# How to Calculate Quantities Cement, Sand, Aggregate and water in 1 m3 Concrete Work

Well, this is the fundamentals things of Building Estimation that every civil Engineer should go through it. Concrete comprises cement, fine aggregates, coarse aggregates, and water in mix proportion.

Let us calculate the quantities

Note:Â for Concrete work: Dry volume =wet volume x 1.54

Â Â Â Â Â Â Â Â Â Â Â Â For mortar workÂ Â Â : Dry Volume = wet volume x 1.33

Consider,

Grade of concrete (M15) =1:2:4

Where 1= part of cement, 2 = part of sand, 4 = parts of aggregates

Total ratio = 1+2+4 =7

Â Volume of concrete =1m3 (wet volume)

Dry volume = 1x 1.54 m3 = 1.54 m^{3}

Let us know with the help of the above information I will calculate the quantities of cement, sand, and aggregates.

## 1.Cement Quantity

Â Quantity of cement in m^{3}Â = Dry Volume x (part of cement / total ratio)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 1.54 x (1/7) =0. 22 m^{3}

Â Quantities of cement in kg = 1.54 x (1/7) x1440 = 316.8 kg (Density of cement =1440 kg/ m^{3})

Â Quantities of cement in bags = (316.8/ 50) =6.336 bags (1 bags = 50 kg)

## 2..**Sand /Fine Aggregates Quantity**

**Sand /Fine Aggregates Quantity**

Â Quantity of sand in m^{3}Â =1.54 x (2/7) =0.44 m^{3}

Â Quantity of sand in kg =( 0.44 x 1450) =638 kg (Density of sand =1450-1500)

Â Quantity of sand in ft^{3}Â = 0.44 x 35.3147 = 15.54 ft^{3}Â (1 m^{3}Â = 35.3147 ft^{3})

## 3.Coarse Aggregates Quantity

Quantity of aggregates in m^{3}Â =1.54 x (4/7) =0.88 m^{3}

Quantity of aggregates in kg = 0.88×1500 =1320 kg (Density of aggregates =1450 -1550)

Quantity of aggregates in ft^{3}Â =0.88 x 35.3147 = 31.076 ft^{3}

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## 4.Â Water Quantity

Quantity of water in liter depends upon the water-cement ration and quantity of cement.

In the above examples, I have calculated

Â Weight of cement in m3 = 0.22 m^{3}

Consider water-cement ration = 0.45

Amount of water required in 1 m^{3}Â concrete work = Water cement ratio x cement weight

Now, Water = 0.45 x0.220 =0.0999 m^{3}

Amount of water required in liter= 0.0999 x 1000 = 99.9 liters.

Therefore,Â Â For 1 m^{3}Â concrete work, 6.336 bags, 15.54 ft^{3}Â sand, 31.076 ft^{3}

And 99.9 liters required having 1:2:4 proportions.

Let us take the example slab having a length of 5 m, a width of 3 m, and a thickness of 150 mm.

Length of slab = 5 m

Width of slab = 3 m

Thickness of slab =0.15 m

And, M15 =1:2:4 where 1 parts cement, 2 part sand, 4 part aggregates

Volume of slab = length x width x thickness

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 5 x 3 x 0.15 = 2.25 m^{3}

We got Wet Volume = 2.25 m^{3}

Therefore, Dry Volume =2.25 x1.54 = 3.465 m^{3}

## Quantities calculation of Slab

### Â 1. Cement Calculation

Â Â Â Â Â Â Â Volume of cement in m^{3}Â = 3.465 x (1/7)=0.495 m^{3}

Â Â Â Â Â Â Â Volume of cement in bags = (0.495 x 1440) /50 = 14.25 bags

### Â 2.Â Â Â Â Â Â Â Sand calculation

Â Â Â Â Â Â Â Volume of sand in m^{3}Â Â = 3.465 x(2/7) = 0.99 m^{3}

### Â 3.Â Â Â Â Â Â Â Aggregate calculation

Â Â Â Â Â Â Volume of aggregate in m^{3}Â = 3.465 x(4/7) =1.98 m^{3}

### Â 4.Â Â Â Â Â Â Â Water Quantity

Â Â Â Â Â Â Quantity of water in m^{3}Â = w/c x volume of cement in m^{3}

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.45 x 0.495 = 0.22275 m^{3}

Â Â Â Â Â Â Â Quantity of water in liter = 0.22275 x 1000 =222.75 liters ( 1 m^{3}Â = 1000 liters)

Therefore for 2.25 m^{3}Â of slab, 14.25 bags, 0.99 m^{3}Â sand, 1.98 m^{3}Â coarse aggregates and 222.75 liters are required.

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