---
title: "Aqueduct: excavation, concrete, brick, RCC"
subject: "Estimating and Costing"
chapter: 6
key: "semester_7/estimating_and_costing:aqueduct-v-four-items"
source: https://www.bctengineer.com/q/semester_7/estimating_and_costing/aqueduct-v-four-items
site: BCT Engineering
---

# Aqueduct: excavation, concrete, brick, RCC

Estimating and Costing · Chapter 6: Detailed Estimate

- Asked in: 2065 Shrawan (old course), 15 marks
- Video: [5TH SEM CIVIL ENGINEERING, ECE-II, CH-1, DETAILED ESTIMATE OF BRIDGE AND CULVERT , PART- 6](https://www.youtube.com/watch?v=YgwQkBE8ni0) — Nilachal Polytechnic College Of 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/aqueduct-v-four-items
- Whole chapter: https://www.bctengineer.com/md/semester_7/estimating_and_costing/chapter-6

## Question

Estimate the quantities of the following items of work from the accompanying drawing. (Aqueduct)
a) Earthwork in excavation
b) Cement concrete in foundation
c) Brick work
d) RCC work
[Drawing not included in the scanned paper]

## Short answer

Using length x breadth x depth on assumed dimensions, quantities are Earthwork excavation 40.50 m3, cement concrete 1:3:6 5.76 m3, brickwork 1:6 22.50 m3, and RCC trough 7.13 m3. Substitute actual drawing dimensions in the same format; reinforcement is taken separately.

## Answer

A drawing is not given, so the method is shown on an assumed small aqueduct: a **single-span RCC trough** carrying an irrigation canal over a drain, resting on two brick abutments with four wing walls. All quantities are by the **centre-line / length × breadth × depth** method.

#### Assumed data
- Trough: clear span 6.0 m, bearing 0.3 m each end (length 6.6 m), internal width 2.0 m, depth 1.2 m, walls 0.20 m, bottom slab 0.25 m, so outside width 2.4 m.
- Abutments (2 nos.): length 3.4 m, thickness 0.9 m, height 2.5 m above PCC, in 1:6 brickwork; PCC 1:3:6 bed 4.0 m × 1.5 m × 0.30 m.
- Wing walls (4 nos.): 2.0 m long, mean thickness 0.45 m, mean height 2.0 m; PCC 2.0 m × 0.9 m × 0.30 m.
- Abutment pit depth 1.5 m with 0.3 m working space on each side; wing-wall trench 1.2 m wide, 1.2 m deep.

#### a) Earthwork in excavation
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| Abutment pits (2 nos., working space 0.3 m) | 2 | 4.600 | 2.100 | 1.500 | 28.980 |
| Wing-wall trenches (4 nos.) | 4 | 2.000 | 1.200 | 1.200 | 11.520 |
| **Total** | | | | | **40.500** |

#### b) Cement concrete in foundation (1:3:6)
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| Abutment PCC 1:3:6, 0.30 m thick | 2 | 4.000 | 1.500 | 0.300 | 3.600 |
| Wing-wall PCC 1:3:6 | 4 | 2.000 | 0.900 | 0.300 | 2.160 |
| **Total** | | | | | **5.760** |

#### c) Brick work (1:6 cement sand mortar)
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| Abutment wall, 1:6 brick | 2 | 3.400 | 0.900 | 2.500 | 15.300 |
| Wing walls (mean thickness 0.45, mean height 2.0) | 4 | 2.000 | 0.450 | 2.000 | 7.200 |
| **Total** | | | | | **22.500** |

#### d) RCC work (trough, M20)
| Item | No. | L (m) | B (m) | H/D (m) | Qty (m³) |
|---|---|---|---|---|---|
| Trough bottom slab | 1 | 6.600 | 2.400 | 0.250 | 3.960 |
| Trough side walls | 2 | 6.600 | 0.200 | 1.200 | 3.168 |
| **Total** | | | | | **7.128** |

Reinforcement is then taken separately (about 80–100 kg per m³ of trough concrete as a check).

**Answer:** Excavation = 40.50 m³; PCC = 5.76 m³; brickwork = 22.50 m³; RCC = 7.13 m³ (for the assumed dimensions; substitute the dimensions of the actual drawing in the same format).

Quantities are taken in the usual order: length × breadth × height/depth, in cubic metres (m³) or square metres (m²), with deductions entered as negatives. Rates are not asked; when costing, apply the current District Rate and DUDBC rate-analysis norms of the district.

## Check yourself

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

1. The trough has internal width 2.0 m and walls 0.20 m thick. What outside width is used for the bottom slab?
   A. 2.2 m
   B. 2.4 m
   C. 2.0 m
   D. 2.6 m
   Answer: B. Outside width = 2.0 + 2 x 0.20 = 2.4 m, since a wall lies on each side. (Key point: Outside width of trough)

2. How is the abutment pit size 4.6 m x 2.1 m obtained?
   A. PCC bed 4.0 x 1.5 m plus 0.3 m working space on each side
   B. Abutment 3.4 x 0.9 m plus 0.6 m on each side
   C. Trough 6.6 x 2.4 m minus 2 m
   D. PCC bed 4.0 x 1.5 m plus 0.3 m on one side only
   Answer: A. Working space of 0.3 m is added on each side of the 4.0 x 1.5 m PCC bed: 4.6 x 2.1 m. (Key point: Working space in excavation)

3. Which pair of parts makes up the RCC trough quantity (7.128 m3)?
   A. Bottom slab 6.6 x 2.4 x 0.25 and two side walls 6.6 x 0.20 x 1.2
   B. Abutments and wing walls
   C. Bottom slab only plus PCC beds
   D. Two side walls only, 6.6 x 2.4 x 1.2
   Answer: A. RCC = bottom slab 3.960 m3 + two side walls 3.168 m3 = 7.128 m3. (Key point: RCC components of trough)

4. Why is the trough length 6.6 m when the clear span is 6.0 m?
   A. The wing walls add 0.6 m
   B. Bearing of 0.3 m is added at each end
   C. Working space of 0.3 m is added each end
   D. Walls are 0.2 m thick, so 0.6 m is added
   Answer: B. The trough rests 0.3 m on each abutment, so length = 6.0 + 2 x 0.3 = 6.6 m. (Key point: Trough length)

## Close variants set in other exams

- [Earthwork, concrete, brick, RCC from drawing](https://www.bctengineer.com/question.md?key=semester_7%2Festimating_and_costing%3Adrawing-four-items-s) — Estimating and Costing, chapter 6, asked 2×

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