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MUESTRA GRATIS · LEE EN LÍNEACapítulo 2

Estimating Concrete Projects

Este es el Capítulo 2 de CSLB C-8 Concrete Trade Exam Study Guide (2026) — un capítulo completo, gratis aquí mismo; sin descargas ni correo. Es el mismo texto del eBook. Al llegar al final, la guía completa está a un clic.

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Estimating is the second half of the Planning and Estimating section, which CSLB weights at about 28% of the exam[1]. The study guide warns that "Some questions require mathematical computation. A calculator will be provided."[1] The exam is closed book[1], so every conversion factor in this chapter has to be in your head.

The arithmetic is not hard. Candidates lose these questions in three predictable ways: they multiply a thickness in inches by lengths in feet, they divide cubic feet by 9 instead of 27, or they count spaces instead of bars. This chapter drills each of those, then builds up to forms, reinforcement, base material, trucks, labor and cost.

2.1 The units you must know cold

Every figure below is an exact definition from the National Institute of Standards and Technology.

RelationshipExact valueSource
1 foot12 inches[2]
1 yard3 feet[2]
1 square yard9 square feet[2]
1 cubic foot1,728 cubic inches[2]
1 cubic yard27 cubic feet[2]
1 acre43,560 square feet[2]
1 gallon231 cubic inches[2]

Two derived numbers are worth memorizing. A cubic yard is 3 ft × 3 ft × 3 ft, which is why it is 27 cubic feet, not 9. And a cubic foot holds 1,728 ÷ 231 ≈ 7.48 gallons.

Inches to feet. Divide by 12. The thicknesses you will see most are:

InchesFeet (decimal)
3.50.292
40.333
50.417
60.5
80.667
100.833
121.0
181.5

The master formula. Volume in cubic yards = length (ft) × width (ft) × thickness (ft) ÷ 27[2]. Convert every dimension to feet first. Only then multiply.

2.2 Flatwork: slabs, driveways, walks and pads

Worked example 1 — a plain slab

A garage slab is 24 ft by 30 ft and 5 in thick.

  1. Area: 24 × 30 = 720 sq ft.
  2. Thickness: 5 ÷ 12 = 0.417 ft.
  3. Volume: 720 × 0.417 = 300 cu ft.
  4. Cubic yards: 300 ÷ 27 = 11.1 cu yd.

The common wrong answers are 133 cu yd (720 × 5 ÷ 27, forgetting to convert inches) and 33.3 cu yd (dividing by 9). If an answer is wildly larger than the size of the job suggests, you have skipped a conversion.

Worked example 2 — a slab with a thickened edge

Many slabs-on-ground are thickened at the perimeter. Treat the thickened part as a separate strip.

A 20 ft by 30 ft slab is 4 in thick. Around the whole perimeter there is a thickened edge 12 in wide that extends 8 in below the bottom of the slab.

  1. Main slab: 20 × 30 × 0.333 = 200 cu ft.
  2. Perimeter strip length (measured on the outside, a small overcount at the corners that the estimator accepts or corrects): 2 × (20 + 30) = 100 ft.
  3. Added strip volume: 100 × 1.0 ft wide × 0.667 ft deep = 66.7 cu ft.
  4. Total: 266.7 cu ft ÷ 27 = 9.9 cu yd.

Sidewalks and slope

Slopes on flatwork are given as a ratio or as inches per foot. A federal guide specification for concrete walks calls for walks "4 inches thick minimum" with contraction joints "every 1500 lineal mm 5 linear feet unless otherwise indicated"[3] and "a transverse slope of 1/48"[3]. A slope of 1/48 is 1/4 inch of fall per foot (12 ÷ 48 = 0.25). Across a 5-ft-wide walk that is 5 × 0.25 = 1.25 in of fall. As a percentage it is 1 ÷ 48 = 2.08%.

2.3 Continuous footings

A continuous (strip) footing is a long rectangle in cross-section. Its volume is cross-section area × length.

The centerline method

The length to use is the length along the centerline of the footing. If you add up the outside dimensions of a rectangular footing you count each corner twice. For a rectangle, the centerline length is:

Centerline length = outside perimeter − 4 × footing width

Worked example 3 — a perimeter footing

A rectangular footing measures 40 ft by 60 ft to its outside edges. It is 16 in wide and 12 in deep.

  1. Outside perimeter: 2 × (40 + 60) = 200 ft.
  2. Width: 16 ÷ 12 = 1.333 ft.
  3. Centerline length: 200 − 4 × 1.333 = 194.7 ft.
  4. Volume: 194.7 × 1.333 × 1.0 = 259.6 cu ft.
  5. Cubic yards: 259.6 ÷ 27 = 9.6 cu yd.

Using the outside perimeter unadjusted gives 200 × 1.333 × 1 ÷ 27 = 9.9 cu yd — about 3% high. On a multiple-choice exam, both numbers may appear; read whether the dimensions given are to the outside edge or to the centerline.

Footing depth

Footing depth is set by the plans or a soils report, and local code can add minimums. Los Angeles' 2026 general notes, for example, require footings not less than "24 inches for exterior and 18 inches for interior footings" below grade in that city[4]. On an exam question, use the dimension the question gives you; do not substitute a local rule.

2.4 Piers, caissons and round columns

A cylinder's volume is π × r² × height, where r is the radius (half the diameter).

Worked example 4 — drilled piers

Twelve piers are 18 in in diameter and 10 ft deep.

  1. Radius: 18 ÷ 2 = 9 in = 0.75 ft.
  2. Area: 3.1416 × 0.75 × 0.75 = 1.767 sq ft.
  3. One pier: 1.767 × 10 = 17.67 cu ft.
  4. Twelve piers: 212.1 cu ft ÷ 27 = 7.9 cu yd.

The classic error is using the diameter as the radius, which quadruples the answer (31.4 cu yd here). Another is treating the pier as a square 1.5 ft on a side, which overstates the volume by about 27%.

A shortcut worth knowing: the area of a circle is about 0.785 × diameter². For an 18-in (1.5-ft) pier, 0.785 × 2.25 = 1.767 sq ft.

2.5 Walls, curbs and irregular shapes

Worked example 5 — a stem wall

An 8-in-thick wall is 4 ft high and 100 ft long: 0.667 × 4 × 100 = 266.7 cu ft ÷ 27 = 9.9 cu yd.

Curbs, gutters and other constant sections

Any member with a constant cross-section is area × length. A curb-and-gutter section with a cross-sectional area of 1.25 sq ft, run for 240 ft, holds 1.25 × 240 = 300 cu ft ÷ 27 = 11.1 cu yd. When a drawing shows an odd cross-section, break it into rectangles and triangles, add their areas, then multiply by the length.

Joints change the takeoff of curbs and walks. The same federal guide specification calls for curb contraction joints "every 3 m 10 feet maximum unless otherwise indicated"[3] and curb expansion joints "13 mm 1/2 inch thick and spaced every 30 m 100 feet maximum unless otherwise indicated"[3]; for walks, it spaces expansion joints "every 15 m 50 feet maximum"[3]. Your project specification governs, but the joint count drives the quantity of joint filler and the saw or tool time.

Stairs

Estimate cast-in-place stairs as the waist slab (a sloped slab under the steps: length along the slope × width × waist thickness) plus the steps themselves (each step is a triangle: ½ × riser × tread × width). Landings are ordinary slabs.

2.6 From calculated volume to an order

The calculated volume is the concrete that ends up in place. What you order must also cover what does not: subgrade that is lower than planned, forms that bulge, spillage, concrete left in the pump and hopper. Estimators add a waste allowance for this. The percentage is a judgment that depends on the job — thin slabs on uneven subgrade need more than a formed wall. On the exam, the question will state the allowance; apply it by multiplying (volume × 1.05 for 5%), then round up to the supplier's ordering increment.

Worked example 6 — the order

The garage slab in Example 1 (11.1 cu yd) with a 7% allowance: 11.1 × 1.07 = 11.9 cu yd. In half-yard increments you would order 12 cu yd. Rounding down to 11.5 would leave the crew short at the end of the pour, where a delay causes a cold joint.

Trucks

The number of trucks is the order divided by the load per truck, rounded up. A 58-cu-yd pour in 9-cu-yd loads is 58 ÷ 9 = 6.4, so 7 trucks, the last one partly loaded.

Truck scheduling ties back to Chapter 1: Caltrans' rule of thumb is that "the interval between concrete deliveries should not exceed 20 minutes"[5]. Seven trucks at 20-minute intervals span 6 × 20 = 120 minutes from the first to the last arrival.

2.7 Base, fill and vapor retarder

Base course

Base volume is area × thickness, like a slab. Los Angeles' notes require slabs on grade in that city to "be placed on a 4-inch fill of coarse aggregate or on a moisture barrier membrane"[4]. For a 30 ft by 40 ft slab, a 4-in base is 1,200 × 0.333 = 400 cu ft ÷ 27 = 14.8 cu yd of compacted base.

Aggregate is usually bought by weight. If the supplier tells you a compacted cubic yard of the base weighs 1.4 tons, the order is 14.8 × 1.4 = 20.7 tons. (That unit weight is a figure the question or the supplier gives you; it varies with the material.)

Vapor retarder

The same notes require "A 6-mil polyethylene or approved vapor barrier with joints lapped not less than 6-inches" under slabs on expansive soil, fill or slopes in that city[4]. The laps cost material. Rolls 10 ft wide lapped 6 in cover 10 ft for the first width and 9.5 ft for each width after that. A 20-ft-wide slab needs three widths (10 + 9.5 = 19.5 ft is not enough; 10 + 9.5 + 9.5 = 29 ft is). Also add material for turn-ups at the edges and for any penetrations.

2.8 Forms

Formwork is estimated by contact area — the square feet of form face that touches concrete (often written SFCA, square feet of contact area) — or, for slab edges and curbs, by linear feet of edge form.

  • Wall forms: both faces. The stem wall in Example 5 (4 ft high, 100 ft long) needs 2 × 4 × 100 = 800 sq ft of contact area, plus the two ends (2 × 4 × 0.667 = 5.3 sq ft).
  • Slab edge forms: the perimeter in linear feet, with the form height matching the slab thickness (or the thickened edge).
  • Footing forms: the two sides of a formed footing in linear feet or contact area. Footings cast against trimmed earth need no side forms, which changes both the forming cost and, as Chapter 5 shows, the concrete cover required for the steel.

Geometry matters: on a sloped or skewed structure, "This requires different size forms and different lengths and shapes of reinforcing stirrups."[6]

2.9 Reinforcement

Counting bars

Bars laid at a spacing across a width: number of bars = (width ÷ spacing) + 1, with any fraction of a space rounded up before adding the 1. The "+1" is the bar at the start.

Worked example 7. #4 bars at 18 in on center across a width of 24 ft: 24 × 12 = 288 in ÷ 18 = 16 spaces, so 17 bars.

A two-way mat needs the count in both directions. Los Angeles' notes, for instance, call for slab reinforcement of "#4 rebar at 16 inches on center in both directions"[4]. For a 20 ft by 30 ft slab at 16 in:

  • Bars running the 30-ft direction, spread across 20 ft: 240 ÷ 16 = 15 spaces, 16 bars × 30 ft = 480 ft.
  • Bars running the 20-ft direction, spread across 30 ft: 360 ÷ 16 = 22.5, round up to 23 spaces, 24 bars × 20 ft = 480 ft.
  • Total: 960 linear feet of #4, before deductions for edge cover and additions for laps.

Laps

When a run is longer than the stock bar, the bars are lapped. Lap length depends on bar size, grade and coating, and the project documents govern. Under Caltrans specifications, uncoated Grade 60 reinforcement "requires a lap length of at least 45 times the diameter of the bar for no. 8 size bars or smaller"[7]; "For nos. 9, 10, and 11 sized bars, the lap length is 60 times the diameter of the bar."[7] So a #4 (0.5-in) bar laps 45 × 0.5 = 22.5 in, and a #5 (0.625-in) bar laps 28.1 in. Caltrans' own table lists 16.88, 22.50, 28.13, 33.75, 39.38 and 45.00 in for #3 through #8[7]. When two sizes are lapped, "the minimum length of lap for the smaller diameter bar governs."[7] And "Lap splicing is not allowed for no. 14 and no. 18 sized bars"[7].

Each lap adds one lap length of steel. A 30-ft run of #4 bar from 20-ft stock needs one lap: 20 ft + (10 ft + 22.5 in) of the second bar.

Spacing checks

Spacing on a drawing is center to center. Caltrans distinguishes "center-tocenter spacing, which measures the distance between the centers of the bars, and clear distance, which refers to the distance between the outer surfaces of the bar and adjacent bar or object."[7] Its specification sets the minimum center-to-center spacing of parallel bars at "2.5 times the diameter of the larger bar"[7].

Weight and bar lists

Rebar is bought and often paid by weight. The bar list (cut list) from the fabricator gives each mark, size, length and bend; Caltrans notes that bar lists "can also be used to calculate payment for reinforcement."[6] For progress billing, Caltrans staff "establish the average pounds of rebar per cubic yard of a concrete item, commonly referred to as the “rebar factor”"[6]. On public work, "Concrete and bar reinforcing steel are usually paid as separate items."[6]

Sources cited in this excerpt

  1. Contractors State License Board License Examination Study Guide: Concrete (C-8), form 13E-8 (01-2026). 2026-01 (for examinations scheduled on or after 2026-03-01). https://www.cslb.ca.gov/Resources/StudyGuides/C08StudyGuide.pdf
  2. NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement. National Institute of Standards and Technology, 2026. https://nvlpubs.nist.gov/nistpubs/hb/2026/NIST.HB.44-2026.pdf
  3. UFGS 03 30 00 Cast-in-Place Concrete (February 2019, Change 10 – 08/25). U.S. Army Corps of Engineers / NAVFAC / AFCEC (Whole Building Design Guide), 2025-08. https://www.wbdg.org/FFC/DOD/UFGS/UFGS%2003%2030%2000.pdf
  4. Information Bulletin P/GI 2026-022: General Notes for Single-Family Dwelling (2025 California Residential Code references). City of Los Angeles Department of Building and Safety, effective 2026-01-01, revised 2026-04-01. https://dbs.lacity.gov/sites/default/files/efs/forms/pc17/general-notes-for-single-family-dwellings-ib-p-gi2020-022.pdf
  5. Reinforced Concrete Construction Manual, Chapter 5. California Department of Transportation (Caltrans), Division of Engineering Services – Structure Construction, 2025-06. https://dot.ca.gov/-/media/dot-media/programs/engineering/documents/structureconstruction/rcm/sc-rcm-chpt05-a11y.pdf
  6. Reinforced Concrete Construction Manual, Chapter 2. California Department of Transportation (Caltrans), Division of Engineering Services – Structure Construction, 2025-06. https://dot.ca.gov/-/media/dot-media/programs/engineering/documents/structureconstruction/rcm/sc-rcm-chpt02-a11y.pdf
  7. Reinforced Concrete Construction Manual, Chapter 4. California Department of Transportation (Caltrans), Division of Engineering Services – Structure Construction, 2025-06. https://dot.ca.gov/-/media/dot-media/programs/engineering/documents/structureconstruction/rcm/sc-rcm-chpt04-a11y.pdf
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