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Concrete · 8 min read

Footing & Sonotube Concrete Calculator: Piers, Post Holes & Strip Footings

By BuildCalc Editorial Team · Published 2026-11-07 · Updated 2026-11-07

Quick answer

For round Sonotube piers, use V = π × (diameter ÷ 2)² × depth. A 12-inch tube 4 feet deep holds 3.14 ft³ (0.12 yd³), or 6 bags of 80-lb concrete with waste. For fence posts, subtract the buried post volume from the auger hole cylinder.

On this page

  1. 01Footing & Sonotube calculator
  2. 02Cylinder & strip footing formulas
  3. 03Sonotube bag & yardage chart
  4. 04Fence & deck post holes
  5. 05Continuous wall strip footings
  6. 06Frost line & sizing rules
  7. 07Common footing mistakes
  8. 08FAQ

01 Footing & Sonotube concrete calculator

Switch between round piers (Sonotubes), fence/deck post holes (automatically deducts buried post volume) and continuous strip footings in imperial or metric units.

Tip: a nominal 4×4 post measures 3.5 × 3.5 in actual; a 6×6 measures 5.5 × 5.5 in.

Total concrete to order

0.77 yd³

≈ 20.7 ft³ · includes 10% waste

Total bags (80 lb (36 kg))
35 bags
Bags per pier / hole
~6 bags
Estimated ready-mix cost
$127

Pouring a flat pad on top of your footings? Calculate it separately with our concrete slab calculator.

02 Cylinder & strip footing formulas

Cylindrical Sonotube pier and strip footing diagramComparison of a cylindrical tube pier footing and a rectangular continuous strip footing below frost line.grade lineD · diameterHV = π × (D÷2)² × HL · perimeterWTV = L × W × T
Round tube piers use the cylinder formula; continuous wall footings use length × width × thickness.

Round Pier / Sonotube (US)

ft³ = π × (D in ÷ 24)² × Depth ft

Round Pier (UK · AU · NZ)

m³ = π × (D mm ÷ 2000)² × Depth m

Divide total cubic feet by 27 to get cubic yards for a ready-mix order, or divide by 0.60 ft³ per 80-lb bag (0.45 ft³ per 60-lb bag).

03 Sonotube concrete chart (4-ft deep pier)

Doubling a tube’s diameter quadruples the concrete required because radius is squared in π × r² × h. Here is how much concrete a single 4-foot deep tube takes before and after 10% waste:

Concrete volume and 80-lb or 60-lb bags per 4-foot deep Sonotube pier
Tube diameterNet ft³ (4 ft deep)Order yd³ (+10%)80-lb bags (+10%)60-lb bags (+10%)
8 in1.40 ft³0.06 yd³3 bags4 bags
10 in2.18 ft³0.09 yd³4 bags6 bags
12 in3.14 ft³0.13 yd³6 bags8 bags
14 in4.28 ft³0.17 yd³8 bags11 bags
16 in5.59 ft³0.23 yd³11 bags14 bags
18 in7.07 ft³0.29 yd³13 bags18 bags
24 in12.57 ft³0.51 yd³24 bags31 bags

04 Fence & deck post holes: accounting for the post

Standard rules of thumb for setting timber or steel posts in concrete:

  • Hole diameter: Roughly 3 × post width (a 10–12 in hole for a 4×4 post; a 16–18 in hole for a 6×6 post).
  • Hole depth: Bury ⅓ to ½ of the above-ground fence height (usually 24–36 in, or below local frost depth) plus 4–6 in of tamped gravel at the bottom for drainage.
  • Subtract the buried post: Choose Fence or deck post hole in the calculator above so you don’t buy extra bags for space occupied by timber.
✓

Worked example: 10 fence posts (4×4 in 10-in holes, 3 ft deep)

One 10-in × 3-ft cylinder is 1.64 ft³. Subtracting the buried 3.5 × 3.5 in post (0.26 ft³) leaves 1.38 ft³ per hole. Across 10 posts with 10% auger-wall waste, order 15.2 ft³ = 26 bags of 80-lb concrete.

05 Continuous strip / trench footings

Strip footings carry CMU block walls, stem walls and brick veneer. Measure the total centreline perimeter in feet (or metres) and multiply by footing width and thickness:

yd³ = (Perimeter ft × Width in ÷ 12 × Depth in ÷ 12) ÷ 27

For example, 80 linear feet of a 16 in wide × 8 in deep footing equals 80 × 1.333 × 0.667 ÷ 27 = 2.63 yd³ net, or 2.90 yd³ with 10% trench-wall overage.

06 Frost line & code considerations

!

Check frost depth and bearing soil before digging

Footings supporting decks attached to a house, porches or structural walls must extend below your municipality’s frost depth (anywhere from 12 in in warm US/AU/NZ zones to 48–60 in in northern US states) and rest on undisturbed native soil or engineered fill.

07 Common footing estimating mistakes

  • Confusing diameter with radius. Entering diameter directly into π × r² overestimates volume by 4×.
  • Earth-dug trench flare. Excavator buckets rarely cut razor-straight walls; allow 10–15% waste on unformed earth trenches vs 5–8% inside cardboard tubes.
  • Belled pier bases. If your inspector requires flared bell bases under deck piers, add 0.5–1.5 extra bags per pier depending on bell diameter.

08 Frequently asked questions

How many 80-lb bags of concrete do I need for a 12-inch Sonotube 4 feet deep?

A 12-inch diameter tube that is 4 feet deep holds 3.14 cubic feet of concrete. Divided by 0.60 cubic feet per 80-lb bag, that is 5.24 bags—so buy 6 bags per pier (or 8 bags of 60-lb mix) to allow for waste and slight crowning at the top.

How do you calculate concrete for round Sonotube footings?

Use the cylinder formula V = π × r² × height. Convert the tube diameter in inches to radius in feet by dividing by 24, square it, multiply by 3.1416 and multiply by pier depth in feet. Divide cubic feet by 27 to convert to cubic yards.

How many bags of concrete do I need per fence post hole?

A typical 4×4 wood fence post set 2.5 to 3 feet deep in a 10-inch or 12-inch auger hole needs 2 to 3 bags of 80-lb concrete (or 3 to 4 bags of 50-lb fast-setting mix) once you subtract the volume of the buried post itself.

How wide should a footing be for an 8-inch block or concrete wall?

A traditional rule of thumb for light residential construction on stable soil is making the strip footing twice as wide as the wall thickness (16 inches wide for an 8-inch wall) and at least as thick as the wall width (8 inches deep). Always verify soil bearing capacity and local building codes.

Should I subtract the wood post volume when calculating post-hole concrete?

Yes. A nominal 4×4 post (3.5 × 3.5 in actual) buried 3 feet displaces 0.26 cubic feet, and a 6×6 post (5.5 × 5.5 in) displaces 0.63 cubic feet—more than a full 80-lb bag per hole. Over 20 fence posts, subtracting the post saves 10–20 bags.

When should I switch from bagged concrete to a ready-mix truck for footings?

Once your piers or strip trenches pass roughly 1 to 1.25 cubic yards total (45–55 bags of 80-lb mix), ordering ready-mix saves hours of heavy mixing and produces a monolithic pour without cold joints.

BC

BuildCalc Editorial Team · Estimating & construction content

We turn contractor rules of thumb into tested formulas and free calculators. Every guide is checked against manufacturer yield data and re-reviewed when numbers change.

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