## Calculation of Cement, Sand And Water For 12mm Thick Plastering (1:4)

Cement plaster, Gypsum plaster and Lime plaster are the commonly used plastering materials for house constructions. Cement plaster is made by mixing cement and sand in the proportions required. Cement plaster is applied to both interior and exterior walls to give them a smooth surface.

## Recommended Cement Mortar ratio for Plastering:

 Mix Ratio of Mortar General Usage Recommended 1:3 Very rich mortar mix. Not recommended for general usage at sites. Can act as a repair mortar with a waterproofing/bonding agent 1:4 For External Plaster and for ceiling plaster 1:5 Brickwork Mortar and for Internal plaster (If sand is not fine Fineness Modulas > 3) 1:6 For Internal Plaster (if fine sand is available)

## How to Calculate Cement and Sand Required for Cement Plastering:

Before we calculate quantities of Cement, Sand and Water required for Plastering work, it’s important to understand on what parameters do these quantities depend.

1. Volume of Plaster required: that can be calculated by multiplying the area of plastering to be done and thickness of plaster (12 mm in this case)
2. Mix Ratio of Plaster: Mix ratio mean the ratio of Volume of Cement to the Sand used in the mixture.

## Quantities of Cement, Sand and Water in Various Mix Ratio of Plaster:

 Area (Sqm) Plaster thickness (mm) Mix Ratio of Mortar Cement (in Kgs) Sand (In cft) Water (in Kgs) 10 12 1:3 49.37 3.77 44 10 12 1:4 39.29 3.99 44 10 12 1:5 32.54 4.14 44 10 12 1:6 27.80 4.24 44

Wastage of materials is not considered in the calculation. You can consider a wastage factor of 5% to the above calculation.

Tip: Ready Made plaster bags (40 kg) are also available in the market. They are ready to use and just water needs to be added to the mixture.

Method-1: DLBD method to Calculate Cement, Sand and Water required for Plaster (1:4)

For calculation purposes, lets assume that the area that needs to be plastered is 100 sqft (10 ft X 10 ft wall) and a Plaster of Mix ratio 1:4 (cement:sand) is used.

To determine  the ratios we will use DLBD method (Dry Loose Bulk Density), the most accurate method as it accounts for the variations in the Loose Bulk Density. Loose bulk density might vary based on the location available materials.

Step-1: Calculate the weights of materials required using bulk densities

Plaster of 1:4  Cement : sand (Volume proportion)

Volume of 1 Bag of Cement (50 kg) = 36 litre or 0.036 cum (cement loose density as 1440 kgs/cum)

Volume of Sand required (using 1:4 proportion) = 0.036 x 4 = 0.144 x 1600 = 230 kgs (considering sand dry bulk density as 1600 kgs/cum.)

Usually around 20% of water by weight of the total dry material is mixed in the mixture to achieve the desired workability.

Water required = Weight of total dry material * 20% = (50+230) x 0.2 = 56 liter = 0.056 cum

*(Keep this handy to derive initial water requirement in any cement mortar)

Step-2: Calculate the volume of wet plaster mixture

Cement = 50 kgs , Sand = 230 kgs and Water = 56 kgs

Total weight of the mixture = 50+230+56 kgs = 336 kgs

Density of Cement sand mortar = 2200 kg/cum (Approximately)

So, Amount of plaster mortar (1: 4) yielded with one Bag of cement (50 kgs) = 336/2200 = 0.153 cum

Step-3: Calculate Plaster volume required

Amount of plaster mortar required for plastering 100 sq.ft. (10 sq.mtr) area of 12 mm thickness

= 10 x 0.012 = 0.12 cum

Thus to do 100 sq.ft.plaster (12mm thick) with 1:4 proportion, the individual material required are

Step-4: Calculate Materials required for the plaster volume

Cement needed would be = (50/0.153)x 0.12 = 39.21 kgs. or 0.784 bags

Sand needed would be = (230/0.153)x 0.12 = 180 kgs or 5 cft

Bulkage of Sand is not taken into account. A correction for bulkage has to be taken into account.

Water needed would be = (56/0.153) x 0.12 = 44 liters.

Note: Keep wastage allowance of 5% over and above arrived quantities.

Method-2: Empirical method to Calculate Cement, Sand and Water required for Plaster (1:4):

This is the easiest way to calculate the quantities of materials required just we should consider the same parameters (i.e., Area – 100 sqft or 10 Sq meter and thickness 12mm

Step-1: Calculate the dry volume of cement and sand mixture required

Volume of plaster = Area X Thickness = 10 sq.m. X 0.012 = 0.12 cu.m.

The wet volume of the mixture is always less than the dry volume.

Dry volume of motor required for plastering = 1.27 X Wet volume of plaster = 1.27 X 0.012 = 0.1524 cu.m.

Step-2: Calculate the volume of Sand and Cement required

The mix ratio of plaster mortar is 1:4, So the volumes of materials required would be

Cement required = 1/5 X 0.1524 = 0.03048 cu.m.

Sand required = 4/5 X 0.1524 = 0.12192 cu.m.

Step-3: Get weights of materials required using densities:

To get the weights of materials required in multiply it with its density

Cement required = 0.03048 cu.m. X 1440 kg/cu.m. = 43.89 Kgs

Since Sand is usually measured in cu.ft. = 0.12192 X 35.29 = 4.302 cu.ft. or  195 kgs

Just by changing the numbers we calculate the cement and sand requirement for other thickness of plaster and Mix ratio

Note: Keep wastage allowance of 5% over and above arrived quantities.