For 12 mm thick cement plaster in proportion 1 : 6 applied over 100 m^2 of new brickwork, estimate the quantity of cement required (express the answer in cubic metres of loose cement, considering standard allowances).

Introduction / Context:Estimating mortar for plaster involves converting the specified thickness and area into a wet volume, then applying a dry-volume allowance to account for bulking, voids, and handling losses. The cement portion is then extracted from the mix proportion (1 : 6 means 1 part cement to 6 parts sand by volume).

Given Data / Assumptions:

• Area A = 100 m^2, plaster thickness t = 12 mm = 0.012 m.
• Mix proportion = 1 : 6 (cement : sand) → total parts = 7.
• Standard allowance: adopt an overall dry-volume factor such that dry volume ≈ 1.4 × wet volume (accounts for bulking and contingencies on new work).
• Reasonable rounding to typical schedule-of-rates practice.

Concept / Approach:Wet mortar volume = Area × Thickness. Dry volume = wet volume × factor (≈ 1.4 for plastering to include bulking and normal wastage). Cement quantity (loose volume) = (1 / total parts) × dry volume. This method aligns with standard building estimation procedures used in practice and textbooks.

Step-by-Step Solution:1) Wet volume V_wet = A * t = 100 * 0.012 = 1.20 m^3.2) Dry volume V_dry ≈ 1.4 * V_wet = 1.4 * 1.20 = 1.68 m^3.3) Cement fraction = 1 / (1 + 6) = 1 / 7.4) Cement quantity = V_dry / 7 = 1.68 / 7 ≈ 0.24 m^3 ≈ 0.247 m^3 (rounded to listed option).

Verification / Alternative check:Using a slightly different factor (e.g., 1.33) plus a small percentage for waste/unevenness leads to a similar cement volume near 0.24–0.25 m^3, consistent with the selected option.

Why Other Options Are Wrong:

• 0.200 m^3: Too low; would correspond to an unrealistically small dry-volume allowance.
• 0.274 m^3 and 0.295 m^3: Higher than typical; imply larger-than-standard allowances for this thickness and area.

Common Pitfalls:

• Forgetting to convert thickness from millimetres to metres.
• Omitting the dry-volume/wastage allowance, which underestimates cement markedly.

Final Answer:0.247 m3.