Concrete calculator

How much concrete a slab, beam, column or pad footing needs, and the cement, sand, aggregate and water to batch it on site. Every assumption is shown beside the answer, and you can change it.

Pad footing dimensions

Mix and assumptions

site rule of thumbNominal volume mixes common on site. For a structural member, use the mix or strength class the engineer specifies.

site rule of thumbSpillage, over-excavated bases and uneven formwork. Many sites allow 2 to 10 percent; the right figure depends on the work and the crew.

site rule of thumbLoose dry cement, sand and aggregate take more room than the finished concrete, because water fills the voids between particles. A factor of about 1.52 to 1.57 is widely used on site; 1.54 is the common figure.

material propertyThe loose bulk density of ordinary Portland cement, commonly taken as 1,440 kg per cubic metre for estimating. It varies with how the cement is packed.

product sizeCement is commonly sold in 50 kg bags; change this if your supplier's bag is different.

site rule of thumbLitres of water per kilogram of cement. Less water gives stronger, more durable concrete if it can still be placed and compacted; the specification or the mix design sets the maximum.

Result

Concrete, as measured
3.6 m³
Waste allowance (5%)
0.18 m³
Concrete to batch
3.78 m³
Dry materials
5.821 m³
Cement
1,197.5 kg
Cement bags to buy
24 of 50 kg
Sand
1.663 m³
Aggregate
3.326 m³
Water
599 litres

Mix 1 : 2 : 4 (7 parts). Sand and aggregate are loose volumes; buy by the supplier’s unit (a truck, a tonne) and convert with their figure.

No material cost is estimated: the site has no verified cement price observed in the last 12 months, and it does not estimate a cost from an unverified or older figure.

What this calculator is for

Ordering and checking materials for a pour: how many bags of cement to buy, how much sand and aggregate to have on site, and how much water the batch takes. It is an estimate for planning, not a structural design, and it does not replace the engineer’s specification or a mix design.

How it works

  1. The element’s volume from its dimensions: length × width × thickness for a slab; length × width × depth for a beam or a footing; width × depth × height, or π/4 × diameter² × height, for a column. Times how many.
  2. Add the waste allowance: volume × (1 + waste %).
  3. Convert to dry volume: × the dry volume factor, because the loose dry materials shrink when water is added.
  4. Split the dry volume by the mix: cement is 1 part in (cement + sand + aggregate) parts, and so on.
  5. Cement by weight: its volume × the cement bulk density, then divided by the bag weight and rounded up to whole bags.
  6. Water: cement weight × the water-cement ratio (a kilogram of water is a litre).

Assumptions

Each one is an input above. None of them is a legal or standard requirement; they are the figures sites commonly work with.

Assumptions used in this calculation
AssumptionValue usedWhere it comes from
Waste allowance5 %Site rule of thumb. Spillage, over-excavated bases and uneven formwork. Many sites allow 2 to 10 percent; the right figure depends on the work and the crew.
Dry volume factor1.54Site rule of thumb. Loose dry cement, sand and aggregate take more room than the finished concrete, because water fills the voids between particles. A factor of about 1.52 to 1.57 is widely used on site; 1.54 is the common figure.
Cement bulk density1440 kg/m³Material property. The loose bulk density of ordinary Portland cement, commonly taken as 1,440 kg per cubic metre for estimating. It varies with how the cement is packed.
Cement bag50 kgProduct size. Cement is commonly sold in 50 kg bags; change this if your supplier's bag is different.
Water-cement ratio0.5Site rule of thumb. Litres of water per kilogram of cement. Less water gives stronger, more durable concrete if it can still be placed and compacted; the specification or the mix design sets the maximum.

Worked example

A ground-floor slab 5 m long, 4 m wide and 150 mm thick, mixed at 1 : 2 : 4 with a 5% waste allowance:

  • Volume: 5 × 4 × 0.15 = 3 m³; with waste, 3.15 m³.
  • Dry volume: 3.15 × 1.54 = 4.851 m³, in 7 parts.
  • Cement: 4.851 ÷ 7 = 0.693 m³ × 1,440 kg/m³ = 997.9 kg, or 19.96 bags of 50 kg: buy 20.
  • Sand: 4.851 × 2/7 = 1.386 m³. Aggregate: × 4/7 = 2.772 m³.
  • Water at a water-cement ratio of 0.5: 499 litres.

Limitations

  • Nominal volume mixes do not guarantee a strength. Structural concrete should be to the engineer’s specification and checked with cube tests.
  • The dry volume factor and the cement density are site rules of thumb. Damp sand bulks, and different materials pack differently.
  • Openings, sloping soffits, thickenings and haunches are not in the volume unless you add them.
  • No reinforcement, formwork or labour is included.

Related guides

More in Engineering and Methods.

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