Materials quantity — cement for 100 m² CC floor, 1:2:4 mix, 4 cm thick: Estimate the quantity of cement (in cubic metres, based on dry volume method) required for a 100 m² floor laid in cement concrete 1:2:4, thickness 4 cm.

Difficulty: Medium

Correct Answer: 0.90 m3

Explanation:


Introduction / Context:
For floor concreting, material quantities are often computed from mix proportion by volume, converting finished (wet) concrete volume into dry volume to account for voids and wastage. Cement content then follows from the proportion of total parts.


Given Data / Assumptions:

  • Area = 100 m², thickness = 4 cm = 0.04 m.
  • Wet concrete volume V_wet = area * thickness.
  • Mix = 1 : 2 : 4 (cement : sand : coarse aggregate) ⇒ total parts = 7.
  • Dry volume factor ≈ 1.54 (common practice for estimation).


Concept / Approach:

Compute wet volume, convert to dry volume using a multiplying factor, then take cement share as 1/7 of the dry volume. Convert to cubic metres of cement (before bag conversion if needed).


Step-by-Step Solution:

1) V_wet = 100 * 0.04 = 4.00 m³.2) Dry volume V_dry = 1.54 * 4.00 = 6.16 m³.3) Cement volume = (1 / 7) * 6.16 = 0.88 m³ (≈ 0.90 m³ when rounded for BOQ).4) Rounded estimate corresponds to standard option 0.90 m³.


Verification / Alternative check:

Bag check (optional): Volume per 50 kg bag ≈ 0.035 m³ ⇒ 0.88 / 0.035 ≈ 25 bags (approx.), which matches field thumb-rules for a 4 cm topping over 100 m² in 1:2:4.


Why Other Options Are Wrong:

  • 0.94, 0.98, 1.00 m³ imply higher dry factor or different mix; not aligned with standard 1.54 factor and 1:2:4 proportion.


Common Pitfalls:

  • Using wet volume directly to split proportions, underestimating cement.
  • Ignoring wastage and bulking; 1.50–1.54 factor is customary for estimates.


Final Answer:

0.90 m3.

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