---
title: "Materials: 10 m³ brick 1:6, 10 m³ PCC 1:3:6"
subject: "Estimating and Costing"
chapter: 4
key: "semester_7/estimating_and_costing:materials-brick-pcc-10m3-s"
source: https://www.bctengineer.com/q/semester_7/estimating_and_costing/materials-brick-pcc-10m3-s
site: BCT Engineering
---

# Materials: 10 m³ brick 1:6, 10 m³ PCC 1:3:6

Estimating and Costing · Chapter 4: Analysis of Rates

- Asked in: 2067 Asar (old course), 4×2 marks
- Video: [quantity estimation for M10(1:3:6) grade concrete in 1 cubic meter|Quantity of cement,sand,aggreagte](https://www.youtube.com/watch?v=W2H12qFCLxU) — Civillogy (Study of Civil Engineering)
- 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-pcc-10m3-s
- Whole chapter: https://www.bctengineer.com/md/semester_7/estimating_and_costing/chapter-4

## Question

Calculate the quantities of materials required for the following works: i) 10 m³ brick masonry in 1:6 cement mortar ii) 10 m³ PCC (1:3:6) in foundation.

## Short answer

i) 10 m³ brickwork 1:6 (brick 230x110x55 mm, 10 mm joint): 5,342 bricks, 13.4 bags cement, 2.79 m³ sand. ii) 10 m³ PCC 1:3:6: dry factor 1.54, cement 44.4 bags, sand 4.62 m³, aggregate 9.24 m³.

## Answer

Assumptions: dry volume 1.54 × wet for concrete and 1.27 × wet for mortar; 1 m³ cement = 28.8 bags. The brick size is not given, so 230 × 110 × 55 mm with 10 mm joints is taken.

#### (i) 10 m³ brickwork in 1:6 mortar

- 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
- 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

#### (ii) 10 m³ PCC (1:3:6)

- Wet volume $= 10.000$ m³; dry volume $= 1.54 \times 10.000 = 15.400$ m³ (sum of ratio $= 10$)
- Cement $= 1/10 \times 15.400 = 1.540$ m³ $= 1.540 \times 28.8 = 44.4$ bags (50 kg)
- Sand $= 3/10 \times 15.400 = 4.620$ m³
- Coarse aggregate $= 6/10 \times 15.400 = 9.240$ m³

**Answer: (i) bricks 5,342, cement 13.4 bags, sand 2.79 m³. (ii) cement 44.4 bags, sand 4.62 m³, aggregate 9.24 m³.**

## Check yourself

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

1. How are the bricks for 10 m3 of brickwork calculated (brick 230x110x55, 10 mm joints)?
   A. Divide 1 m3 by the volume of one brick with mortar (0.24 x 0.12 x 0.065) = 534.19 per m3, then multiply by 10
   B. Divide 1 m3 by the volume of the brick without mortar
   C. Divide 10 m3 by 0.25 x 0.12 x 0.07 only for the first course
   D. Multiply the wall area by the number of courses only
   Answer: A. The mortar-inclusive brick size gives 534.19 bricks per m3, so 5,342 for 10 m3. (Key point: Bricks per m3)

2. How is the dry mortar for the 1:6 brickwork worked out?
   A. Dry mortar = 1.54 x wet; cement is 1/6 of it
   B. Wet mortar = 1 - brick-only volume, x10; dry = 1.27 x wet = 3.26 m3; cement is 1/7 of it
   C. Dry mortar = wet mortar; cement is 1/6 of it
   D. Dry mortar = 1.27 x wet; cement is 1/6 and sand 6/6
   Answer: B. Mortar uses 1.27 dry factor and sum of ratio 1+6 = 7, giving cement 0.466 m3 = 13.4 bags and sand 2.79 m3. (Key point: Mortar from brickwork)

3. For 10 m3 of PCC 1:3:6, what is the dry volume and cement quantity?
   A. Dry volume 12.7 m3; cement 1.27 m3
   B. Dry volume 15.40 m3; cement 1/3 of it
   C. Dry volume 15.40 m3; cement 1/10 of it = 1.54 m3 = 44.4 bags
   D. Dry volume 10 m3; cement 1.0 m3 = 28.8 bags
   Answer: C. Concrete uses 1.54 dry factor and sum of ratio 10; 1.54 m3 x 28.8 = 44.4 bags. (Key point: Concrete dry factor)

## Close variants set in other exams

- [Materials: 10 m³ brick 1:4, 100 m³ PCC 1:3:6](https://www.bctengineer.com/question.md?key=semester_7%2Festimating_and_costing%3Amaterials-brick-pcc-v) — Estimating and Costing, chapter 4, asked 2×

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- [Well foundation: excavation, sinking, brick, PCC curb](https://www.bctengineer.com/question.md?key=semester_7%2Festimating_and_costing%3Awell-foundation-d-four-items) — Estimating and Costing, chapter 6, asked 2×
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