only beds the pavers.

How much polymeric sand do I need?

A 50-lb bag does 50-75 ft² depending on joint width — plan 50. The 192-ft² patio here takes 4 bags, swept and misted to set.

Does edge restraint matter?

It is the frame that stops sand migration and the creep that opens joints — spike plastic edge every 12 in around the perimeter, 56 lf and 56 spikes on this patio.

Do I need geotextile under the base?

Over soft or clay soils, yes — the fabric keeps stone from punching into the subgrade and the subgrade from muddying the stone. It adds no tons; it lies under the excavation before the first yard drops.

Paver page or this page?

The Paver page counts stones by pattern; the Paver Sand page details the bedding. This page orders the SECTION: dig depth, stone tons, sand tons, edge and polymeric — everything beneath the pavers.

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