Concrete Mix Calculation (1:2:4) – Material Quantity for 1m³

 📌 Introduction

This note explains how to calculate the quantity of cement, sand, and aggregate required for 1 cubic meter of concrete using a nominal mix ratio of 1:2:4. It is widely used in basic construction and civil engineering works.

📖 Given Data

Mix Ratio = 1 : 2 : 4

Sum of Ratio = 7

Wet Volume = 1 m³

Dry Volume Factor = 1.54

🧮 Calculation Steps

Step 1: Dry Volume

Dry volume =

1 × 1.54 = 1.54 m³

Step 2: Material Proportion

🔹 Cement

(1 / 7) × 1.54 = 0.22 m³

Weight = 0.22 × 1440 = 316.8 kg

No. of bags = 316.8 / 50 = 6.33 bags

🔹 Sand

(2 / 7) × 1.54 = 0.44 m³

Weight ≈ 704 kg

🔹 Aggregate

(4 / 7) × 1.54 = 0.88 m³

Weight ≈ 1584 kg

✅ Final Result

Cement = 6.33 bags

Sand = 0.44 m³ (≈ 704 kg)

Aggregate = 0.88 m³ (≈ 1584 kg)

⚙️ Important Notes

Dry volume factor (1.54) accounts for voids and shrinkage

Values may vary slightly based on site conditions

Proper mixing and curing are essential

🧠 Uses

Estimation of materials

Site execution work

Quantity surveying

Civil engineering exams

📚 Conclusion

This method helps in accurately calculating material requirements for concrete. It ensures proper planning, cost estimation, and quality construction.