Sonotube Calculator

Concrete tube form calculator.

Home Imperial + metric Bag count included
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Concrete needed for the tube

Volume · 60 lb / 80 lb bags · weight · multi-tube

Instructions — Sonotube Calculator

1

Pick the diameter

Fence and sign posts usually use 6 to 8 in tubes. Deck and porch posts use 8 to 12 in. Heavy piers and house piers go 12 to 16 in. The diameter is the inside diameter of the cardboard form, matching the finished concrete pier.

2

Enter the depth

Depth has to clear the local frost line plus a few inches above grade. Southern US ranges 0 to 12 in. Midwest 18 to 30 in. Northern US and Canada 36 to 60+ in. Check your county building inspector for the local minimum.

3

Count the tubes

Type the total number of identical tubes on the project. The calculator totals concrete volume, 60 lb and 80 lb bag counts, and concrete weight across all of them. Waste defaults to 10 percent for spillage and bottom hole irregularity.

Volume rule: V = pi × r² × h. An 8 in tube 4 ft deep holds about 1.40 cu ft of concrete, or 0.052 cu yd.
Bag rule: a 60 lb bag yields about 0.45 cu ft of concrete, and an 80 lb bag yields about 0.60 cu ft. So one 8 in by 4 ft tube needs roughly 3 bags of 60 lb or 2.3 bags of 80 lb.

Formulas

Concrete in a tube form is just the volume of a cylinder, repeated for each tube. The math is easy; the only catch is unit conversion between inches, feet, cubic feet, and cubic yards.

Volume of one tube
$$ V = \pi \times r^2 \times h $$
r is radius (diameter / 2). h is the filled height. Keep r and h in the same unit. With r in feet and h in feet, V is in cubic feet. Multiply by the number of tubes for the total.
Cubic feet to cubic yards
$$ V_{yd^3} = \frac{V_{ft^3}}{27} $$
1 cubic yard = 27 cubic feet. Ready-mix concrete is sold by the yard, so this is the number you give the dispatcher when ordering a truck.
60 lb bag count
$$ N_{60} = \lceil V_{ft^3} / 0.45 \rceil $$
A 60 lb bag of concrete mix yields about 0.45 cu ft of cured concrete. Round up. About 60 bags fill one cubic yard.
80 lb bag count
$$ N_{80} = \lceil V_{ft^3} / 0.60 \rceil $$
An 80 lb bag yields about 0.60 cu ft. Round up. About 45 bags fill one cubic yard. 80 lb bags are heavier to lug but cost less per cubic yard than 60 lb bags.
Concrete weight
$$ W = V_{yd^3} \times 3{,}700 $$
Residential concrete weighs roughly 3,700 lb per cubic yard (ACI Guide to Residential Concrete). 4,000 psi mix runs 3,600 to 3,800 lb/yd³. An 8 in by 4 ft tube holds about 192 lb of concrete.
Quick estimate
$$ V_{ft^3} \approx 0.0055 \times d^2 \times h $$
d in inches, h in inches. The coefficient 0.0055 = pi / (4 × 1728). Mental math shortcut: a 12 in by 48 in tube is roughly 0.0055 × 144 × 48 = 3.8 cu ft.

Reference

Concrete per tube (cubic feet, cubic yards, 60 lb bags)
DiameterDepthft³yd³60 lb bags
6 in3 ft0.590.0222
6 in4 ft0.790.0292
8 in3 ft1.050.0393
8 in4 ft1.400.0524
10 in4 ft2.180.0815
12 in4 ft3.140.1177
12 in6 ft4.710.17511
16 in4 ft5.590.20713

Frost depth by region

Foundations must clear the local frost line so that ice cannot lift a footing. Numbers below are typical published minimums for code; always check the county or municipal building department.

US frost depth
RegionDepth
Gulf South (TX, FL)0 to 12 in
Mid-Atlantic (VA, KY)12 to 24 in
Midwest (MO, KS)18 to 30 in
Northern (MN, WI)36 to 48 in
Alaska interior48 to 60+ in
Tube vs use case
UseDiameter
Mailbox / sign post4 to 6 in
Fence post6 to 8 in
Deck post8 to 10 in
Porch / pergola10 to 12 in
House pier12 to 16 in

ACI 332 (Guide to Residential Concrete Construction) gives recommended footing diameters by load, frost depth, and soil type. The IRC and IBC defer most residential frost depths to local building codes.

Article — Sonotube Calculator

Sonotube calculator: concrete volume and bag count for any tube form

A Sonotube calculator returns the concrete needed to fill a cylindrical cardboard form. Volume is pi times radius squared times height. An 8 in diameter tube filled to 4 ft holds 1.40 cubic feet, or 0.052 cubic yards, which takes about 4 bags of 60 lb concrete mix or 3 bags of 80 lb. Residential concrete weighs roughly 3,700 lb per cubic yard, so the same pier weighs about 192 lb cured. Multiply by the number of identical tubes on a project to get the total.

Sonotube is a brand name that became the generic term for waxed cardboard concrete forms. The product replaced site-built wooden forms in the mid-twentieth century and is now standard for deck piers, fence posts, sign bases, and house piers in cold-climate residential construction. The math is the same regardless of brand — concrete forms from QUIK-TUBE, RuggedTube, and store-brand alternatives all use the same cylinder formula.

The Sonotube math: cylinder volume to cubic yards

Sonotube volume math is one formula and three unit conversions. Get the diameter and height in matching units, square the radius, multiply by pi and the height, and you have volume in cubic units. Convert to cubic yards for ready-mix orders, or to cubic feet for bag-count math.

Sonotube math at a glance
V = π × r² × h cylinder volume
1 yd³ = 27 ft³ imperial conversion
1 yd³ ≈ 60 bags 60 lb bag yield
1 yd³ ≈ 45 bags 80 lb bag yield
1 yd³ ≈ 3,700 lb concrete weight

The shortcut a lot of contractors memorize is V (ft³) ≈ 0.000455 × d² × h, with d and h in inches. A 12 in by 48 in tube is roughly 0.000455 × 144 × 48 = 3.14 cubic feet, accurate enough to estimate truck or bag quantities on the spot.

Standard Sonotube diameters and uses

Diameter follows load. Fence and mailbox posts use 4 to 6 in tubes. Deck and porch posts use 8 to 10 in. Heavy piers and house piers run 12 to 16 in. Tubes above 16 in (up to 36 in) are stocked for engineered foundations and commercial applications, usually special-order at lumberyards.

FENCE POST
6 in
0.20 ft³ / ft
DECK POST
8 in
0.35 ft³ / ft
PORCH PIER
10 in
0.55 ft³ / ft
HOUSE PIER
12 in
0.79 ft³ / ft

Sonotube depth and frost line rules

The depth of a Sonotube pier has to clear the local frost line plus 6 to 12 in above grade for the finished pier. Frost line ranges from 0 in along the Gulf Coast to 60 in or more in interior Alaska and northern Canada. The County or municipal building department publishes the local minimum, and most permits require that depth on the foundation drawing.

Ignoring frost depth is the single biggest cause of failed pier foundations in cold climates. Water in soil expands about nine percent when it freezes. A shallow footing gets lifted by that expansion, then settles unevenly when the soil thaws. Over a few seasons the post leans, the deck sags, or the porch separates from the house.

Did you know

Sonotube Products Corporation commercialized the cardboard concrete form in 1952. The original innovation was a wax-saturated cardboard cylinder that resisted moisture long enough for the concrete to cure but degraded harmlessly underground over a season or two. Earlier wooden forms had to be stripped and either reused or discarded as construction waste; the cardboard form changed concrete pier construction from a half-day per pier to under an hour.

Bags of concrete per Sonotube

The 60 lb concrete mix bag yields about 0.45 cubic feet of cured concrete. The 80 lb bag yields about 0.60 cubic feet. One cubic yard of concrete therefore takes about 60 bags of 60 lb or 45 bags of 80 lb. Bag count is always rounded up — a partially used bag goes in the next pier or back to the truck.

  • 6 in by 4 ft = 0.79 ft³ = 2 bags 60 lb or 2 bags 80 lb
  • 8 in by 4 ft = 1.40 ft³ = 4 bags 60 lb or 3 bags 80 lb
  • 10 in by 4 ft = 2.18 ft³ = 5 bags 60 lb or 4 bags 80 lb
  • 12 in by 4 ft = 3.14 ft³ = 7 bags 60 lb or 6 bags 80 lb
  • 16 in by 4 ft = 5.59 ft³ = 13 bags 60 lb or 10 bags 80 lb
  • 1 yd³ ready-mix ≈ 60 bags 60 lb or 45 bags 80 lb

Sonotube installation in eight steps

The installation sequence is consistent regardless of pier size. Dig the hole to depth, level the bottom with a tamper or a few inches of gravel, lower the tube in, plumb and brace it, place the rebar cage if required, pour the concrete in lifts, vibrate or rod each lift to settle voids, finish the top with a wood float, and set anchor hardware before the concrete sets.

Tip

Set anchor bolts and post bases before the concrete reaches its initial set, usually within 30 to 60 minutes of the pour. Once the surface skin forms, embedding a post base requires breaking and re-troweling the top inch, which weakens the bond. A simple wood template across the tube top holds anchor bolts at the exact spacing the post hardware needs.

Rebar inside a Sonotube pier

Tubes 8 in and larger that carry deck, porch, or structural load take vertical rebar. The typical cage is three or four #4 (1/2 in) vertical bars tied with #3 (3/8 in) horizontal hoops every 12 in. Smaller fence-post tubes (4 to 6 in) usually skip rebar. ACI 332, the Guide to Residential Concrete Construction, has the engineered tables.

Rebar should sit at least 3 in clear of the form on all sides and 3 in above the bottom of the hole. Plastic chairs or short masonry blocks under the cage keep the bars off the dirt. Tie wires must not protrude through the cardboard wall, since they create a corrosion path once the form decomposes.

Common Sonotube ordering mistakes

The first common mistake is ordering tubes in inches and then mixing inch and foot units when computing volume. Convert everything to consistent units before multiplying, or use the calculator above. The second is forgetting that the diameter on the tube label is the inside diameter — what the cured concrete will measure — not the outer cardboard wall.

Order 10 percent extra concrete

Account for the hole bottom being irregular and the form wall flexing slightly under the head of fresh concrete. A 10 percent waste allowance on bag count keeps the pour going if a tube turns out a quarter inch oversized or the hole bottoms out deeper than planned. Returning an unopened bag is easy; running short mid-pour is not.

FAQ

Volume = pi × radius² × height. An 8 in diameter tube filled to 4 ft holds about 1.40 cubic feet, or 0.052 cubic yards. That works out to roughly 4 bags of 60 lb concrete mix or 3 bags of 80 lb. Multiply by the number of identical tubes on your project. Use the calculator above for any other size.
At least to the local frost line, plus 6 to 12 in above grade for the finished pier. Frost depth ranges from 0 to 12 in in the southern US, 18 to 30 in across the Midwest, and 36 to 48 in or more in northern states and Canada. Footing depth shallower than frost depth lets ice lift the pier and crack whatever sits on top of it.
About 60 bags of 60 lb mix or 45 bags of 80 lb mix fill 1 cubic yard. The 60 lb bag yields roughly 0.45 cu ft cured; the 80 lb bag yields roughly 0.60 cu ft. The 80 lb bag is the cheaper option per cubic yard, but heavier to lift. For more than 2 to 3 cubic yards, ready-mix truck delivery is usually cheaper than bags.
8 to 10 in diameter is the standard residential deck pier. Light decks under 12 ft span often use 8 in; larger decks and second-story decks usually require 10 or 12 in. Local code may set a minimum based on deck area and footing loads. ACI 332 includes load tables; many building departments publish their own minimums.
24 to 48 hours for light loads like a fence rail, 7 days for a deck post or heavy bracket. Concrete reaches about 50% of its design strength in 7 days and roughly 90% at 28 days. The cardboard form itself can be stripped after the concrete is set (about 24 to 48 hours), or left in place to weather away over a season.
Yes for tubes 8 in and larger, or any pier carrying a deck or structural load. Typical reinforcement is 3 or 4 vertical #4 (1/2 in) rebar tied with horizontal stirrups every 12 in. Smaller tubes for fence and sign posts often skip rebar. Local code usually has the final word; some jurisdictions require an inspection of the rebar before the concrete pour.
Residential concrete weighs about 3,700 lb per cubic yard. An 8 in by 4 ft tube holds 0.052 yd³, or about 192 lb of concrete. A 12 in by 4 ft tube holds 0.117 yd³, or about 433 lb. Plan to mix and pour in batches if you are working alone, and place the bags within reach of the hole before you start adding water.
Yes, the cardboard form is designed to be left in place and will weather away in 6 to 24 months below grade. Above-grade portions can be stripped for a cleaner look once the concrete is set, usually 24 to 48 hours after the pour. Leaving the tube intact does not harm the pier and slightly slows moisture exchange while the concrete cures.