YardPour

Guide

The Concrete Formula, Step by Step

The concrete calculator formula is volume = length × width × thickness, then cubic feet ÷ 27 = cubic yards. This guide covers every shape, the 324 and 81 shortcuts, waste, bags, weight, and mix ratios, each with a worked example.

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Contents: units · rectangles · 324 and 81 · round shapes · stairs and curbs · waste · bags · weight · mix · rebar

1. Get every number into one unit

Most mistakes come from multiplying feet by inches. Convert first.

inches ÷ 12 = feet 1 cubic yard = 3 ft × 3 ft × 3 ft = 27 ft³ 1 ft³ = 0.0283168 m³ (1 yd³ = 0.764555 m³)

YardPour displays metric volume using 0.0283168 m³ per ft³ throughout. Some sites print 0.0283. The small difference adds up on big pours, so the two are never mixed in one result.

2. Rectangles: slabs, walls, square footings

V (ft³) = L (ft) × W (ft) × T (ft) V (yd³) = V (ft³) ÷ 27

Example: 10 × 10 ft slab, 4 in thick

  1. 4 in ÷ 12 = 0.333 ft.
  2. 10 × 10 × 0.333 = 33.33 ft³.
  3. 33.33 ÷ 27 = 1.23 yd³.

3. The 324 and ÷ 81 shortcuts

Slabs are usually measured in feet for area and inches for thickness. Combine the two conversions into one number:

yd³ = sq ft × (T in ÷ 12) ÷ 27 = sq ft × T in ÷ 324 (12 × 27 = 324) at T = 4 in: yd³ = sq ft × 4 ÷ 324 = sq ft ÷ 81 (324 ÷ 4 = 81)

The ÷ 81 shortcut, popularized by Concrete Network, is exact at 4 inches only. At 6 inches use ÷ 54. At 5 inches use ÷ 64.8. For any other thickness, use 324.

4. Round shapes: columns, tubes, post holes, round slabs

solid: V = π × (D ÷ 2)² × H hollow: V = π × ((D_out ÷ 2)² − (D_in ÷ 2)²) × H

Example: 12 in tube form, 4 ft tall

  1. D = 12 in = 1 ft, so the radius is 0.5 ft.
  2. π × 0.5² × 4 = 3.14 ft³.
  3. 3.14 ÷ 27 = 0.116 yd³.

5. Stairs, curbs, and trapezoids

Solid stairs on grade. Each step is a box one run deep. Step k is k rises tall. Summing 1 + 2 + … + n gives n(n+1) ÷ 2. A top landing adds width × landing depth × n × rise .

V = W × run × rise × n(n+1) ÷ 2 + W × landing × n × rise

Curb and gutter. Modeled as two rectangles: the curb (width × height) plus the gutter flag (width × thickness), times length. Real profiles have batters and radii. Check your agency's detail .

Trapezoid. Average the two widths: V = L × ((top + bottom) ÷ 2) × H.

6. Net volume vs order volume

order = net × (1 + waste %)

Net is the geometry. Order is what you buy. A 5–10% margin is often cited for uneven subgrade, form bulge, and spillage . YardPour defaults to 0% and shows both numbers, so you choose the margin knowingly.

7. Bags

bags = ⌈ order ft³ ÷ yield per bag ⌉ (always round up) bags per yd³ = 27 ÷ yield
BagYield (ft³)Bags per yd³
40 lb0.3090
50 lb0.37572
60 lb0.4560
80 lb0.6045

Yields as widely cited for QUIKRETE Concrete Mix No. 1101 . Some calculators publish different bags-per-yard tables. The bag in your hand is the authority.

8. Weight

weight (lb) = ft³ × density (150 lb/ft³ → 4,050 lb/yd³)

150 lb/ft³ is a common planning figure. Concrete Network cites about 4,000 lb/yd³. YardPour shows 150 as an editable assumption, not a fact about your mix .

9. Mix ratios

dry = wet × 1.54 (often cited 1.52–1.54) material = dry × its parts ÷ total parts 94 lb cement bag ≈ 1 ft³

For 1 yd³ at 1 : 2 : 3: dry 41.58 ft³, cement 6.93 ft³ (7 bags), sand 13.86 ft³, gravel 20.79 ft³. The dry factor and bag volume are rules of thumb . A ratio is not a strength specification.

10. Rebar grid (takeoff only)

bars one way = ⌊(width − 2 × cover) ÷ spacing⌋ + 1 each bar = length − 2 × cover weight = linear ft × lb/ft (#3 0.376 · #4 0.668 · #5 1.043)

A spacing limit often attributed to ACI 318 is the lesser of 3 × slab thickness or 18 in. Concrete cover against earth is often cited around 3 in . Laps are not added unless you enter a lap length. This is a quantity takeoff, not structural design.

Thickness: typical, not code

Sidewalks and patios are often 4 in. Driveways and garages are often 4–6 in. Some pages cite an IRC slab-on-ground minimum of 3.5 in . Footing depth has no national default and depends on frost depth and your building department.

Put it to work

The concrete calculator runs every formula on this page, and the slab, yard, and bag tools focus on one job each.

Frequently asked questions

What is the formula for calculating concrete?

Volume = length × width × thickness, with every number in feet. Divide cubic feet by 27 to get cubic yards. For round shapes, use π × radius² × height.

Why do you divide by 27 for concrete?

A cubic yard is 3 ft × 3 ft × 3 ft, which is 27 cubic feet. Dividing cubic feet by 27 converts to cubic yards, the unit ready-mix is sold in.

Where does the 324 in the concrete formula come from?

When thickness is in inches, you divide by 12 to get feet and then by 27 to get yards. 12 × 27 = 324, so cubic yards = square feet × inches ÷ 324.