Methodology & sources

This page is generated from the same data files the calculators read. If a number changes in the tool, it changes here — the two cannot drift apart.

How we choose a number

Sources are used in this order of authority:

  1. Manufacturer technical data sheets, for anything sold in a bag.
  2. NRMCA, for ready-mix supply and delivery practice.
  3. ASTM and ACI, for test methods and design conventions.
  4. State DOT specifications, for aggregate gradations and base materials.
  5. Government and university extension publications.
  6. Established suppliers, for commercial practice such as batching increments.

We do not treat other calculator websites as authorities. They are useful for cross-checking our arithmetic, and we do check against them, but no constant on this site cites one as its source.

Where real-world values genuinely vary, we publish a range rather than inventing precision. Concrete density depends on the mix; aggregate density depends on moisture and gradation; plant minimums and fees are set regionally. A figure quoted to three decimal places would look more authoritative and be less true.

Geometry

All volumes are computed in feet and converted afterwards. The imperial path is exact integer arithmetic — 12 inches to a foot, 3 feet to a yard, 27 cubic feet to a cubic yard — so no floating-point drift reaches the headline figure. The metric path uses the defined factor of exactly 0.3048 metres per foot.

ShapeMethod
Slab, footing, wall, rectangular columnlength × width × thickness
Circular slab, round columnπ r² × height
Tube / ringπ(R² − r²) × height
Tapered slab((width A + width B) ÷ 2) × length × thickness
Belled pierCylindrical shaft + conical frustum: (πh ÷ 3)(R² + Rr + r²)
Monolithic slab Slab volume + edge beam along the centreline perimeter, so corners are neither double-counted nor missed
Stairs (solid) Stacked prisms: run × rise × N(N+1)/2 × width, plus any top platform at full flight height
Stairs (suspended) Sawtooth above the slope (N × rise × run ÷ 2) plus a throat slab along the flight hypotenuse
Curb & gutter Cross-section × run. The flag is taken across the full width including beneath the curb, with the curb block sitting on top — the monolithic section.
Post hole Cylinder minus the post’s own volume over the embedded depth
Wall openingsDeducted at full wall thickness, floored at zero

Bag yields

Yields are published figures, not interpolations. Every bag size in use cites a manufacturer data sheet.

BagYieldPer yd³Source
40 lb 0.3 ft³ 90
Sakrete High-Strength Concrete Mix, Technical Data Sheet — Manufacturer technical data sheet, retrieved 2026-09-11
50 lb 0.375 ft³ 72
60 lb 0.45 ft³ 60
Sakrete High-Strength Concrete Mix, Technical Data Sheet — Manufacturer technical data sheet, retrieved 2026-09-11
QUIKRETE Concrete Mix, Technical Data Sheet #1101 — Manufacturer technical data sheet, retrieved 2026-09-11
80 lb 0.6 ft³ 45
Sakrete High-Strength Concrete Mix, Technical Data Sheet — Manufacturer technical data sheet, retrieved 2026-09-11
90 lb 0.66 ft³ 41
Sakrete High-Strength Concrete Mix, Technical Data Sheet — Manufacturer technical data sheet, retrieved 2026-09-11

90 lb: The 90 lb bag is the one size that does NOT sit on the 0.0075 ft³-per-pound line the 40/50/60/80 lb bags share (0.66 ÷ 90 = 0.00733). Quoted as published rather than scaled — which is exactly why the smaller sizes must never be back-calculated from it.

Concrete density

Mix Used Range Notes & source
Plain concrete (no reinforcement) 145 lb/ft³ 140–150 ACI 318 takes plain normal-weight concrete at 145 lb/ft³. The 140–150 band is the accepted range for normal-weight mixes; actual density is measured per ASTM C138.
ACI 318 convention for plain normal-weight concrete (145 lb/ft³) — Industry standard
Reinforced concrete (with rebar) 150 lb/ft³ 145–156 ACI 318 takes reinforced normal-weight concrete at 150 lb/ft³ — the extra ~5 lb/ft³ over plain concrete accounts for the steel. 150 lb/ft³ is 4,050 lb per cubic yard, the familiar "about two tons a yard".
ACI 318 convention for reinforced normal-weight concrete (150 lb/ft³) — Industry standard
Structural lightweight concrete · confirm with supplier 110 lb/ft³ 90–120 Lightweight mixes vary widely with the aggregate used. Get the actual unit weight from your ready-mix supplier's mix design rather than estimating from this range.

Ready-mix delivery

These are typical practice, not standards. Minimum order sizes, short-load charges and batching increments are set by each plant and vary by region and over time. The calculator ships these as starting points and lets you enter your own supplier's actual minimum and charge, which then take precedence.

TYPICAL PRACTICE, NOT A STANDARD. Mixer capacities run 8-12 yd³, with ~10 yd³ the common full load. NRMCA notes a drum's rated mixing capacity is about 63% of its gross volume, which is why a drum that looks larger still delivers ~10 yd³. Minimum order sizes and short-load charges are set by each plant and vary regionally and over time — the figures here are a starting point, and the calculator lets you enter your own supplier's actual minimum and charge.

NRMCA, Ordering Ready Mixed Concrete — mixer capacity 8–12 yd³; rated capacity ≈ 63% of gross drum volume — retrieved 2026-09-11

Aggregate density

There is no authoritative national per-product density table, and there is not going to be one. Bulk density is a property of the sample measured under AASHTO T 19 / ASTM C29 — Bulk Density ("Unit Weight") and Voids in Aggregate — it depends on the source rock, the gradation and the moisture. A Wisconsin DOT study tested 29 of that state's own aggregates and found conversion factors spanning 1.50–1.98 tons/yd³, and found that only about 23% of state DOTs publish conversion factors at all. That is why every figure below is a range.

Densities here are loose, as-delivered — the state the material is in when the quarry weighs it onto the truck. Compaction is handled separately, as the factor that converts a finished compacted depth into the loose volume you have to order. Mixing the two is the error that under-orders a job.

Material Type lb/ft³ Compaction Sourcing
#57 stone (¾" washed)
FHWA measured AASHTO No. 57 at 95.4–108.7 lb/ft³ between the loose (ASTM D4254) and vibrated (ASTM D4253) states. The 12% upper compaction bound is that laboratory vibration — a plate compactor on site achieves far less, which is why open-graded stone is treated as essentially non-compacting.
Open-graded (clean) 95.4–108.7 0–12% Published figure
#8 stone (⅜" chip)
FHWA reported 85.7–112.8 lb/ft³ across different No. 8 sources. That spread is unusually wide and reflects genuine source-rock variation — confirm with your quarry before ordering by weight.
Open-graded (clean) 85.7–112.8 0–12% Published figure
Coarse drainage rock (#1–#3 size)
Keyed to WSDOT Permeable Ballast at 1.40 tons/yd³. Penn State describes aggregates in this size class as open-graded and essentially non-compactible, which is why the compaction allowance is near zero.
Open-graded (clean) 92–112 0–10% Published figure
Crusher run / dense-graded aggregate
Loose densities are WSDOT's truck-measure figures for crushed surfacing. The compaction band is derived from the same table: material weighing 1.43–1.55 T/cy loose weighs 1.85–1.95 T/cy once compacted on the roadway, which is a 20–23% reduction in volume.
Dense-graded 105.9–114.8 20–25% Published figure
Gravel base
WSDOT gives gravel base as 3,400–3,800 lb/cy (1.70–1.90 T/cy) compacted, recommending 3,700 lb/cy as the most suitable figure, falling toward 3,400 where the grading is more than 45% sand. Loose densities here are the corresponding truck-measure figures.
Dense-graded 103.7–114.8 18–25% Published figure
Ballast (coarse dense-graded)
WSDOT gives ballast as 3,100 lb/cy truck measure and 3,900 lb/cy compacted, a 20.5% volume reduction.
Dense-graded 110–120 18–24% Published figure
Screened gravel surfacing
WSDOT gives screened gravel surfacing as 3,700 lb/cy (1.85 T/cy) compacted; the loose figures follow the crushed-surfacing truck measures in the same table.
Dense-graded 103.7–116 18–24% Published figure
Pea gravel
No published figure exists for pea gravel specifically. This band is the AASHTO T 19 / ASTM C29 range for normal-weight aggregate, narrowed to the part of it that rounded ⅜" gravel occupies. Treat it as indicative and get your quarry's tons-per-yard before ordering by weight.
Rounded 90–110 0–3% Class range — no published product figure
River rock (1–3")
No published figure for decorative river rock. This band sits at the lower end of the AASHTO T 19 normal-weight range because large rounded stone packs with high void content. Indicative only.
Rounded 85–105 0–0% Class range — no published product figure
Stone dust / screenings
Keyed to WSDOT's guidance that a sand-rich grading falls toward 3,400 lb/cy (1.70 T/cy) compacted. No figure is published for screenings as a product, so this is a class range rather than a specific citation.
Dense-graded 100–120 12–22% Class range — no published product figure
Sand
WSDOT gives essentially-all-sand grading as 3,400 lb/cy (1.70 T/cy) compacted. Sand's density swings more with moisture than any other material here — wet sand can weigh materially more than the same volume dry, so weight-based ordering deserves a phone call.
Dense-graded 95–118 8–18% Class range — no published product figure

Materials we deliberately do not offer. Riprap, recycled concrete, decomposed granite, lava rock and marble chips were researched and left out: no authoritative density could be established for them, and a plausible-looking invented figure is worse than an absent one. Limestone and granite are not listed as named products either, because density tracks gradation far more closely than rock type — pick the gradation instead.

Aggregate compaction

The compaction figures are derived from the same WSDOT table as the densities. Material weighing 1.43–1.55 tons/yd³ on the truck weighs 1.85–1.95 tons/yd³ once compacted on the roadway, which is a 20–23% reduction in volume. Open-graded and rounded stone barely change, which Penn State's dirt-and-gravel-road research describes as essentially non-compactible.

Aggregate delivery and ordering

Typical practice, not a standard. Legal axle loads and body sizes vary by state and by hauler.

WSDOT Design Manual M 22-01.23, Exhibit 620-1 (Sept 2024) — "If material is to be stockpiled, increase required quantities by 10% to allow for waste."

Waste allowances

Waste is applied to the total, not merely suggested in prose. These presets are practice-based judgement rather than published standards, which is why they are adjustable and why the calculator shows the adjustment as its own step:

Rounding

Calculated volumes are real numbers and are shown as such. Order quantities round up, always: to the next 0.25 yd³ for ready-mix, and to whole bags and whole truckloads. Rounding an order down would leave a crew short mid-pour, so the rounding is deliberately asymmetric.

Landscaping, hardscaping and interior sources

Listed from the same data files the Landscaping and Hardscaping calculators read. Where a figure is typical practice rather than published, the calculator says so beside the figure; where no authoritative figure exists, it asks you for yours. Retaining-wall and pool quantities are material quantities only — neither calculator designs a wall or a pool.

Landscaping

Mulch

Topsoil

Seed

Sod

Hardscaping

Pavers

Retaining wall

Pool

Interior

Paint

Drywall

Wallpaper

What this calculator does not do

Slab / rectangle through to Belled pier, every figure here is an estimate for planning. Confirm quantities with your supplier before you order.

Corrections

If you believe a constant here is wrong, we would rather know. Every value is centralised in one data file specifically so it can be corrected in one place.