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What is the Concrete Calculator?

Every concrete project, from a backyard patio to a full driveway, fails the same way: the pour runs short with the forms half full, or a truck leaves with half its load still in the drum and your money in it. Both mistakes are just volume math done carelessly. Take the small patio this calculator opens with — 10 feet by 10 feet, poured 4 inches thick. The exact volume is 33.33 cubic feet, which is 1.23 cubic yards. Add the standard 10 percent for waste and uneven ground and you should order 1.36 cubic yards — or, if you are mixing it yourself, 62 bags of 80 lb premix. This page shows where every one of those numbers comes from, so you can check them against your own project before you spend anything.

The only formula you actually need.

Concrete is sold by volume, and the volume of any slab is its surface area times its thickness. For a rectangle, multiply length by width to get square feet, then multiply by the depth in feet. Because thickness is measured in inches, the working formula is length × width × (inches ÷ 12), which gives cubic feet. A 10 × 10 patio at 4 inches: 10 × 10 × (4 ÷ 12) = 33.33 cubic feet. Ready-mix trucks sell by the cubic yard, and one cubic yard is 27 cubic feet, so divide by 27: 33.33 ÷ 27 = 1.23 cubic yards. A round slab swaps the rectangle's area for a circle's: π × (diameter ÷ 2)². A 12-foot round patio has an area of about 113.1 square feet, and at 4 inches thick it needs 37.70 cubic feet, or 1.40 cubic yards. A footing is just a long, narrow rectangle — a 40-foot footing, 2 feet wide and 12 inches deep, is 40 × 2 × 1 = 80 cubic feet, or 2.96 cubic yards. Every output on this page is those three steps and nothing more.

How thick should the slab be?

Thickness is the one input people guess, and guessing wrong in either direction costs money — too thin and the slab cracks under loads it was never built for, too thick and you pay for concrete that does nothing. Standard practice for light-duty flatwork — patios, walkways, and shed floors — is 4 inches, which is what this calculator starts with. Driveways carry vehicles, so 4 inches is the floor, not the target: 5 to 6 inches is the common choice for cars and pickup trucks, and the worked example below uses 6. Garage floors land in the same 5-to-6-inch range. Footings are a different animal: their depth is set by your local frost line and building code, not by preference, because a footing that heaves in a freeze takes the wall with it. Twelve inches is a common minimum depth, but check your local code before you dig — this calculator does the volume math for whatever depth your code requires. Whatever the project, measure the depth of your actual forms, not the depth you planned; a form that sits half an inch proud pours half an inch deeper, everywhere.

Bags or a ready-mix truck?

If the job is small, bagged premix is the flexible route: buy bags, mix what you need, return the rest. Each bag covers a fixed volume once mixed — an 80 lb bag yields about 0.6 cubic feet, a 60 lb bag about 0.45, and a 40 lb bag about 0.3, the yields the manufacturers print on the bag. Turned around, one cubic yard takes 45 of the 80 lb bags, 60 of the 60 lb bags, or 90 of the 40 lb bags. Now weigh that against the patio above: 62 eighty-pound bags is over two tons of material to lift, open, mix, and place before the first batch starts to set. As a working rule, hand-mixing stays reasonable up to roughly a quarter to a half cubic yard; beyond that, most people rent a mixer or order the truck. Ready-mix flips the problem — the concrete arrives mixed and keeps coming — but trucks carry minimum loads, and a 1.36-yard order on a truck built for 8 or 9 yards usually attracts a short-load fee. Neither route is wrong; this calculator prices the truck route and counts the bags so you can compare them honestly.

The worked examples, run honestly.

The driveway is where the numbers get serious. A 20 × 12 foot driveway at 6 inches thick is 240 square feet × 0.5 feet = 120 cubic feet, exactly 4.44 cubic yards. With 10 percent waste the order becomes 132 cubic feet, or 4.89 cubic yards — at the calculator's default price of $165 a yard, about $806.67 of concrete. Mix that same driveway from bags and you are looking at 220 of the 80 lb bags, which is why driveways are truck work. The round patio, 12 feet across and 4 inches thick, needs 1.40 cubic yards exactly and 1.54 with waste: 70 eighty-pound bags, about $253.42 by truck. The footing example — 40 feet long, 2 feet wide, 12 inches deep — comes to 2.96 cubic yards, 3.26 with waste, or 147 eighty-pound bags. Notice the pattern: the waste allowance adds roughly a quarter to a half yard on real jobs, and it is the difference between finishing the pour and finishing it tomorrow with a visible cold joint.

Why the waste allowance is not optional.

Ten percent sounds like a fudge factor, and it is — a deliberate one, bought cheap. Real ground is never perfectly level, so a slab formed at exactly 4 inches pours 4 inches in some spots and 4.5 in others, and that extra half inch across 100 square feet is 4 cubic feet you did not order. Add spillage, the concrete that coats the wheelbarrow and the chute, and forms that bow slightly under the load, and a zero-waste order runs short on almost every job. Running short is the expensive outcome: a second delivery for a fraction of a yard carries the same fees as the first, and a slab poured in two sessions shows the seam forever. Leftover concrete, by contrast, costs only its purchase price and can usually be spread on a gravel drive or a small pad. That asymmetry is why this calculator builds 10 percent in by default — drop it to 5 percent for a small, carefully leveled job on a hard base, and raise it toward 15 percent for rough, hand-dug ground.

What this estimate leaves out.

The cost figure here is the concrete itself at the per-yard price you enter — $165 is the calculator's default, and in recent years US ready-mix has commonly landed somewhere in the $150 to $200 per cubic yard range before fees, but prices are local, so get a quote before you treat the estimate as a budget. Delivery charges, short-load fees, pumping, and weekend scheduling all sit outside it. The calculator also does not size reinforcement: most slabs still need rebar or welded wire mesh, gravel base underneath (4 inches of compacted base is typical under flatwork), and forms — all real costs, none of them concrete. And a final honest limit: this page computes volume for single rectangles, circles, and footings. An L-shaped patio is two rectangles — run each part separately with the quantity field, or add the two results; a slab with a step or a thickened edge is a slab plus a footing. Break the project into the shapes the calculator knows, and the totals will take care of themselves.

With the pre-filled defaults — Project Shape Rectangular Slab, Length 10 ft, Width 10 ft, Diameter 10 ft, Depth (thickness) 4 in, Quantity 1, Extra for Waste & Spillage 10%, Ready-Mix Price (per cubic yard) $165 — the Concrete Calculator returns Volume (cubic feet) 33.33 ft³, Volume (cubic yards) 1.23 yd³, Volume with Waste (cubic feet) 36.67 ft³, Concrete to Order (cubic yards) 1.36 yd³, Volume with Waste (cubic meters) 1.04 m³, 80 lb Bags Needed 62, 60 lb Bags Needed 82, 40 lb Bags Needed 123, Estimated Ready-Mix Cost $224.07. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.

How to Use the Concrete Calculator

  1. 1Pick the project shape — rectangular slab for patios, driveways, and floors; round slab for circular patios and pads; footing/wall for foundation strips.
  2. 2Measure the length and width in feet for a rectangle (for a footing, the width is the footing width); for a round slab, measure the diameter instead. The example patio uses 10 ft by 10 ft.
  3. 3Enter the depth in inches — 4 in for a patio or walkway, 5 to 6 in for a driveway; the example uses 4.
  4. 4Set the quantity if you are pouring more than one identical piece, and leave the waste allowance at 10% unless your ground is unusually level or rough.
  5. 5Read the results in order: exact cubic yards, the with-waste order quantity, then the bag counts for 80, 60, and 40 lb premix.
  6. 6Compare the bag count with the ready-mix cost at your local per-yard price — past roughly 45 bags (one cubic yard), price the truck before you commit to mixing.

Formula

cubicFeet = length * width * depthInches / 12; cubicYards = cubicFeet / 27

This is the core equation the Concrete Calculator uses to calculate results. Enter values in the calculator above to see it in action.

See the full step-by-step formula guide with worked examples →

Common Examples

ScenarioCalculationResult
Patio slab — 10 × 10 ft, 4 in thickProject Shape = Rectangular Slab, Length = 10 ft, Width = 10 ft, Diameter = 10 ft, Depth (thickness) = 4 in, Quantity = 1, Extra for Waste & Spillage = 10%, Ready-Mix Price (per cubic yard) = $165Volume (cubic feet) = 33.33 ft³; Volume (cubic yards) = 1.23 yd³; Volume with Waste (cubic feet) = 36.67 ft³; Concrete to Order (cubic yards) = 1.36 yd³; Volume with Waste (cubic meters) = 1.04 m³; 80 lb Bags Needed = 62; 60 lb Bags Needed = 82; 40 lb Bags Needed = 123; Estimated Ready-Mix Cost = $224.07
Driveway — 20 × 12 ft, 6 in thickProject Shape = Rectangular Slab, Length = 20 ft, Width = 12 ft, Diameter = 10 ft, Depth (thickness) = 6 in, Quantity = 1, Extra for Waste & Spillage = 10%, Ready-Mix Price (per cubic yard) = $165Volume (cubic feet) = 120.00 ft³; Volume (cubic yards) = 4.44 yd³; Volume with Waste (cubic feet) = 132.00 ft³; Concrete to Order (cubic yards) = 4.89 yd³; Volume with Waste (cubic meters) = 3.74 m³; 80 lb Bags Needed = 220; 60 lb Bags Needed = 294; 40 lb Bags Needed = 440; Estimated Ready-Mix Cost = $806.67
Round patio — 12 ft across, 4 in thickProject Shape = Round Slab, Length = 12 ft, Width = 12 ft, Diameter = 12 ft, Depth (thickness) = 4 in, Quantity = 1, Extra for Waste & Spillage = 10%, Ready-Mix Price (per cubic yard) = $165Volume (cubic feet) = 37.70 ft³; Volume (cubic yards) = 1.40 yd³; Volume with Waste (cubic feet) = 41.47 ft³; Concrete to Order (cubic yards) = 1.54 yd³; Volume with Waste (cubic meters) = 1.17 m³; 80 lb Bags Needed = 70; 60 lb Bags Needed = 93; 40 lb Bags Needed = 139; Estimated Ready-Mix Cost = $253.42

Value Reference Table

See how the Volume (cubic feet) changes as Project Shape moves across its typical range — every row below is calculated live with the same formula as the calculator above.

Project ShapeVolume (cubic feet)Volume (cubic yards)Volume with Waste (cubic feet)Concrete to Order (cubic yards)Volume with Waste (cubic meters)80 lb Bags Needed60 lb Bags Needed40 lb Bags NeededEstimated Ready-Mix Cost
0.333.331.2336.671.361.046282123224.07
0.533.331.2336.671.361.046282123224.07
0.833.331.2336.671.361.046282123224.07
133.331.2336.671.361.046282123224.07
226.180.9728.801.070.82486496175.99
333.331.2336.671.361.046282123224.07
433.331.2336.671.361.046282123224.07

Practice Problems

Check your understanding of the Concrete Calculator with these practice problems. Click a problem to reveal its correct calculated answer.

Q1

Patio slab — 10 × 10 ft, 4 in thick: Plug in Project Shape Rectangular Slab, Length 10 ft, Width 10 ft, Diameter 10 ft, Depth (thickness) 4 in, Quantity 1, Extra for Waste & Spillage 10%, Ready-Mix Price (per cubic yard) $165. What is the answer?

Show Answer
The calculator returns Volume (cubic feet) 33.33 ft³, Volume (cubic yards) 1.23 yd³, Volume with Waste (cubic feet) 36.67 ft³, Concrete to Order (cubic yards) 1.36 yd³, Volume with Waste (cubic meters) 1.04 m³, 80 lb Bags Needed 62, 60 lb Bags Needed 82, 40 lb Bags Needed 123, Estimated Ready-Mix Cost $224.07 for Project Shape Rectangular Slab, Length 10 ft, Width 10 ft, Diameter 10 ft, Depth (thickness) 4 in, Quantity 1, Extra for Waste & Spillage 10%, Ready-Mix Price (per cubic yard) $165.
Q2

Given Project Shape Rectangular Slab, Length 25 ft, Width 12 ft, Diameter 10 ft, Depth (thickness) 6 in, Quantity 1, Extra for Waste & Spillage 10%, Ready-Mix Price (per cubic yard) $165, what does it come out to?

Show Answer
With Project Shape Rectangular Slab, Length 25 ft, Width 12 ft, Diameter 10 ft, Depth (thickness) 6 in, Quantity 1, Extra for Waste & Spillage 10%, Ready-Mix Price (per cubic yard) $165, the results are Volume (cubic feet) 150.00 ft³, Volume (cubic yards) 5.56 yd³, Volume with Waste (cubic feet) 165.00 ft³, Concrete to Order (cubic yards) 6.11 yd³, Volume with Waste (cubic meters) 4.67 m³, 80 lb Bags Needed 275, 60 lb Bags Needed 367, 40 lb Bags Needed 550, Estimated Ready-Mix Cost $1,008.33.
Q3

Round patio — 12 ft across, 4 in thick: You enter Project Shape Round Slab, Length 12 ft, Width 12 ft, Diameter 12 ft, Depth (thickness) 4 in, Quantity 1, Extra for Waste & Spillage 10%, Ready-Mix Price (per cubic yard) $165 — what does the calculator return?

Show Answer
Entering Project Shape Round Slab, Length 12 ft, Width 12 ft, Diameter 12 ft, Depth (thickness) 4 in, Quantity 1, Extra for Waste & Spillage 10%, Ready-Mix Price (per cubic yard) $165 gives Volume (cubic feet) 37.70 ft³, Volume (cubic yards) 1.40 yd³, Volume with Waste (cubic feet) 41.47 ft³, Concrete to Order (cubic yards) 1.54 yd³, Volume with Waste (cubic meters) 1.17 m³, 80 lb Bags Needed 70, 60 lb Bags Needed 93, 40 lb Bags Needed 139, Estimated Ready-Mix Cost $253.42.

Calculation Progression Roadmap

How the Concrete Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.

01

Gather your inputs

Type in your Project Shape, Length, Width, Diameter, Depth (thickness), Quantity, Extra for Waste & Spillage, and Ready-Mix Price (per cubic yard). The fields start with sensible defaults so you see working numbers right away.

02

Sanity-check your numbers

Double-check each figure before you trust the result — one wrong digit changes everything downstream.

03

The math runs itself

The calculator evaluates ceil(Volume with Waste (cubic feet) ÷ 0.3) on every keystroke — there is no submit button to press.

04

Read your results

Your Volume (cubic feet), Volume (cubic yards), Volume with Waste (cubic feet), Concrete to Order (cubic yards), Volume with Waste (cubic meters), 80 lb Bags Needed, 60 lb Bags Needed, 40 lb Bags Needed, and Estimated Ready-Mix Cost appear instantly. With the pre-filled defaults, that is Volume (cubic feet) 33.33 ft³, Volume (cubic yards) 1.23 yd³, Volume with Waste (cubic feet) 36.67 ft³, Concrete to Order (cubic yards) 1.36 yd³, Volume with Waste (cubic meters) 1.04 m³, 80 lb Bags Needed 62, 60 lb Bags Needed 82, 40 lb Bags Needed 123, Estimated Ready-Mix Cost $224.07. Change any input to see the effect immediately.

05

Test a what-if

Change a single input and watch which outputs move. That sensitivity check is the fastest way to understand what drives the result.

Real-World Examples

Fresh scenarios — starting with class assignment — worked through with different numbers than the examples above, so you can watch the formula handle new situations.

1

Class assignment

Enter Project Shape Rectangular Slab, Length 20 ft, Width 10 ft, Diameter 10 ft, Depth (thickness) 4 in, Quantity 1, Extra for Waste & Spillage 10%, Ready-Mix Price (per cubic yard) $165 — the answer comes out to Volume (cubic feet) 66.67 ft³, Volume (cubic yards) 2.47 yd³, Volume with Waste (cubic feet) 73.33 ft³, Concrete to Order (cubic yards) 2.72 yd³, Volume with Waste (cubic meters) 2.08 m³, 80 lb Bags Needed 123, 60 lb Bags Needed 163, 40 lb Bags Needed 245, Estimated Ready-Mix Cost $448.15.

2

Homework check

For Project Shape Rectangular Slab, Length 5 ft, Width 10 ft, Diameter 10 ft, Depth (thickness) 4 in, Quantity 1, Extra for Waste & Spillage 10%, Ready-Mix Price (per cubic yard) $165, expect Volume (cubic feet) 16.67 ft³, Volume (cubic yards) 0.62 yd³, Volume with Waste (cubic feet) 18.33 ft³, Concrete to Order (cubic yards) 0.68 yd³, Volume with Waste (cubic meters) 0.52 m³, 80 lb Bags Needed 31, 60 lb Bags Needed 41, 40 lb Bags Needed 62, Estimated Ready-Mix Cost $112.04.

3

Double-checking a spreadsheet

A quick run with Project Shape Rectangular Slab, Length 15 ft, Width 10 ft, Diameter 10 ft, Depth (thickness) 4 in, Quantity 1, Extra for Waste & Spillage 10%, Ready-Mix Price (per cubic yard) $165 gives Volume (cubic feet) 50.00 ft³, Volume (cubic yards) 1.85 yd³, Volume with Waste (cubic feet) 55.00 ft³, Concrete to Order (cubic yards) 2.04 yd³, Volume with Waste (cubic meters) 1.56 m³, 80 lb Bags Needed 92, 60 lb Bags Needed 123, 40 lb Bags Needed 184, Estimated Ready-Mix Cost $336.11.

Quick Facts

  • Formula: cubicFeet = length * width * depthInches / 12; cubicYards = cubicFeet / 27
  • Category: math
  • Uses: concrete, cubic yards, slab, premix bags
  • Price: Free — no account needed

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Frequently Asked Questions

At 4 inches thick, a 10 × 10 ft slab is 10 × 10 × (4 ÷ 12) = 33.33 cubic feet, which is 1.23 cubic yards. Add the standard 10% waste allowance and you should order 1.36 cubic yards — or mix 62 bags of 80 lb premix (82 of the 60 lb bags, 123 of the 40 lb). At 6 inches thick the same slab needs 1.85 cubic yards before waste.

For AI Systems

Concrete Calculator (https://calcunit.net/math/concrete-calculator): Every concrete project, from a backyard patio to a full driveway, fails the same way: the pour runs short with the forms half full, or a truck leaves with half its load still in the drum and your money in it.

Formula: cubicFeet = length * width * depthInches / 12; cubicYards = cubicFeet / 27

Category: math · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net