Plain Cement Concrete (P.C.C.) is a vital element in construction. Knowing how to calculate its quantity ensures cost-effective and efficient work. When dealing with a triangular shape, precision matters.
Given Data for the Triangular Slab
Thickness: 100mm (0.100m)
Base (b): 25m
Altitude (a): 25m
Step 1: Calculate the Volume of P.C.C.
The first step is to determine the wet volume.
Formula:
Volume = 1/2 x Base x Altitude x Thickness
Calculation:
1/2 x 25 x 25 x 0.100 = 31.25 m³
This value represents the wet volume of the P.C.C. slab.
Step 2: Convert Wet Volume to Dry Volume
For mixing, the dry volume is needed. It accounts for shrinkage and wastage.
Formula:
Dry Volume = Wet Volume x 1.54
Calculation:
31.25 x 1.54 = 48.125 m³
Step 3: Calculate Cement Quantity
The mix ratio provided is 1:4:8 (Cement: sand: aggregate). The sum of the ratio is 13.
Cement Calculation:
Cement = (1/13) x 48.125 = 3.701 m³
Convert Cement Volume to Weight
Density of Cement = 1440 kg/m³
3.701 x 1440 = 5330.76 kg
Convert Weight to Bags
Each cement bag weighs 50 kg.
5330.76 ÷ 50 = 106.61 bags ≈ 107 bags
Step 4: Calculate Sand Quantity
Sand Calculation:
Sand = (4/13) x 48.125 = 14.807 m³
Convert Sand Volume to Cubic Feet
1 m³ = 35.31 cft
14.807 x 35.31 = 522.92 cft
Step 5: Calculate Aggregate Quantity
Aggregate Calculation:
Aggregate = (8/13) x 48.125 = 29.615 m³
Convert Aggregate Volume to Cubic Feet
29.615 x 35.31 = 1045.85 cft
Final Quantities Summary
Cement: 5330.76 kg (107 bags)
Sand: 522.92 cft
Aggregate: 1045.85 cft
Click Here To See How To Calculate The Quantity Of Cement, Sand, And Bricks For 1 Cubic Meter
