# How to Calculate Cement, Sand and Coarse Aggregate Quantity in Concrete?

We have already discussed Nominal Mix of Concrete and Mix Proportions.

It’s time for some calculations.

In this post, we are going to explain “How to Calculate Concrete Volume and its ingredients?”

# How to Calculate Concrete Volume?

If it is a volume, then we know there must be 3 dimensions, Length, Height, Width or Breadth.

We covered some Basic Surface Area and Volume Formulas.

For SlabIf we need to calculate the concrete volume,

Volume = Length X Breadth X Width/Thickness = 5 X 3 X 0.125 = 3.75 m3

For BeamIf we need to calculate the concrete volume, Volume = Length X Breadth X Width = 5 X 0.6 X 0.3 = 3.75 m3

For ColumnIf we need to calculate a concrete volume for the  below Columns,

Rectangular ColumnVolume = Height X Breadth X Width = 5 X 0.6 X 0.3 = 0.9 m3

Circular ColumnVolume = πr2 h= 3.141256 X (0.15)2 X 5 = 0.35 m3

## Concrete Ingredients Calculation

For Cement, Sand and Coarse Aggregate.

This is a Volumetric Calculation.

Assuming we need 2 m3 of concrete for M20 Concrete Mix, (Mix Ratio, M20 = 1 : 1.5 : 3)

Total Part of the Concrete = 1+1.5+3 = 5.5 Parts

Therefore, Cement Quantity = (Cement Part / Concrete Parts ) * Concrete Volume

= (1/5.5)* Concrete Volume = (1/5.5)*2 = 0.3636 m3

Density of Cement = 1440 kg/ m3 = 0.3636 X 1440 = 523 kg = 10.5 Approx. Bags

Sand Quantity = ( Sand Part / Concrete Parts ) * Concrete Volume = (1.5/5.5) * 2 = 0.5454 m3

Coarse Aggregate = (Coarse Aggregate Part / Concrete Parts ) * Concrete Volume

= (3/5.5) * 2 = 1.09 m3

## Water Cement Ratio

According to IS 10262 (2009), Assuming Water-Cement Ratio for the Concrete as 0.45

Required Amount of Water = W/C Ratio X Cement Volume

Therefore, Water = 0.45 X 0.3636 m= 0.16362 m3

Unit Weight of Water = 1000 litres/m3

Required Amount of Water = 0.16362 X 1000 = 163.62 litres

Therefore, we need 10.5 bags of cement, 0.5454 m3 of sand, 1.09 m3 of Coarse aggregates and 163.62 litres of water.

## Concrete Ingredients Calculator

Hope you enjoyed the content.

Happy Learning 🙂