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Cement, Sand & Aggregate Calculator

Split a concrete or mortar mix into bags of cement and volumes of sand and aggregate.

About the Cement, Sand & Aggregate Calculator

Nominal mixes give the proportion of cement : sand : aggregate by volume. Because dry materials shrink when water is added and voids fill, the dry volume is about 1.54 times the wet volume for concrete (1.33 for mortar). Cement's bulk density is taken as 1,440 kg/m³, so a 50 kg bag is about 0.0347 m³.

The formula

Cement (m³) = wet volume × 1.54 × cement parts ÷ total parts; bags = m³ × 1440 ÷ bag kg

Common nominal mixes

GradeCement : sand : aggregateTypical use
M101 : 3 : 6Levelling, blinding
M151 : 2 : 4Paths, plain concrete
M201 : 1.5 : 3Slabs, beams, columns (RCC)
M251 : 1 : 2Heavier structural work

Worked example

Example: Cement = 7.3 bags

  1. Inputs: Wet volume: 1 m³; Mix: M20 concrete (1:1.5:3); Cement bag: 55 kg.
  2. Formula: Cement (m³) = wet volume × 1.54 × cement parts ÷ total parts; bags = m³ × 1440 ÷ bag kg
  3. Result: Cement = 7.3 bags

Things to keep in mind

  • For structural concrete above M20, use a design mix by weight, not nominal volume proportions.

Questions people ask

Why multiply by 1.54?

Dry materials pack down by about a third when mixed with water.

How much water?

A water–cement ratio of about 0.45–0.55 by weight for most mixes.