# Cement, Sand & Aggregate Calculation in Concrete

**Before starting Numerical, Learn these topics.**

1 cub.m = 35.31 cub.feet

Density of Cement = 1400kg/cub.m

Density of Sand = 1450 kg/cub.m

Density of Aggregate =1500 kg/cub.m

**Best starting the calculation of cement, sand and aggregate, Learn the below table:**

Concrete Grade | Mix Ratio | Compressive Strength | |

MPa (N/mm^{2}) | psi | ||

Normal Grade of Concrete | |||

M5 | 1 : 5 : 10 | 5 MPa | 725 psi |

M7.5 | 1 : 4 : 8 | 7.5 MPa | 1087 psi |

M10 | 1 : 3 : 6 | 10 MPa | 1450 psi |

M15 | 1 : 2 : 4 | 15 MPa | 2175 psi |

M20 | 1 : 1.5 : 3 | 20 MPa | 2900 psi |

Standard Grade of Concrete | |||

M25 | 1 : 1 : 2 | 25 MPa | 3625 psi |

M30 | Design Mix | 30 MPa | 4350 psi |

M35 | Design Mix | 35 MPa | 5075 psi |

M40 | Design Mix | 40 MPa | 5800 psi |

M45 | Design Mix | 45 MPa | 6525 psi |

High Strength Concrete Grades | |||

M50 | Design Mix | 50 MPa | 7250 psi |

M55 | Design Mix | 55 MPa | 7975 psi |

M60 | Design Mix | 60 MPa | 8700 psi |

M65 | Design Mix | 65 MPa | 9425 psi |

M70 | Design Mix | 70 MPa | 10150 psi |

**Cement, Sand & Aggregate Calculation in Concrete of 1 cu.meter**

**Note :**

The volume of Dry concrete is 54%-57% of Wet volume of concrete.

i.e. Dry volume of concrete = 1.54 * Wet Volume of concrete

Given,

Wet Volume = 1 cub.m

Dry volume = 1.54 cub.m

( Dry concrete is 54%-57% more because there is loss during preparation and also concrete contracts after drying)

**For M20 Concrete**

Cement : sand : aggregate = 1 : 1.5 : 3

Sum of all ratios = 1+1.5+3 = 5.5

**Cement**

Quantity of cement = (cement ratio / Sum of ratios ) * Dry volume

= (1 / 5.5 ) * 1.54

= 0.28 cub. m

Density of cement = 1440 kg/cub.m

Mass of cement = Volume of cement * Density

= 0.28 * 1440

= 403.2 kg

We know that each bag of cement is of 50 kg

Number of cement Bags = 403.5/50 = 8 bags

**Sand**

Quantity of Sand = (Sand ratio / Sum of ratios ) * Dry volume

= (1.5 / 5.5 ) * 1.54

= 0.42 cub.m

Density of Sand = 1450kg/cub.m

Mass of sand = 0.42 * 1450 = 609 kg

**Aggregate**

Quantity of aggregate = (aggregate ratio / Sum of ratios ) * Dry volume

= ( 3 / 5.5 ) * 1.54

= 0.84 cub. m

Density of Aggregate : 1500 kg/ cub. m

Mass of Aggregate : 0.84 *1500 = 1260 kg

Read Also: Rise & Fall Method |