Building Technology  ·  Level 6
Measurement, Estimation And Costing Of Building Works II
Chapter 3: Costing construction projects
📚 4 Topics
⚑ What you will be able to do

By the end of this chapter, you will be able to:

  • apply estimation methods correctly following standard practices to plan your project budget.
  • prepare clear and accurate specifications that match the work requirements.
  • insert rate schedules for construction items using standard costing rates and adjust them for site location.
  • prepare detailed bills of quantities accurately to support project costing and planning.

These skills will help you manage construction costs effectively, ensuring your projects are both successful and profitable in the real trade.

Compiled by: John Wachira

Costing construction projects is a fundamental aspect of building technology that directly affects project feasibility and successful completion. Accurate cost estimation enables contractors, quantity surveyors, and project managers to plan budgets, allocate resources efficiently, and avoid financial losses. In the Kenyan construction environment, where market prices and material availability can fluctuate, using appropriate estimation methods is critical for competitive and realistic project proposals.

3.1 Methods of Estimation

In Kenya’s building industry, selecting the right estimation method depends on project complexity, available data, and time constraints. Estimators commonly use the cubic method, unit cost method, and quantity cost method to align with project types ranging from small residential buildings to large commercial complexes. Understanding these methods ensures precise budgeting and cost control.

3.1.1 Cubic Method

The cubic method estimates construction costs based on the building’s volume in cubic metres. This approach is suitable for preliminary costing when detailed drawings are unavailable but approximate dimensions are known. It assumes a standard cost per cubic metre, which varies with building type, location, and specification levels.

The formula for the cubic method is:

$$ \text{Estimated Cost} = \text{Volume of Building (m}^3) \times \text{Cost per m}^3 $$

Worked Examples

Example 1: Estimate the cost of constructing a single-storey residential building with dimensions 10 m length, 8 m width, and 3 m height. Assume the cost per cubic metre is Ksh 15,000.

Given: Length = 10 m, Width = 8 m, Height = 3 m, Cost per m\(^3\) = Ksh 15,000

$$ \text{Volume} = 10 \times 8 \times 3 = 240 \text{ m}^3 $$

$$ \text{Estimated Cost} = 240 \times 15,000 $$

$$ = 3,600,000 \text{ Ksh} $$

Answer: Ksh 3,600,000

Example 2: A two-storey office building has a footprint of 20 m by 15 m and floor-to-floor height of 4 m. Calculate the approximate cost if the cost per cubic metre is Ksh 25,000.

Given: Length = 20 m, Width = 15 m, Height per floor = 4 m, Number of floors = 2, Cost per m\(^3\) = Ksh 25,000

$$ \text{Total Height} = 4 \times 2 = 8 \text{ m} $$

$$ \text{Volume} = 20 \times 15 \times 8 = 2,400 \text{ m}^3 $$

$$ \text{Estimated Cost} = 2,400 \times 25,000 $$

$$ = 60,000,000 \text{ Ksh} $$

Answer: Ksh 60,000,000

Example 3: Estimate the cost of a warehouse with dimensions 30 m length, 25 m width, and 6 m height. The cost per cubic metre is Ksh 10,000.

Given: Length = 30 m, Width = 25 m, Height = 6 m, Cost per m\(^3\) = Ksh 10,000

$$ \text{Volume} = 30 \times 25 \times 6 = 4,500 \text{ m}^3 $$

$$ \text{Estimated Cost} = 4,500 \times 10,000 $$

$$ = 45,000,000 \text{ Ksh} $$

Answer: Ksh 45,000,000

Example 4: A residential block has a volume of 1,200 m\(^3\) and the estimated cost per cubic metre is Ksh 18,500. Calculate the estimated cost.

Given: Volume = 1,200 m\(^3\), Cost per m\(^3\) = Ksh 18,500

$$ \text{Estimated Cost} = 1,200 \times 18,500 $$

$$ = 22,200,000 \text{ Ksh} $$

Answer: Ksh 22,200,000

Example 5: Calculate the estimated cost for a building with volume 3,750 m\(^3\) and cost per cubic metre Ksh 22,000.

Given: Volume = 3,750 m\(^3\), Cost per m\(^3\) = Ksh 22,000

$$ \text{Estimated Cost} = 3,750 \times 22,000 $$

$$ = 82,500,000 \text{ Ksh} $$

Answer: Ksh 82,500,000

3.1.2 Unit Cost Method

The unit cost method estimates the total cost by multiplying the quantities of various building components by their respective unit costs. This method is detailed and suited for projects with available design drawings and specifications. It allows more accuracy than the cubic method by breaking down the building into measurable elements.

The general formula is:

$$ \text{Estimated Cost} = \sum (\text{Quantity of Element} \times \text{Unit Cost of Element}) $$

Worked Examples

Example 1: Calculate the cost of flooring for a building with 150 m\(^2\) floor area. The unit cost of floor finishing is Ksh 2,500 per m\(^2\).

Given: Floor area = 150 m\(^2\), Unit cost = Ksh 2,500/m\(^2\)

$$ \text{Cost} = 150 \times 2,500 $$

$$ = 375,000 \text{ Ksh} $$

Answer: Ksh 375,000

Example 2: Estimate the cost of wall construction for 200 m\(^2\) area with unit cost Ksh 3,800 per m\(^2\).

Given: Wall area = 200 m\(^2\), Unit cost = Ksh 3,800/m\(^2\)

$$ \text{Cost} = 200 \times 3,800 $$

$$ = 760,000 \text{ Ksh} $$

Answer: Ksh 760,000

Example 3: For a building, the quantities and unit costs are:

  • Roof area: 120 m\(^2\), unit cost Ksh 4,500/m\(^2\)
  • Wall area: 180 m\(^2\), unit cost Ksh 3,800/m\(^2\)
  • Floor area: 120 m\(^2\), unit cost Ksh 2,500/m\(^2\)

Calculate total estimated cost.

Given:

Roof area = 120 m\(^2\), Unit cost = Ksh 4,500/m\(^2\)

Wall area = 180 m\(^2\), Unit cost = Ksh 3,800/m\(^2\)

Floor area = 120 m\(^2\), Unit cost = Ksh 2,500/m\(^2\)

$$ \text{Roof cost} = 120 \times 4,500 = 540,000 \text{ Ksh} $$

$$ \text{Wall cost} = 180 \times 3,800 = 684,000 \text{ Ksh} $$

$$ \text{Floor cost} = 120 \times 2,500 = 300,000 \text{ Ksh} $$

$$ \text{Total cost} = 540,000 + 684,000 + 300,000 = 1,524,000 \text{ Ksh} $$

Answer: Ksh 1,524,000

Example 4: A contractor is estimating costs for plastering 250 m\(^2\) of walls at Ksh 600 per m\(^2\), painting 250 m\(^2\) at Ksh 350 per m\(^2\), and tiling 100 m\(^2\) at Ksh 1,200 per m\(^2\). Find total cost.

Given:

Plastering area = 250 m\(^2\), Unit cost = Ksh 600/m\(^2\)

Painting area = 250 m\(^2\), Unit cost = Ksh 350/m\(^2\)

Tiling area = 100 m\(^2\), Unit cost = Ksh 1,200/m\(^2\)

$$ \text{Plastering cost} = 250 \times 600 = 150,000 \text{ Ksh} $$

$$ \text{Painting cost} = 250 \times 350 = 87,500 \text{ Ksh} $$

$$ \text{Tiling cost} = 100 \times 1,200 = 120,000 \text{ Ksh} $$

$$ \text{Total cost} = 150,000 + 87,500 + 120,000 = 357,500 \text{ Ksh} $$

Answer: Ksh 357,500

Example 5: Calculate the estimated cost for a building with the following elements:

  • Doors: 10 units at Ksh 15,000 each
  • Windows: 20 units at Ksh 8,000 each
  • Electrical outlets: 50 units at Ksh 3,500 each

Given:

Doors = 10 units, Unit cost = Ksh 15,000

Windows = 20 units, Unit cost = Ksh 8,000

Electrical outlets = 50 units, Unit cost = Ksh 3,500

$$ \text{Doors cost} = 10 \times 15,000 = 150,000 \text{ Ksh} $$

$$ \text{Windows cost} = 20 \times 8,000 = 160,000 \text{ Ksh} $$

$$ \text{Electrical outlets cost} = 50 \times 3,500 = 175,000 \text{ Ksh} $$

$$ \text{Total cost} = 150,000 + 160,000 + 175,000 = 485,000 \text{ Ksh} $$

Answer: Ksh 485,000

3.1.3 Quantity Cost Method

The quantity cost method involves detailed measurement of quantities of materials, labour, and plant, multiplying each by respective rates to derive the total project cost. This method provides the most accurate estimate and is suitable for tendering and cost control. It requires comprehensive bills of quantities and current market rates.

The formula is:

$$ \text{Total Cost} = \sum (\text{Quantity} \times \text{Rate}) $$

where quantity and rate cover materials, labour, and equipment.

Worked Examples

Example 1: Calculate the cost of 500 bags of cement priced at Ksh 700 each.

Given: Quantity = 500 bags, Rate = Ksh 700/bag

$$ \text{Cost} = 500 \times 700 $$

$$ = 350,000 \text{ Ksh} $$

Answer: Ksh 350,000

Example 2: Labour cost for plastering 300 m\(^2\) walls at Ksh 250 per m\(^2\).

Given: Quantity = 300 m\(^2\), Rate = Ksh 250/m\(^2\)

$$ \text{Cost} = 300 \times 250 $$

$$ = 75,000 \text{ Ksh} $$

Answer: Ksh 75,000

Example 3: Estimate the cost of 2,000 bricks at Ksh 80 each and labour for laying bricks at Ksh 150 per 100 bricks.

Given: Bricks quantity = 2,000, Rate = Ksh 80/brick

Labour rate = Ksh 150 per 100 bricks

$$ \text{Materials cost} = 2,000 \times 80 = 160,000 \text{ Ksh} $$

$$ \text{Labour cost} = \frac{2,000}{100} \times 150 = 20 \times 150 = 3,000 \text{ Ksh} $$

$$ \text{Total cost} = 160,000 + 3,000 = 163,000 \text{ Ksh} $$

Answer: Ksh 163,000

Example 4: Calculate total cost for:

  • 100 bags of cement at Ksh 700 each
  • 5 labourers working 10 days at Ksh 1,200 per day each
  • 2 mixers hired for 5 days at Ksh 3,000 per day each

Given:

Cement: 100 bags, Ksh 700/bag

Labour: 5 workers, 10 days, Ksh 1,200/day

Mixers: 2 units, 5 days, Ksh 3,000/day

$$ \text{Cement cost} = 100 \times 700 = 70,000 \text{ Ksh} $$

$$ \text{Labour cost} = 5 \times 10 \times 1,200 = 60,000 \text{ Ksh} $$

$$ \text{Mixer cost} = 2 \times 5 \times 3,000 = 30,000 \text{ Ksh} $$

$$ \text{Total cost} = 70,000 + 60,000 + 30,000 = 160,000 \text{ Ksh} $$

Answer: Ksh 160,000

Example 5: Calculate the total cost of the following:

  • Sand: 15 m\(^3\) at Ksh 3,000/m\(^3\)
  • Gravel: 10 m\(^3\) at Ksh 4,500/m\(^3\)
  • Labour: 8 workers for 12 days at Ksh 1,000 per day

Given:

Sand: 15 m\(^3\), Ksh 3,000/m\(^3\)

Gravel: 10 m\(^3\), Ksh 4,500/m\(^3\)

Labour: 8 workers, 12 days, Ksh 1,000/day

$$ \text{Sand cost} = 15 \times 3,000 = 45,000 \text{ Ksh} $$

$$ \text{Gravel cost} = 10 \times 4,500 = 45,000 \text{ Ksh} $$

$$ \text{Labour cost} = 8 \times 12 \times 1,000 = 96,000 \text{ Ksh} $$

$$ \text{Total cost} = 45,000 + 45,000 + 96,000 = 186,000 \text{ Ksh} $$

Answer: Ksh 186,000

Practice Questions

  1. Estimate the cost of a building with volume 1,500 m\(^3\) if the cost per cubic metre is Ksh 20,000. (5 marks)
  2. A contractor needs to estimate the cost of painting 400 m\(^2\) of walls at Ksh 300 per m\(^2\) and tiling 150 m\(^2\) at Ksh 1,500 per m\(^2\). Calculate the total cost. (6 marks)
  3. Calculate the total cost for 1,200 bricks at Ksh 75 each and laying labour at Ksh 200 per 100 bricks. (6 marks)
  4. A project requires 50 bags of cement at Ksh 700 each, 6 labourers working 8 days at Ksh 1,000 per day, and 1 mixer hired for 7 days at Ksh 2,500 per day. Find the total cost. (7 marks)
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🔒3.2 Specification preparations

Specification preparation is a critical step in costing construction projects because it defines the quality and standards of materials and workmanship to be used. In the Kenyan building industry, clear and precise specifications ensure that contractors unders…

🔒3.3 Rate schedule preparation

Rate schedule preparation is essential for cost estimation, pricing, and budgeting in building projects. It involves compiling unit rates for materials, labour, plant, and overheads to arrive at comprehensive costs. In Kenya, rate schedules reflect local marke…

🔒3.4 Bill of quantities

In Kenyan building projects, the bill of quantities (BOQ) is an essential document that itemizes all materials, labour, and works required for construction. It provides a detailed breakdown of quantities and rates, enabling accurate cost estimation and tenderi…

Chapter Summary

This chapter covered the essential methods of estimation used in construction projects, including the cubic method, unit cost method, and quantity cost method, each offering different approaches to calculating project costs. The preparation of specifications was detailed, emphasizing the importance of clearly defining material requirements and workmanship standards to ensure quality and consistency. The process of preparing a rate schedule was explained as a critical step in organizing and standardizing unit costs for various construction activities. Finally, the chapter addressed the compilation of the bill of quantities, which serves as a comprehensive document listing all materials, labor, and costs required for the project, facilitating accurate tendering and project management. Understanding these components is fundamental for effective cost control and successful project delivery in building works.

Self-Assessment

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Written Assessment

  1. A rectangular foundation has dimensions 5 m by 3 m and a depth of 0.5 m. Using the cubic method, calculate the volume of concrete required in cubic metres. (2 marks)

  2. A wall requires 50 square metres of plastering. If the unit cost of plastering per square metre is Ksh 450, estimate the total cost. (2 marks)

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Chapter Examination Questions

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SECTION A (40 Marks) - Answer ALL Questions

  1. Using the cubic method, estimate the cost of a reinforced concrete slab with a volume of 12 m³ if the average cost per cubic meter is Ksh 15,000. (4 marks)
  2. Explain how unit cost estimation is applied in the costing of wall finishes in a residential building. (4 marks)
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Am I competent?

At the start of this chapter we promised you would be able to:

  • apply estimation methods correctly following standard practices to plan your project budget.
  • prepare clear and accurate specifications that match the work requirements.
  • insert rate schedules for construction items using standard costing rates and adjust them for site location.
  • prepare detailed bills of quantities accurately to support project costing and planning.

Tick each one you can genuinely do.

So, are you there yet?

You're competent when you can confidently do 50% or more of what this chapter promised.

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