CCalclabhub

Home

How To Calculate Concrete Volume

Concrete is ordered by volume and bought by the bag, so every slab, footing and path begins with the same three-number multiplication: length times width times thickness.

Quick Answer

V = L x W x T

L
Length of the pour, in metres
W
Width of the pour, in metres
T
Thickness or depth, in metres once converted
w
Waste allowance as a decimal, so ten percent is 0.1
y
Volume one bag of mix actually yields, in cubic metres

Multiply length by width by thickness, keeping all three in metres. A 4 metre by 3 metre slab 100 millimetres thick is 1.2 cubic metres of concrete. A ten percent waste allowance raises that to 1.32 cubic metres, which is 106 bags at 0.0125 cubic metres per bag, and the finished slab weighs about 2880 kilograms.

What Is Concrete Volume?

Concrete volume is the space the finished pour will occupy, and for a rectangular slab it is length multiplied by width multiplied by thickness. A slab 4 metres long, 3 metres wide and 100 millimetres thick occupies 1.2 cubic metres. Everything else in the ordering process, from the bag count to the delivery charge, is derived from that single number.

The multiplication only works if all three lengths share the same unit. Thickness is almost always quoted in millimetres because that is how formwork, screed rails and specification sheets describe it, while length and width are measured in metres. Dividing the thickness by one thousand before multiplying is the step that most often goes missing.

Concrete weighs roughly 2400 kilograms per cubic metre once cured, so volume converts into mass with a single multiplication. That figure matters because it decides how many people are needed to move a barrow load, whether a suspended floor can take the weight, and how many trips a delivery truck makes. A 1.2 cubic metre slab weighs about 2880 kilograms.

A waste allowance is added because the theoretical volume is never quite what gets poured. Sub-base that is not perfectly level, formwork that bulges under the weight, spillage between the chute and the form, and over-excavated footings all consume mix that the geometry did not predict. Five to ten percent is the usual range, with ten percent the safe default for a small pour done by hand.

Bags of premixed concrete are the practical option for anything up to about half a cubic metre, which covers paths, small pads, fence post footings and repair patches. Each bag is sold by weight and yields a fixed volume once mixed, so the bag count is the total volume divided by the yield of one bag, rounded up because a part bag cannot be bought.

Ready-mix delivery takes over above that scale. It is ordered in cubic metres, usually with a minimum charge and sometimes a part-load surcharge, and it arrives all at once, which means the formwork has to be finished and the access sorted out before the truck appears. Getting the volume right matters more here, because under-ordering means a cold joint and over-ordering means paying to dispose of the surplus.

Slab thicknesses follow loose conventions rather than a single rule. Garden paths and shed bases are usually 75 to 100 millimetres, domestic driveways 100 to 150 millimetres, and garage floors 100 to 150 millimetres over a compacted sub-base. Reinforcement is added where the slab will carry vehicle loads or where the ground beneath it is soft.

Footings and piers are not rectangular slabs, but the same principle applies: work out the cross-sectional area and multiply by the length or depth. A strip footing 600 millimetres wide and 300 millimetres deep running 12 metres has a cross-section of 0.18 square metres and a volume of 2.16 cubic metres. Circular piers use the area of a circle instead, which is pi times the radius squared.

Volume does not change once the concrete is placed, but the concrete does change. It shrinks slightly as it cures, which is why control joints are cut into slabs, and it generates heat as the cement hydrates. Neither effect changes the quantity to order; they change how the finished slab behaves.

The single most common arithmetic error is mixing millimetres into a metre-based multiplication. Using 100 rather than 0.1 for the thickness inflates the volume by a factor of one thousand, turning a domestic slab into something that looks like a commercial pour. Converting thickness to metres before any multiplication removes the whole class of mistake.

Formula

V = L x W x T

The base formula for a slab, pad or rectangular footing. Every length must be in the same unit before multiplying.

SymbolMeaning
LLength
WWidth
TThickness
VVolume

V_total = V x (1 + w)

Adds the extra mix consumed by an uneven sub-base, bulging formwork and spillage. Ten percent is a typical allowance for hand pours.

SymbolMeaning
VGeometric volume
wWaste allowance
V_totalOrder volume

n = ceil(V_total / y)

Divides the order volume by the yield of one bag and rounds up, because part bags cannot be bought. Check the yield printed on the bag, as it varies with weight.

SymbolMeaning
V_totalOrder volume
yYield per bag
nBag count

How To Calculate Concrete Volume

  1. 1

    Measure length and width in metres

    Run a tape along the longest side and then across it, and record both in metres rather than mixing feet into one dimension and metres into the other. For a footing, use the run of the trench as the length and its width as the width.

  2. 2

    Convert the thickness to metres

    Divide a millimetre figure by one thousand. A 100 millimetre slab becomes 0.1 metres. Skipping this conversion multiplies the answer by a thousand, which is the mistake that turns a garden path into a commercial pour.

  3. 3

    Multiply the three dimensions

    4 metres times 3 metres times 0.1 metres is 1.2 cubic metres. This is the geometric volume, the space the concrete will occupy once it is placed and struck off level.

  4. 4

    Add the waste allowance

    Multiply by one plus the allowance as a decimal. Ten percent means multiplying by 1.1, which lifts 1.2 cubic metres to 1.32 cubic metres. Use a larger allowance where the sub-base is rough or the formwork is flimsy.

  5. 5

    Convert to bags or order ready-mix

    Divide by the yield of one bag and round up: 1.32 divided by 0.0125 is 105.6, so buy 106 bags. For a delivery, order the volume in cubic metres and round up to the nearest half metre the supplier will sell.

Examples

Example 1: A 4 m by 3 m shed slab

Length
4 metres
Width
3 metres
Thickness
100 millimetres
Waste
10 percent
Bag yield
0.0125 cubic metres
StepCalculationResult
Thickness in metres100 / 10000.1
Area of the slab4 x 312
Geometric volume12 x 0.11.2
Volume with waste1.2 x 1.11.32
Bags of 25 kilogram mixceil(1.32 / 0.0125)106

Result: The slab occupies 1.2 cubic metres, and after a ten percent waste allowance that becomes 1.32 cubic metres, which is 106 bags of 25 kilogram mix.

Example 2: A 12 metre strip footing

Length
12 metres
Width
600 millimetres
Depth
300 millimetres
Waste
5 percent
Bag yield
0.02 cubic metres
StepCalculationResult
Width in metres600 / 10000.6
Depth in metres300 / 10000.3
Cross-sectional area0.6 x 0.30.18
Geometric volume12 x 0.182.16
Volume with waste2.16 x 1.052.268
Bags of 40 kilogram mixceil(2.268 / 0.02)114

Result: The footing needs 2.16 cubic metres of concrete, which becomes 2.268 cubic metres with a five percent allowance and 114 bags of 40 kilogram mix.

Example 3: An 8 metre garden path

Length
8 metres
Width
1 metre
Thickness
100 millimetres
Waste
10 percent
Bag yield
0.0125 cubic metres
StepCalculationResult
Geometric volume8 x 1 x 0.10.8
Volume with waste0.8 x 1.10.88
Bags of 25 kilogram mixceil(0.88 / 0.0125)71
Weight of the finished path0.8 x 24001920

Result: The path is 0.8 cubic metres of concrete, so with a ten percent allowance buy 71 bags, and the finished path weighs about 1920 kilograms.

Calculator

Concrete volume in cubic metres

1.2

Volume including waste
1.32
Bags or units required
106
Estimated weight in kilograms
2,880

Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.

Prefer a full-width tool? Open the Concrete Volume calculator page.

Common Mistakes

  • Mixing millimetres into a metre-based multiplication

    The formula needs all three dimensions in the same unit. Feeding a 100 millimetre thickness in as 100 rather than 0.1 inflates the volume by a factor of one thousand, and the resulting order still looks like a plausible large number.

  • Forgetting the waste allowance

    Geometry describes a perfect pour, and real pours are not perfect. Without an allowance the order comes up short, and running out mid-pour leaves a cold joint that is weaker than the slab around it.

  • Rounding the bag count down

    Bags are sold whole, so the count must be rounded up. Rounding 105.6 down to 105 leaves the last square metre of slab without mix, which is the worst possible place to stop.

  • Using the slab area as the volume

    Area is length times width and volume adds the thickness. Quoting the area as cubic metres understates the order by the thickness, which for a 100 millimetre slab means buying a tenth of what is needed.

  • Assuming a bag yield instead of reading it

    The mixed volume a bag produces depends on its weight and on how much water is added. A 25 kilogram bag and a 40 kilogram bag do not yield the same amount, and guessing wrong shifts the whole order.

  • Ignoring the sub-base and formwork

    Concrete settles into soft ground and pushes against weak formwork, so a slab poured over a badly prepared base can consume noticeably more than its geometric volume. The waste allowance covers the difference; skipping the ground preparation does not.

FAQ

How many bags of concrete do I need?

Divide the volume including the waste allowance by the volume one bag yields, then round up. A 1.32 cubic metre pour with a bag yield of 0.0125 cubic metres needs 105.6 bags, so buy 106. Check the yield printed on the bag, because it changes with bag weight.

How thick should a concrete slab be?

Garden paths and shed bases are commonly 75 to 100 millimetres, domestic driveways 100 to 150 millimetres, and garage floors 100 to 150 millimetres over compacted hardcore. Thicker slabs resist vehicle loads better but use proportionally more concrete, since volume scales directly with thickness.

How much does a cubic metre of concrete weigh?

Around 2400 kilograms for normal-weight concrete, which is roughly 2.4 tonnes. The exact figure varies with the aggregate and with how much air is entrained, but 2400 kilograms per cubic metre is the standard estimating value.

Should I use bags or order ready-mix?

Bags are practical up to about half a cubic metre, which covers paths, pads and post footings. Above that the number of bags and the mixing time become unreasonable, and a ready-mix delivery is both faster and more consistent in strength.

How much waste allowance should I add?

Ten percent is a safe default for a hand pour over a reasonably prepared base. Drop to five percent for a large, well-formed slab where the sub-base has been compacted and levelled carefully, and go higher where the ground is uneven or the formwork is flexible.

Does this work for footings and piers?

Yes, with a change of shape. Multiply the cross-sectional area by the length for a strip footing, or use pi times the radius squared for a circular pier, then add the waste allowance exactly as for a slab. The principle is volume equals area times depth in every case.

References

  1. [1]Wikipedia, Concrete — https://en.wikipedia.org/wiki/Concrete
  2. [2]Wikipedia, Concrete slab — https://en.wikipedia.org/wiki/Concrete_slab
  3. [3]Wikipedia, Ready-mix concrete — https://en.wikipedia.org/wiki/Ready-mix_concrete