To calculate the materials needed for 1 cubic meter of concrete with a compressive strength of 20 N/mm^2 and a mix ratio of 1:1.5:3 for cement:sand:aggregate: Calculate the dry volume of the concrete which is 1.54 cubic meters. Use the mix ratios and dry volume to calculate the volume of cement as 0.28 cubic meters, sand as 0.42 cubic meters, and aggregates as 0.84 cubic meters. Then use the densities of each material to convert the volumes to weights in kilograms and bags or cubic feet. The totals should add up to the original 1 cubic meter of concrete.

1. How to calculate cement, sand,
and aggregates in concrete

2. How to calculate cement, sand, and aggregates in concrete
• Density of cement = 1440 kg/m3
• Desity of Sand = 1450-1500 kg/m3
• Density of Aggregate = 1450-1550 kg/m3
• 1 Bag of cement = 50 kg
• 1 Bag of cement = 34.7 liters
• 1 Bag of cement = 0.0347 cubic meter
• Specific gravity of cement = 3.15
Where 33, 43, 53, compressive strength of cement in N/mm2

3. How to calculate cement, sand, and aggregates in concrete
Consider volume of concrete = 1m3 M-20 = 1:1.5:3 = 5.5
cement:sand:aggregates
Where, M = Mix 20 = characteristic compressive strength
Dry volume of concrete = 1 ×1.5 = 1.54m3
Cement =
1
5.5
×1.54 = 0.28𝑚3
Density of cement is 1440/𝑚3
= 0.28 × 1440 = 403.2 kg
We have each bag of cement is 50 kg
=
403.2
50
= 8 Bags
We know in one bag of cement = 1.226 CFT
= 8 × 1.226 = 9.8 CFT

4. How to calculate cement, sand, and aggregates in concrete
Consider volume of concrete = 1m3 M-20 = 1:1.5:3 = 5.5
cement:sand:aggregates
Where, M = Mix 20 = characteristic compressive strength
Sand =
1.5
5.5
×1.54 = 0.42𝑚3
Density of sand is 1450/𝑚3
=0.42 ×1450= 609 kg/𝑚3
As we know that 1𝑚3 = 35.31 CFT
=0.42 × 35.31 = 14.83 CFT

5. How to calculate cement, sand, and aggregates in concrete
Consider volume of concrete = 1m3 M-20 = 1:1.5:3 = 5.5
cement:sand:aggregates
Where, M = Mix 20 = characteristic compressive strength
Aggregates=
3
5.5
×1.54 = 0.84𝑚3
Density of aggregates is 1500/𝑚3
=0.84 ×1500= 1260 kg/𝑚3
As we know that 1𝑚3 = 35.31 CFT
=0.84 × 35.31 = 29.66 CFT
To verify the calculation we can add 0.28𝑚3
+0.42𝑚3
+0.84𝑚3
= 1.54m3