How to Calculate Cement Sand & Aggregate Quantity in Concrete

For a circular column, its volume can be calculated by using formula πr2h which will also give volume in unit3.

Let’s talk about concrete grade ratio.

For M10 – 1 part of cement, 3 part of sand 6 part of aggregate
For M 15 – 1 part of cement, 2 part of sand and 4 part of aggregate
For M20 – 1 part of cement, 1.5 part of sand and 3 part of aggregate
For M25 – 1 part of cement, 1 part of sand and 2 part of aggregate

Density of materials

Cement – 1440 kg/m3
Dry Sand – 1540 to 1600 kg/m3
Aggregate – 1560 to 1600 kg/m3

Wet to Dry Conversion

Dry Volume = Wet Volume + 54% of wet volume Dry Volume = Wet Volume x 1.54

How to calculate quantity for 10 cubic meter concrete

We have been given Grade – M15 and we have to calculate the quantity of cement, sand and aggregate in cft, cum and kg.
Volume = 10 cubic meter
This is wet volume, so we need to convert it into dry volume.

Dry volume = wet volume x 1.54 = 10 x 1.54 = 15.4 cubic meter
We know that the ratio for M15 is 1:2:4
Actual volume = Dry volume/Sum of M15 ratio = 15.4/1 + 2 + 4 = 2.2 cubic meter

Now we must talk about cement:

Actual volume x cement ratio = 2.2 x 1 = 2.2 cubic meter
Actual volume x cement ratio x 35.32 = 2.2 x 1 x 35.31 = 77.68 cubic feet
Actual volume x cement ratio x density = 2.2 x 1 x 1440 = 3168 kg
Actual volume x cement ratio x 28.8 = 2.2 x 1 x 28.8 = 63.36 bag

Now let us calculate sand and aggregate quantity
Actual volume x sand ratio = 2.2 x 2 = 4.4 cubic meter
Actual volume x sand ratio x 35.31 = 155.36 cubic feet
Actual volume x sand ratio x density = 2.2 x 2 x 1540 = 6776 kg

For Aggregate:

Actual volume x Aggregate ratio x 35.31 = 2.2 x 4 x 35.31 = 310 cubic feet
Actual volume x Aggregate ratio x density = 2.2 x 4 x 1600 = 14080 kg
Actual volume x Aggregate ratio = 2.2 x 4 = 8.8 cubic meter