Paver Base and Bedding Sand Calculator

Enter the size of the patio and the depth of the base and the bedding sand and get the paver base in tons and the sand in bags or tons, each rounded up once on its own.

A ready-made setup of the Paver Calculator.

Estimates for planning, not professional advice. Read the full notice.

Patio size

Feet and inches, like 12' 6"

reads as 12 feet

Feet and inches, like 12' 6"

reads as 12 feet

Inches, like 4 in

reads as 4 inches

Inches, like 4 in

reads as 1 inch

Example: a paver patio

4 tons to order (3.6 tons exact)

  • Base, cubic yards in place 1.78 yd³
  • Base, cubic yards loose 2.84 yd³
  • Base, tons at the supplier's step 4 tons
  • Base, tons at the low end of the expansion range (27%), for comparison 3 tons
  • Bedding sand, cubic yards 0.44 yd³

Shopping list

Example: a paver patio
ItemSizeBuy
Base course by the ton1 ton4 tons
Bedding sand by the bag0.5 ft³ bag24

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    Worked example: a paver patio

    Show the working
    1. Base: volume in place 144 ft² × 4 in = 48 ft³
    2. Base: loose volume, with its own expansion 48 ft³ + 60 % expansion = 2.84 yd³
    3. Base: tons at the weight 2.844444 yd³ × 1.25 ton/yd³ = 3.6 tons
    4. Base: round up once, to the ton step 3.6 tons = 4 tons
    5. Bedding sand: volume, loose with no expansion 144 ft² × 1 in = 12 ft³
    6. Bedding sand: divide by the bag size, round up once 12 ft³ ÷ 0.5 ft³ = 24 × 0.5 ft³ bags

    Assumptions

    The figures behind the example. Sourced figures link to their source below; a default is a starting value to check against your label or supplier.

    AssumptionValueDetails and changes
    Base course weight 1.25 ton/yd³[1]
    Default New Mexico EMNRD's factor for base course.
    Sand weight 1.45 ton/yd³[1]
    Default New Mexico EMNRD's factor for sand. It does not say wet or dry, loose or compacted; USBR says moist loose sand weighs much less than dry compacted sand.
    Landscape waste or overage 0%
    Default No silent overage. Check your label or supplier.
    Supplier's smallest ton step 1 ton
    Default Suppliers sell by the ton in steps. Check your label or supplier.
    Base expansion, top of WisDOT's range (the low end is lower: it is shown beside the order) 60%[2]
    WisDOT's research found expansion factors for 29 Wisconsin aggregates of 27 to 60 percent (graded base materials, not decorative stone).
    Sand bag size 0.5 ft³
    Default Bag sizes are on the label. Check your label or supplier.
    Paver base depth, CMHA 4 in[3]
    CMHA: a compacted base of at least 4 in under sidewalks, patios and pedestrian areas and at least 6 in under residential driveways over well-drained soils, with bedding sand screeded to an uncompacted nominal 1 in.

    Paver base and sand by patio size

    Tons of base and bags of bedding sand for four patio sizes at the starting depths

    Tons of base and bags of bedding sand for four patio sizes at the starting depths
    Patio sizeBase, tonsSand, bags of 0.5 ft³
    10 ft × 10 ft 3 tons17 bags
    12 ft × 12 ft 4 tons24 bags
    16 ft × 16 ft 7 tons43 bags
    20 ft × 20 ft 10 tons67 bags

    Each row is worked out on its own. The base is expanded to loose material and the bedding sand is loose already. Expansion is counted at the top of WisDOT's range (60%), so the order never under-buys; the low end of the range (27%) is shown beside it.

    Questions

    How much paver base do I need for a twelve by twelve patio?

    The patio table gives base tons and sand bags for four sizes, including that one, and the calculator does the same for your own size and depths.

    Is two inches of base enough under pavers?

    CMHA prints minimum compacted base thicknesses for patios and for driveways, quoted in the assumptions with the source. The calculator uses the depth you type and does not judge it.

    How much sand goes under pavers?

    CMHA describes bedding sand screeded to a nominal thickness, quoted with its source. Enter your bedding depth and the calculator gives the sand in bags or tons.

    Sources (3)

    1. Conversion Factors for Construction Materials and Common Minerals (opens in new tab), New Mexico Energy, Minerals and Natural Resources Department, Mining and Minerals Division, undated one-page table, adapted from BLM H-3890-1 Handbook for Mineral Examiners. Code or government.
      “To convert cubic yards to short tons, multiply the commodity production cubic yardage by the conversion factors listed below. ... Base course 1.25 ... Fill Dirt 0.8 ... Gravel ¼" – 2" 1.42 ... Sand 1.45 ... Top Soil 0.8”
      Checked November 12, 2026. Figures and codes change; verify with the source. Back to where this is used (Source 1)
    2. Weight-Volume Relationships and Conversion Factors for Soils and Aggregates of Wisconsin (WisDOT ID G22-05 / 0092-22-05) (opens in new tab), Wisconsin Department of Transportation (Michigan State University and University of Wisconsin-Madison), December 2023, executive summary. Code or government.
      “Conversion factors for aggregates ranged between 1.50 and 1.98 and expansion factors ranged between 27% and 60%.”
      Checked November 12, 2026. Figures and codes change; verify with the source. Back to where this is used (Source 2)
    3. PAV-TEC-002, Construction of Interlocking Concrete Pavements (opens in new tab), Concrete Masonry & Hardscapes Association, PAV-TEC-002-22, revised 2022 (web edition). Standards or industry body.
      “Sidewalks, patios and pedestrian areas should have a minimum base thickness (after compaction) of 4 in. (100 mm) over well-drained soils. Residential driveways on well-drained soils should be at least 6 in. (150 mm) thick.”
      “Bedding sand should be spread and screeded to an uncompacted nominal 1 in. (25 mm) thickness.”
      Checked November 12, 2026. Figures and codes change; verify with the source. Back to where this is used (Source 3)

    These are summaries of what the sources say, not professional advice. Codes and product data change. Check with your building department and the product label about your own project.