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[Samson Adebowale]

Let’s itemize the processes involved in determining the correct mix ratio to derive thirty 6″ solid blocks from a 50 kg bag of Dangote Cement. We shall follow the guidelines which you provided to us.

Step 1: Determine the Volume of Blocks

1. The size of each block is 6″ x 6″ x 12″ (0.5 ft x 0.5 ft x 1 ft).
2. Calculate the volume of one block:
   • Volume = Length × Width × Height = 0.5 ft × 0.5 ft × 1 ft = 0.25 cubic feet.
   • Convert to meters: 0.25 ft³ ≈ 0.0071 m³.
3. Total volume for 30 blocks:
   • Total Volume = Volume of One Block × Number of Blocks = 0.0071 m³ × 30 = 0.213 m³.

Step 2: Calculate the Amount of Cement and Sand

We’ll use a standard 1:6 ratio (1 part cement to 6 parts sand) for solid blocks:

1. Total parts = 1 (cement) + 6 (sand) = 7 parts.
2. Volume of cement:
   • Cement Volume = Total Volume / Total Parts × 1 = 0.213 m³ / 7 ≈ 0.0304 m³.
3. Volume of sand:
   • Sand Volume = Total Volume / Total Parts × 6 = 0.213 m³ / 7 × 6 ≈ 0.1826 m³.

Step 3: Convert Volumes to Weight

1. Density of cement: Approximately 1,505 kg/m³.
2. Density of sand: Approximately 1,600 kg/m³.
   • Weight of cement:
     • Weight of Cement = Volume of Cement × Density of Cement
     • Weight ≈ 0.0304 m³ × 1,505 kg/m³ ≈ 45.8 kg.
   • Weight of sand:
     • Weight of Sand = Volume of Sand × Density of Sand
     • Weight ≈ 0.1826 m³ × 1,600 kg/m³ ≈ 292 kg.

Step 4: Water Content

The amount of water can vary, but a common guideline is to use about 0.5 times the weight of the cement:

• Water = 0.5 × Weight of Cement = 0.5 × 45.8 kg ≈ 22.9 kg.

Step 5: Head-Pan Measurement

Assuming a standard head-pan holds about 20 liters of sand and cement, and considering the densities:

1. Cement:
   • 1 head-pan of cement weighs about 20 kg.
   • Amount of cement needed: approximately 45.8 kg.
   • Head-pans of Cement = 45.8 kg / 20 kg/pan ≈ 2.29 head-pans (approximately 3 head-pans).
2. Sand:
   • Amount of sand needed: approximately 292 kg.
   • Head-pans of Sand = 292 kg / 20 kg/pan ≈ 14.6 head-pans (approximately 15 head-pans).

Summary of Mix Ratios for 30 Blocks

• Cement: Approximately 3 head-pans (about 45.8 kg).
• Sand: Approximately 15 head-pans (about 292 kg).
• Water: Approximately 22.9 kg (or about 22.9 liters).

Final Mix Ratio

A good mix would be:

• Cement: Sand: Water = 1:6:0.5

This mix should yield solid blocks with good strength and durability. Adjustments might still be needed based on local conditions.

 

Happy block-making! ️✨

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