---
title: "Brick (1:6) materials; PCC (1:2:4) rate"
subject: "Estimating and Costing"
chapter: 4
key: "semester_7/estimating_and_costing:materials-brick-1-6-and-pcc-rate"
source: https://www.bctengineer.com/q/semester_7/estimating_and_costing/materials-brick-1-6-and-pcc-rate
site: BCT Engineering
---

# Brick (1:6) materials; PCC (1:2:4) rate

Estimating and Costing · Chapter 4: Analysis of Rates

- Asked in: 2074 Chaitra, 14+6 marks
- Video: [RATE ANALYSIS OF PCC(1:2:4) | ESTIMATING -I 4TH SEM || 8 MARKS NUMERICAL @Er.dipesh186](https://www.youtube.com/watch?v=kFLlGiZ4i8I) — Er. Dipesh Bhatt
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_7/estimating_and_costing/materials-brick-1-6-and-pcc-rate
- Whole chapter: https://www.bctengineer.com/md/semester_7/estimating_and_costing/chapter-4

## Question

Workout quantities of materials required in brickwork (consider brick size 230 mm × 110 mm × 55 mm and mortar joint thickness as 10 mm) in cement mortar (1:6). Prepare rate analysis of plain cement concrete (1:2:4). Assume suitable rates of labor and materials.

## Short answer

Per m³ brickwork: 535 bricks, 1.34 bags cement, 0.279 m³ sand. For 10 m³: 5,342 bricks, 13.4 bags cement, 2.79 m³ sand. PCC 1:2:4 rate: NPR 24,982.50 per m³ (cement 6.336 bags, sand 0.44 m³, aggregate 0.88 m³, overhead & profit 15%+10%).

## Answer

Assumptions: dry volume = 1.54 × wet volume for concrete and 1.27 × wet volume for mortar; 1 m³ of cement = 28.8 bags of 50 kg; no wastage is added. No volume of brickwork is given, so the quantities are worked per 1 m³ and per 10 m³ (multiply for the actual volume).

#### Part 1: Quantities of materials for brickwork (brick 230 × 110 × 55 mm, joint 10 mm, mortar 1:6)

**Per 1 m³ of brickwork**
- Brick with mortar $= 0.240 \times 0.120 \times 0.065 = 1872.0\times 10^{-6}$ m³; bricks per m³ $= 1/1872.0\times10^6 = 534.19$
- Bricks for 1.00 m³ $= 534.19 \times 1.00 = 534$ nos (say 535)
- Volume of bricks only $= 0.230\times0.110\times0.055 = 1391.5\times10^{-6}$ m³ each; wet mortar per m³ $= 1 - 534.19\times1391.5\times10^{-6} = 0.2567$ m³
- Wet mortar for 1.00 m³ $= 0.257$ m³; dry $= 1.27\times0.257 = 0.326$ m³
- Cement $= 1/7\times0.326 = 0.047$ m³ $= 1.3$ bags
- Sand $= 6/7\times0.326 = 0.279$ m³

**Per 10 m³ of brickwork**
- Brick with mortar $= 0.240 \times 0.120 \times 0.065 = 1872.0\times 10^{-6}$ m³; bricks per m³ $= 1/1872.0\times10^6 = 534.19$
- Bricks for 10.00 m³ $= 534.19 \times 10.00 = 5,342$ nos (say 5,342)
- Volume of bricks only $= 0.230\times0.110\times0.055 = 1391.5\times10^{-6}$ m³ each; wet mortar per m³ $= 1 - 534.19\times1391.5\times10^{-6} = 0.2567$ m³
- Wet mortar for 10.00 m³ $= 2.567$ m³; dry $= 1.27\times2.567 = 3.260$ m³
- Cement $= 1/7\times3.260 = 0.466$ m³ $= 13.4$ bags
- Sand $= 6/7\times3.260 = 2.794$ m³

**Answer: per m³ of brickwork about 535 bricks, 1.34 bags cement and 0.279 m³ sand; per 10 m³: 5,342 bricks, 13.4 bags cement and 2.79 m³ sand.**

#### Part 2: Rate analysis of PCC (1:2:4) per m³

Rates and labour norms below are illustrative (DUDBC-style norms; use the current District Rate and norms of the project area for a real estimate): cement NPR 1,000/bag, sand NPR 3,500/m³, 20 mm aggregate NPR 4,500/m³, skilled labour NPR 1,500/day, unskilled labour NPR 1,100/day, water lump sum, contractor's overhead 15% and profit 10% on direct cost (VAT excluded).

- Dry volume $= 1.54$ m³; cement $= 1/7\times1.54 = 0.2200$ m³ $= 6.336$ bags; sand $= 2/7 \times 1.54 = 0.4400$ m³; aggregate $= 4/7\times1.54 = 0.8800$ m³
- Labour: 1.0 skilled and 6.0 unskilled days per m³.

| Item | Qty | Unit | Rate (NPR) | Amount (NPR) |
|---|---:|---|---:|---:|
| Cement | 6.336 | bag | 1,000.00 | 6,336.00 |
| Sand | 0.4400 | m³ | 3,500.00 | 1,540.00 |
| Coarse aggregate | 0.8800 | m³ | 4,500.00 | 3,960.00 |
| Skilled labour | 1.000 | day | 1,500.00 | 1,500.00 |
| Unskilled labour | 6.000 | day | 1,100.00 | 6,600.00 |
| Water and curing (lump) | 1 | LS | 50.00 | 50.00 |
| **Direct cost** | | | | **19,986.00** |
| Contractor's overhead @ 15% | | | | 2,997.90 |
| Contractor's profit @ 10% | | | | 1,998.60 |
| **Total (rate per m³)** | | | | **24,982.50** |

**Rate of PCC (1:2:4) = NPR 24,982.50 per m³.**

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. Why per 1 m^3 and 10 m^3?
   A. The brick size is unknown
   B. Mortar ratio is unknown
   C. No brickwork volume is given
   D. IOE requires it
   Answer: C. Quantities scale with volume. (Key point: Volume basis)

2. Bricks per m^3 for 230x110x55 with 10 mm joint?
   A. About 678
   B. About 534 (1/(0.24x0.12x0.065))
   C. About 450
   D. About 1,000
   Answer: B. The 240x120x65 mm unit includes joints. (Key point: Bricks per m^3)

3. Cement per m^3?
   A. About 1.3 bags (1/7 of dry 0.326 m^3)
   B. About 13 bags
   C. About 2.0 bags
   D. About 0.9 bags
   Answer: A. Dry = 1.27 x 0.257. (Key point: Cement 1:6)

4. Rate for PCC 1:2:4 per m^3?
   A. NPR 19,986
   B. NPR 23,975.32
   C. NPR 2,498.25
   D. NPR 24,982.50
   Answer: D. Direct 19,986 + 15% + 10%. (Key point: PCC rate)

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