The Quantity of Cement and Aggregates for a given concrete mix can be calculated by the following steps.

Before starting the calculation, three important points have to keep in mind.

Then Dry Volume = Increase in Wet Volume by 54%

This means,

####

Density of Cement = 140kg/m3

Density of Fine Aggregate = 1450 to 1600kg/m3

Density of Coarse Aggregate = 1450 to 1500kg/m3

Solution:

Sum of Ratio = 1+1.5 +3= 5.5

So, Dry Volume = 1.54 x ( Wet Volume ) = 1.54 Cubic Metre

Quantity of Cement in cubic metre = (Dry Volume x Part of Cement)/(Total Sum of parts )

Quantity of Cement in cubic metre = (Dry Volume x Part of Cement)/(Total Sum of parts ) = (1.54 x 1.5)/(5.5 ) = 0.〖42m〗^3

Quantity of Cement in kg = Volume of Cement x Density

= 0.42 x 1500 = 630kg

Quantity of Cement in cubic metre = (Dry Volume x Part of Cement)/(Total Sum of parts ) = (1.54 x 3)/(5.5 ) = 0.〖84m〗^3

Quantity of Cement in kg = Volume of Cement x Density = 0.84 x 1500 = 1260kg

### Point to Remeber for Concrete Quantity Calculation

Before starting the calculation, three important points have to keep in mind.

- Concrete Mix Ratios
- Wet and Dry Volume
- The density of Cement and Aggregates

#### 1. Concrete Mix Ratios

Note: Always remember the mix ratios before starting the calculation of concrete material quantity.

#### 2. Wet and Dry Volume

If the Wet Volume = 1m^3Then Dry Volume = Increase in Wet Volume by 54%

This means,

**Dry Volume of Concrete = 1.54 x ( Wet Volume of Concrete)**

####
**3. Density**

Density of Cement = 140kg/m3

Density of Fine Aggregate = 1450 to 1600kg/m3

Density of Coarse Aggregate = 1450 to 1500kg/m3

Once you are thorough with the above three requirements, we will start calculating. Please check out the following problem to determine the calculation of concrete materials for an M20 mix.

**PROBLEM: DETERMINE THE QUANTITY OF CEMENT & AGGREGATES FOR AN M20 MIX**

Solution:

### 1. Determine the Mix Ratio

Mix Ratio for M2 = 1: 1.5: 3Sum of Ratio = 1+1.5 +3= 5.5

### 2. Determine the Wet Volume & Dry Volume

Wet Volume = 1 Cubic MetreSo, Dry Volume = 1.54 x ( Wet Volume ) = 1.54 Cubic Metre

### 3. Quantity of Cement

Mix Ratio of M20 =>1: 1.5: 3 => Cement : Fine Aggregate : Coarse Aggregate;Quantity of Cement in cubic metre = (Dry Volume x Part of Cement)/(Total Sum of parts )

= (1.54 x 1)/(5.5 )

= 0.28m^3

Quantity of Cement in kg = Volume of Cement x Density

= 0.28 x 1440 = 404kg

Quantity of Cement in kg = Volume of Cement x Density

= 0.28 x 1440 = 404kg

### 3. Quantity of Fine Aggregate

Mix Ratio of M20 => 1: 1.5: 3 =>Cement : Fine Aggregate : Coarse Aggregate;Quantity of Cement in cubic metre = (Dry Volume x Part of Cement)/(Total Sum of parts ) = (1.54 x 1.5)/(5.5 ) = 0.〖42m〗^3

Quantity of Cement in kg = Volume of Cement x Density

= 0.42 x 1500 = 630kg

### 4. Quantity of Coarse Aggregate

Mix Ratio of M20 => 1: 1.5: 3 => Cement : Fine Aggregate : Coarse Aggregate;Quantity of Cement in cubic metre = (Dry Volume x Part of Cement)/(Total Sum of parts ) = (1.54 x 3)/(5.5 ) = 0.〖84m〗^3

Quantity of Cement in kg = Volume of Cement x Density = 0.84 x 1500 = 1260kg

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