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Concrete Calculator: Volume, Bags, Mix Ratio & Rebar

Concrete Take-Off
© 2026 numeros.pro · Material estimate. Structural elements require engineered design.

Concrete volume for slabs, footings, columns, stairs and cylinders — with bag counts, mix quantities by grade, rebar weight and the point where ready-mix becomes cheaper than bagging it yourself. That crossover is the decision most people get wrong, and it arrives sooner than expected.

Concrete Calculator

Live
Curing conditions (optional — estimates strength gain)
Concrete needed (including 10% waste)
3.96 m³
Net volume
3.60 m³
Weight
9.5 t
Material estimate only. Structural slabs, footings and columns need engineered design and reinforcement detailing — this sizes the pour, not the structure.

The formulas

Slab / wall V = length × width × thickness Column V = width × depth × height Round V = π × (diameter/2)² × height Stairs V = width × Σ(rise × run of each step) which reduces to a triangular prism: V = width × n × rise × run / 2 ... approximately, the calculator sums each step exactly Total ordered V × quantity × (1 + waste%) Weight V × 2400 kg/m³ (normal-weight concrete)
Worked example

A 6 × 4 m slab at 150 mm: 6 × 4 × 0.15 = 3.60 m³ net, or 3.96 m³ with a 10% allowance. That is 5.18 cubic yards and weighs about 9.5 tonnes. Bagged, it needs 441 bags of 20 kg — which is the number that usually settles the ready-mix question.

Bags or ready-mix? The crossover is around 1 m³

The arithmetic is unforgiving. A 20 kg bag yields about 9 litres of wet concrete, so one cubic metre takes roughly 110 bags — over two tonnes of material to carry, open and mix by hand.

VolumeBags of 20 kgRealistic approach
Under 0.3 m³~35Bags. A wheelbarrow or small mixer handles it comfortably
0.3 – 1 m³35 – 110Bags with a hired mixer, or a mix-on-site delivery. Hard work but feasible
1 – 3 m³110 – 330Ready-mix, almost always. Most suppliers have a minimum charge here, but the labour saved outweighs it
Above 3 m³330+Ready-mix without question. Hand-mixing this volume is not realistic in the working time available

Beyond the labour, there is a quality argument that matters more. Hand-mixed concrete varies batch to batch — water content drifts, ratios slip, and consecutive batches poured against each other create cold joints if the pace falls behind. Ready-mix arrives consistent and continuous. For anything structural, that consistency is worth more than the cost difference.

Mix ratios, and what each is for

RatioGradeTypical use
1:3:6C15 / M10Mass fill, blinding, non-structural bases under slabs
1:2:4C20 / M15Paths, patios, shed bases, general domestic slabs
1:1.5:3C25 / M20Structural slabs, foundations, reinforced work
1:1:2C30 / M25Columns, beams, anything carrying significant load

The ratios are cement : sand : coarse aggregate by volume. Water is the part nobody quotes because it is the part people get wrong — a water-cement ratio around 0.45 to 0.55 by weight is the target for most work.

Adding water to make it easier to work is the most expensive mistake on site. Every litre beyond the design amount reduces strength, and the loss is steep — raising the water-cement ratio from 0.5 to 0.65 can cost around a third of the compressive strength. Wet concrete is easier to place and permanently weaker. If it will not flow, the answer is a plasticiser or better compaction, never more water.

What the calculator's quantities assume

Dry material volumes are computed with a bulking factor of 1.54. This accounts for the fact that dry ingredients occupy substantially more space than the wet concrete they produce — the sand fills voids between aggregate, and cement paste fills voids between sand grains. Ordering by wet volume without applying it leaves you roughly a third short.

Cement is converted at 1,440 kg/m³, the standard bulk density for loose Portland cement. Concrete weight uses 2,400 kg/m³ for normal-weight mixes; lightweight aggregate concrete runs 1,800–2,000 and should be checked against the supplier's figure.

Concrete kept damp reaches its full design strength by 28 days and keeps gaining, while concrete left to dry after three days stalls at around 55 percent and never recovers STRENGTH GAINED — DAMP CURING AGAINST DRYING OUT 100% design 45% lost Kept damp 7 days Left to dry after 3 100% 50% 0% Day 1 3 7 14 28 90 Strength comes from hydration, and hydration stops when the water leaves. A slab that dried out on day three reaches about 55% of what it was designed for, permanently — no amount of later watering brings it back.
Percentages of 28-day design strength, on a logarithmic day axis. The curves are the conventional figures for a normal Portland cement mix at around 20 °C; the exact numbers vary with mix and temperature, and the shape does not.

Curing: where the strength actually comes from

Concrete does not dry — it hydrates. Cement reacts chemically with water, and that reaction stops when the water leaves. A slab that dries out at three days stops gaining strength at three days, permanently. No amount of later wetting restarts it.

ACI recommends curing until the concrete reaches 70% of its design strength, which at 20 °C takes about seven days. But that seven-day figure is a temperature-specific answer that gets quoted as though it were universal, and it is not:

Curing temperatureDays to match 7 days at 20 °CWhat is happening
5 °C14 daysHydration is barely proceeding. Below 5 °C it nearly stops
10 °C10.5 daysHalf the rate of a mild day. Plan for it
15 °C8.4 daysSlightly slower than reference
20 °C7 daysThe reference condition every rule of thumb assumes
30 °C5.2 daysFaster early gain — but see the warning below

This is the maturity method, standardised as ASTM C1074. It combines time and temperature into a single index, and the calculator above applies it: enter your average curing temperature and days elapsed, and it estimates the strength reached as a percentage of the 28-day figure.

MATURITY (Nurse-Saul, ASTM C1074) M = Σ (T − T₀) × Δt T₀ = −10 °C datum · M in degree-Celsius hours STRENGTH DEVELOPMENT (ACI 209) f(t) / f₂₈ = t / (4 + 0.85t) t = equivalent age in days at 20 °C At t = 7 this gives 70% — which is exactly the threshold ACI sets for the end of required curing.

Hot weather is worse than it looks

Concrete cured at 40 °C gains strength faster in the first days and reaches a lower 28-day strength than the same mix cured at 20 °C. The rapid early hydration produces a coarser, more porous microstructure that never fully recovers. In hot climates this is the dominant risk — not the setting speed everyone worries about, but the permanent strength you quietly lose.
ConditionWhat ACI advises
Placement temperatureKeep between 10 °C and 32 °C. Above that, cool the mix with chilled water or ice, and place at night
Curing above 5 °CMaintain for at least 48 hours minimum, and preferably through the full curing period
Cold weatherBelow 10 °C, insulate to hold the concrete above 5 °C. Never place on frozen subgrade — it settles when it thaws
Mass poursKeep the core-to-surface temperature difference under about 20 °C, or thermal stress cracks the element from the inside
EvaporationWind and low humidity dry a surface faster than heat alone. Wet coverings also cool by evaporation, which helps twice over

Sources: ACI 308 (Guide to External Curing of Concrete) · ACI 301-16 · ACI 209 (Prediction of Creep, Shrinkage and Temperature Effects) · ASTM C1074 (Maturity Method). Cited for the specific figures above.

Reinforcement, roughly

ElementTypical steelNote
Ground slab with mesh40–60 kg/m³Often A142 or A193 mesh rather than loose bar
Suspended slab80–120 kg/m³Two-way reinforcement, top and bottom in places
Footings and pads60–90 kg/m³Depends heavily on soil and load
Columns150–250 kg/m³Congested — the highest ratio of any common element
Beams120–200 kg/m³Concentrated in the tension zone plus shear links

Budgetary figures for estimating steel tonnage. Actual reinforcement comes from a structural engineer's drawings — bar size, spacing, cover and lap lengths are design decisions, not estimates.

Cold weather, and why it is different from heat

Heat makes concrete set too fast; cold makes it stop setting altogether, and the two failures need opposite responses:

ConditionWhat happensWhat it needs
Above 30 °CRapid set, plastic shrinkage cracking, lower ultimate strengthPour early or late, chilled water, shade, cover immediately. Never add water to restore workability
10 to 25 °CNormal hydrationKeep damp for at least seven days
Below 10 °CHydration slows sharply. Strength gain roughly halves for every 10 degrees below 20Extend curing, delay striking formwork, consider heated water
Below 5 °CHydration nearly stopsInsulated blankets. Do not rely on the 28-day figure
Freezing before setPermanent damage. Water expands as ice and tears the paste apart before it has strength to resistNothing recovers it. The pour is lost
Concrete that froze before it set does not recover. A single freeze in the first 24 hours can cost half the design strength permanently, and it does not show on the surface. If a pour is caught by frost, the honest options are to accept a weaker slab or to break it out.

Slump, and the water that costs you strength

Slump measures workability — how far a cone of fresh concrete settles when the mould is lifted. Adding water raises it and lowers the strength, and the trade is worse than it looks:

SlumpSuitsNote
25–50 mmPavements, slipform, heavily vibrated workStiff. Needs mechanical compaction
75–100 mmMost slabs, footings and wallsThe usual specification for general work
125–150 mmCongested reinforcement, pumped workShould come from a plasticiser, not from a hose
Above 175 mmSelf-compacting mixes onlyIn an ordinary mix this means too much water

The water-cement ratio governs strength more than anything else in the mix. Adding roughly 20 litres of water to a cubic metre raises slump by about 25 mm and costs somewhere around 10% of the 28-day strength — a trade nobody would accept if it were stated that plainly on site.

Common mistakes

Mixing units on thickness. A 4-inch slab is 0.333 feet, not 4. Entering 4 where the formula expects feet overstates volume twelvefold, and it is the single most common error in concrete estimating. The calculator keeps thickness in millimetres or inches separately for exactly this reason.
Ordering the exact calculated volume. Subgrade is never perfectly level, formwork bows, and footings against earth lose material into the soil. Running short mid-pour means a cold joint you cannot undo — a permanent plane of weakness through the element. Over-ordering by 10% costs a fraction of what a cold joint costs.
Pouring on frozen or waterlogged ground. Concrete placed on frozen subgrade settles when it thaws, and standing water in the excavation raises the water-cement ratio uncontrollably where it matters most. Both produce failures that appear months later and cannot be repaired without breaking out.
Skipping the cure. Concrete gains strength through hydration, which stops when it dries out. Seven days kept damp is the usual minimum, and it delivers most of the design strength. A slab left to dry in sun and wind can lose 30% or more — after the pour, curing is the cheapest strength you will ever buy.

Frequently asked questions

How many bags of concrete do I need for a cubic metre?

About 110 bags of 20 kg, 88 of 25 kg, or 58 of 40 kg. Each 20 kg bag yields roughly 9 litres of wet concrete. That is over two tonnes of material to carry and mix for a single cubic metre, which is why ready-mix wins above about 1 m³ for most people regardless of the price comparison.

How thick should a concrete slab be?

Common minimums are 100 mm for footpaths and patios, 150 mm for a driveway carrying cars, and 200 mm or more where heavy vehicles are involved. Those are starting points rather than answers — the required thickness depends on the subgrade bearing capacity, the loading and the reinforcement. Anything structural should come from an engineer.

What is the right mix ratio?

1:2:4 cement to sand to aggregate suits paths, patios and general domestic slabs. Use 1:1.5:3 for structural work and foundations, and 1:1:2 for columns and beams. Water is the part that matters most and gets quoted least — aim for a water-cement ratio of 0.45 to 0.55 by weight, and resist adding more to improve workability.

Why does adding water weaken concrete?

Because only a limited amount of water reacts with the cement. The excess remains in the mix, then evaporates and leaves voids — and voids are where strength goes. Raising the water-cement ratio from 0.5 to 0.65 can cost around a third of the compressive strength. The concrete is easier to place and permanently weaker, and no amount of curing recovers it.

How much waste should I allow?

Ten percent for most pours, five if the subgrade is level and properly formed, and fifteen to twenty for footings against earth or on uneven ground. Running short mid-pour creates a cold joint — a permanent plane of weakness — so over-ordering slightly is much cheaper than the alternative. Have a use planned for the surplus before the truck arrives.

How long before I can walk on it or drive on it?

Roughly 24 to 48 hours for foot traffic, seven days for light vehicles, and 28 days for full design strength and heavy loads. Those are typical and depend on temperature — cold weather slows hydration substantially, and below about 5 °C it nearly stops. Keep it damp throughout: curing is where the strength comes from, and it is the cheapest part of the job.

Does the calculator include reinforcement?

It gives a budgetary steel tonnage from typical ratios per cubic metre, which is useful for pricing. It does not size or detail anything. Bar diameter, spacing, cover and lap lengths come from a structural engineer's drawings — those are design decisions, and getting them wrong is not visible until something fails.

Is my input stored?

No. Everything runs in your browser with no server request, and works offline once the page has loaded.

Sources

  • American Concrete Institute, ACI 308R. Guide to External Curing of Concrete. The seven-day damp curing recommendation and the strength-gain figures behind the diagram above.
  • American Concrete Institute, ACI 305R. Guide to Hot Weather Concreting. Covers rapid set, plastic shrinkage cracking and why adding water on site is the wrong response.
  • American Concrete Institute, ACI 306R. Guide to Cold Weather Concreting. The protection requirements below 5 °C and the consequences of an early freeze.
  • American Concrete Institute, ACI 211.1. Standard Practice for Selecting Proportions for Normal, Heavyweight, and Mass Concrete. The mix ratios and water-cement relationships quoted here.
  • ASTM C143 / C143M. Standard Test Method for Slump of Hydraulic-Cement Concrete. Defines the slump test and its ranges.
  • BS EN 206 and BS 8500. The European and UK equivalents, using strength classes such as C25/30 rather than the American psi grades.
  • Neville AM. Properties of Concrete. Pearson. The standard textbook reference for hydration, the water-cement ratio and temperature effects.
  • Volume arithmetic. One cubic yard is 27 cubic feet; one cubic metre is 35.3147 cubic feet. Bag yields — 0.30, 0.45 and 0.60 cubic feet for 40, 60 and 80 lb bags — are the manufacturers’ published figures.

Quantities are computed from the dimensions you enter and the published bag yields. Concrete work carries real structural consequences — for anything load-bearing, a slab over about 100 mm, or any element supporting a building, the specification should come from a qualified engineer rather than from a web page.

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