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newSchoolWorks.com › VoTechWorks › Building & Construction › Masonry › Concrete Flatwork › Lesson 2
BLD-MASO04-09 · Lesson 2 · 10 clock hours · theory

Concrete Materials, Mix Design, and Volume Calculation

Objective. Students will calculate the concrete volume in cubic yards for three different slab configurations and identify key mix-design variables — water-cement ratio, slump, and air entrainment — appropriate to exterior flatwork.

⚠ Pending professional review

This lesson, its worked examples and its practice questions has not yet been verified by a licensed professional engineer or master tradesperson or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.

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Why Concrete Mix Design Matters for Flatwork

Concrete flatwork — driveways, sidewalks, patios, garage floors, and exterior slabs — takes more abuse than almost any other concrete element. It must resist freeze-thaw cycles, deicing salts, heavy loads, and abrasion. Choosing the right materials and mix design from the start is far cheaper than repairing a slab that scales, cracks, or dusts within a few years.

Before you order a single yard of concrete, you need to know two things: what mix the job requires and how much to order. This lesson covers both.

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Concrete Materials

Portland cement concrete is a mixture of four basic components:

Admixtures are added in small quantities to modify specific properties. Air-entraining admixtures are the most important for exterior flatwork because they create microscopic, uniformly spaced air bubbles that give water room to expand when it freezes, dramatically reducing surface scaling.

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Key Mix-Design Variables

Water-Cement Ratio (w/c)

The water-cement ratio is the weight of mix water divided by the weight of cement. It is the single most important variable controlling strength and durability. A lower w/c ratio produces stronger, more durable concrete. Adding extra water to make a mix easier to place is one of the most common and damaging mistakes on a job site. Excess water dilutes the paste, increases porosity, and lowers compressive strength. For exterior flatwork exposed to freezing temperatures and deicing chemicals, the w/c ratio is typically kept low — consult project specifications and applicable code requirements.

Slump

Slump measures workability — how easily fresh concrete flows and consolidates. It is measured with a slump cone: fill the cone in three layers, rod each layer 25 times, lift the cone, and measure how many inches the concrete drops. For most exterior flatwork, a slump of 3 to 5 inches (commonly targeted at 4 inches) is appropriate. A mix that is too wet (high slump) is easier to place but produces weaker, less durable concrete. Never add water to a delivered load to increase slump without understanding that you are reducing the strength and durability of the slab.

Air Entrainment

Air-entrained concrete contains a system of tiny, intentionally introduced air voids. For exterior flatwork in climates subject to freezing and thawing, air entrainment is essential. The target air content and the required w/c ratio for a given exposure condition are specified in building codes and industry standards such as ACI 318. Always check the project specifications — air content that is too high or too low can both cause problems.

Specified Compressive Strength (f'c)

Compressive strength is measured in pounds per square inch (psi) at 28 days. Exterior slabs typically require a minimum specified compressive strength — consult the project specifications and local code for the required value.

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Reading a Ready-Mix Delivery Ticket

Every ready-mix truck arrives with a delivery ticket. You must check it before the truck discharges. Key items to verify:

If the ticket does not match the specifications, contact your supervisor before placing the concrete.

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Calculating Concrete Volume in Cubic Yards

Ready-mix concrete is sold by the cubic yard (27 cubic feet = 1 cubic yard). To calculate volume:

1. Convert all dimensions to feet (thickness in inches ÷ 12).

2. Multiply: Length (ft) × Width (ft) × Thickness (ft) = Volume in cubic feet.

3. Divide by 27 to convert to cubic yards.

4. Add a waste factor (typically 5–10%, commonly 10% for flatwork) to account for uneven subgrade, spillage, and irregular edges.

Formula: Cubic yards = (L × W × T ÷ 27) × (1 + waste factor)

Always round up to the nearest quarter yard when ordering — running short mid-pour creates cold joints that weaken the slab.

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Safety Notes

Fresh concrete is caustic — it can cause serious chemical burns to skin and eyes. Always wear safety glasses and waterproof gloves when handling fresh concrete or admixtures. If concrete contacts your eyes, flush immediately with water and seek medical attention. Wear rubber boots on wet pours; prolonged contact between fresh concrete and skin, even through clothing, can cause burns. Keep the work area clear of trip hazards when operating the slump cone or handling sample buckets.

Key terms8

Water-cement ratio (w/c)The weight of water divided by the weight of cement in a mix; a lower ratio produces stronger, more durable concrete.
SlumpA field measure of concrete workability; the number of inches fresh concrete drops after the slump cone is lifted, measured per ASTM C143 procedure.
Air entrainmentA system of microscopic, uniformly distributed air voids intentionally created by an admixture to improve resistance to freeze-thaw damage and deicing salts.
Compressive strength (f'c)The load-carrying capacity of hardened concrete measured in psi at 28 days; the primary structural design value for concrete.
Cubic yardThe standard unit for ordering ready-mix concrete; equal to 27 cubic feet.
Waste factorA percentage added to the calculated volume to account for spillage, uneven subgrade, and irregular form edges; commonly 5–10% for flatwork.
AdmixtureA material other than cement, water, or aggregate added in small quantities to modify one or more properties of fresh or hardened concrete.
Delivery ticketA document that accompanies every ready-mix load showing mix design, load size, batch time, truck number, and other quality data that must be verified before placement.

Worked examples4

1. Calculate the cubic yards of concrete needed for a slab 20 ft long, 12 ft wide, and 4 inches thick. Include a 10% waste factor.
  1. Convert thickness to feet: 4 in ÷ 12 = 0.333 ft
  2. Calculate volume in cubic feet: 20 ft × 12 ft × 0.333 ft = 80 cu ft
  3. Convert to cubic yards: 80 ÷ 27 = 2.963 cu yd
  4. Apply 10% waste factor: 2.963 × 1.10 = 3.259 cu yd
  5. Round up to nearest quarter yard for ordering: 3.25 cu yd → order 3.50 cu yd (or round up as required by supplier)
Answer: Approximately 3.26 cubic yards before rounding; order 3.50 cubic yards (rounded up to nearest quarter yard).
2. A rectangular driveway is 60 ft long, 10 ft wide, and 5 inches thick. How many cubic yards must be ordered if a 10% waste factor is applied?
  1. Convert thickness to feet: 5 in ÷ 12 = 0.4167 ft
  2. Calculate volume in cubic feet: 60 ft × 10 ft × 0.4167 ft = 250 cu ft
  3. Convert to cubic yards: 250 ÷ 27 = 9.259 cu yd
  4. Apply 10% waste factor: 9.259 × 1.10 = 10.185 cu yd
  5. Round up to nearest quarter yard: order 10.25 cu yd
Answer: Approximately 10.19 cubic yards before rounding; order 10.25 cubic yards.
3. A patio slab is 15 ft long, 15 ft wide, and 3.5 inches thick. Using a 5% waste factor, how many cubic yards should be ordered?
  1. Convert thickness to feet: 3.5 in ÷ 12 = 0.2917 ft
  2. Calculate volume in cubic feet: 15 ft × 15 ft × 0.2917 ft = 65.63 cu ft
  3. Convert to cubic yards: 65.63 ÷ 27 = 2.431 cu yd
  4. Apply 5% waste factor: 2.431 × 1.05 = 2.553 cu yd
  5. Round up to nearest quarter yard: order 2.75 cu yd
Answer: Approximately 2.55 cubic yards before rounding; order 2.75 cubic yards.
4. A contractor needs to pour a sidewalk 48 ft long, 4 ft wide, and 4 inches thick. With a 10% waste factor, how many cubic yards are required?
  1. Convert thickness to feet: 4 in ÷ 12 = 0.333 ft
  2. Calculate volume in cubic feet: 48 ft × 4 ft × 0.333 ft = 63.94 cu ft
  3. Convert to cubic yards: 63.94 ÷ 27 = 2.368 cu yd
  4. Apply 10% waste factor: 2.368 × 1.10 = 2.605 cu yd
  5. Round up to nearest quarter yard: order 2.75 cu yd
Answer: Approximately 2.61 cubic yards before rounding; order 2.75 cubic yards.

The math in this lesson3

Learners compute cubic yards for slabs, driveways, patios and sidewalks with 5–10% waste factors.
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Brush up in the math halls at newSchoolWorks.com:
In class: Students complete a three-problem worksheet calculating cubic yards for slabs of varying length, width, and thickness, including a waste factor, then compare answers with a partner and reconcile any differences. · Instructor leads a demonstration comparing two concrete samples — one at proper slump (4 inches for flatwork) and one too wet — using a slump cone; students record observations and explain why excess water weakens the slab and causes surface scaling. · Small groups read a sample ready-mix delivery ticket and identify: specified compressive strength, water-cement ratio, admixture type, air content, truck number, and load size; groups present findings to the class.
Materials: Calculators, volume calculation worksheet, slump cone and tamping rod, sample concrete batches (pre-mixed in buckets for demo), sample ready-mix delivery ticket handouts, whiteboard, NCCER Masonry Level 2 textbook, ACI 318 Building Code (reference only for design strength concepts), safety glasses
Check: Written volume calculation quiz — three problems; students must achieve 80% or higher (at least 3 of 4 answers, including units and waste factor, correct) to pass.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

NCCER Masonry — Concrete Flatwork / Math and Measurement
1. A slab is 10 ft long, 10 ft wide, and 4 inches thick. What is the volume in cubic yards before adding a waste factor?
NCCER Masonry — Concrete Materials and Mix Design
2. Why does adding excess water to a concrete mix reduce the long-term durability of an exterior slab?
NCCER Masonry — Concrete Materials and Mix Design
3. What is the primary purpose of air entrainment in concrete used for exterior flatwork?
NCCER Masonry — Concrete Flatwork / Reading Documents
4. On a ready-mix delivery ticket, which item tells you whether the concrete meets the structural design requirement for the slab?
NCCER Masonry — Concrete Flatwork / Quality Control
5. A slump test is performed on a ready-mix load intended for an exterior flatwork pour. The concrete drops 7 inches. What is the most appropriate immediate action?
NCCER Masonry — Math and Measurement
6. How many cubic feet are in one cubic yard of concrete?
OSHA 10 — Personal Protective Equipment / Construction Safety
7. Which personal protective equipment (PPE) is most critical when handling fresh concrete or liquid concrete admixtures?
NCCER Masonry — Concrete Flatwork / Math and Measurement
8. A contractor calculates that a slab requires 8.40 cubic yards of concrete. Applying a 10% waste factor, what quantity should be ordered?
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