Estimate Concrete by Shape, Bags, Yards and Truckloads
Figure cubic yards for rectangular and triangular slabs, walls, footings, columns, round pads, tube forms, curbs and concrete steps. Every result shows the shape formula, waste-adjusted order, bags, truckloads, weight and cost.
Project geometry
Ordering assumptions
Bag and price options
Selected concrete shape
Concrete quantity
How to figure yards for concrete
Calculate the shape volume in cubic feet, multiply by quantity, and divide by 27 because one cubic yard contains 27 cubic feet. Add an explicit overage for grade variation, form leakage and handling. The calculator never hides this allowance inside the base geometry.
Triangular concrete slabs and footings
For a triangular plan, enter the triangle base as Length, the perpendicular plan height as Width, and the slab thickness separately. The calculator uses one-half × base × perpendicular height × thickness; it does not use a sloped side as the perpendicular height.
Calculating concrete for Sonotubes and circular forms
Select the Sonotube or round-column shape, choose a common form diameter in inches or select Custom, then enter the filled height and number of identical tubes. A solid circular form uses π × radius² × height. Do not use hollow-tube mode unless there is a real unfilled center.
Bagged concrete versus ready mix
Bag count uses the selected nominal yield and always rounds up. Actual yield can vary with mixing water, consolidation and product. Ready-mix truckloads are calculated from ordered cubic yards and the entered truck capacity.
Concrete calculator questions
Do I need extra concrete?
Most jobs use an overage because excavation and form dimensions are rarely exact. Select a project-appropriate percentage rather than relying on a fixed hidden assumption.
How are concrete steps calculated?
The tool treats a solid staircase as stacked rectangular steps: width × rise × run × n(n+1)/2.
Is square yardage the same as cubic yardage?
No. Square yards measure area. Concrete is ordered by cubic yards, which include thickness or height.
Concrete Yard Calculator: formula-based step-by-step solution
This Concrete Yard Calculator worked derivation uses the published default state. Its live formula panel replaces these values whenever an input, unit, mode, date, material, or scenario changes.
π × radius² × heightπ × (outer radius² − inner radius²) × heightwidth × rise × run × n(n+1)/2½ × triangle base × perpendicular height × thicknesslength × width × thickness/heightBase Ft3 = per × qWaste = percent(Waste,'Waste or overage')Waste Ft3 = baseFt3 × wasteOrder Ft3 = baseFt3+wasteFt3Yards = orderFt3 ÷ 27M3 = orderFt3 ÷ 35.31466672Weight = orderFt3 × densityBags = ceil(orderFt3 ÷ bagYield)Bag Yield = Bag Yield = 'custom'?Custom Yield:Bag YieldLoads = ceil(yards ÷ truckCap)Truck Cap = positive(Truck Capacity,'Ready-mix truck capacity')
1. Governing formulas and numeric substitution
- Formula 1:
π × radius² × heightDefault-value substitution:π × radius² × (4) - Formula 2:
π × (outer radius² − inner radius²) × heightDefault-value substitution:π × (outer radius² − inner radius²) × (4) - Formula 3:
width × rise × run × n(n+1)/2Default-value substitution:(10) × (7) × (11) × (3)((3)+1)/2 - Formula 4:
½ × triangle base × perpendicular height × thicknessDefault-value substitution:½ × triangle base × perpendicular (4) × thickness - Formula 5:
length × width × thickness/heightDefault-value substitution:(20) × (10) × thickness/(4) - Formula 6:
Base Ft3 = per × qDefault-value substitution:Base Ft3 = per × (1) - Formula 7:
Waste = percent(Waste,'Waste or overage')Default-value substitution:Waste = percent((10),'(10) or overage') - Formula 8:
Waste Ft3 = baseFt3 × wasteDefault-value substitution:Waste Ft3 = baseFt3 × (10) - Formula 9:
Order Ft3 = baseFt3+wasteFt3Default-value substitution:Order Ft3 = baseFt3+wasteFt3 | current data: Concrete shape=slab; Main dimension unit=ft; Length / triangle base=20; Width / perpendicular triangle height=10; Thickness / height=4; Height unit=in; Sonotube / circular-form diameter=12; Outer diameter=2 - Formula 10:
Yards = orderFt3 ÷ 27Default-value substitution:Yards = orderFt3 ÷ 27 | current data: Concrete shape=slab; Main dimension unit=ft; Length / triangle base=20; Width / perpendicular triangle height=10; Thickness / height=4; Height unit=in; Sonotube / circular-form diameter=12; Outer diameter=2 - Formula 11:
M3 = orderFt3 ÷ 35.31466672Default-value substitution:M3 = orderFt3 ÷ 35.31466672 | current data: Concrete shape=slab; Main dimension unit=ft; Length / triangle base=20; Width / perpendicular triangle height=10; Thickness / height=4; Height unit=in; Sonotube / circular-form diameter=12; Outer diameter=2 - Formula 12:
Weight = orderFt3 × densityDefault-value substitution:Weight = orderFt3 × (145) - Formula 13:
Bags = ceil(orderFt3 ÷ bagYield)Default-value substitution:Bags = ceil(orderFt3 ÷ (0.6)) - Formula 14:
Bag Yield = Bag Yield = 'custom'?Custom Yield:Bag YieldDefault-value substitution:Bag Yield = (0.6) = 'custom'?(0.6):(0.6) - Formula 15:
Loads = ceil(yards ÷ truckCap)Default-value substitution:Loads = ceil(yards ÷ truckCap) | current data: Concrete shape=slab; Main dimension unit=ft; Length / triangle base=20; Width / perpendicular triangle height=10; Thickness / height=4; Height unit=in; Sonotube / circular-form diameter=12; Outer diameter=2 - Formula 16:
Truck Cap = positive(Truck Capacity,'Ready-mix truck capacity')Default-value substitution:Truck Cap = positive((10),'Ready-mix (10)')
2. Variables and measurement units used
- Concrete shape =
slab - Main dimension unit =
ft - Length / triangle base =
20 - Width / perpendicular triangle height =
10 - Thickness / height =
4 - Height unit =
in - Sonotube / circular-form diameter =
12 - Outer diameter =
2 - Inner diameter =
1 - Step width =
4 - Rise per step =
7 - Run per step =
11 - Number of steps =
3 - Known volume =
2 - Known volume unit =
yd3 - Quantity of identical items =
1 - Waste / overage (%) =
10% - Concrete density (lb/ft³) =
145lb/ft³ - Ready-mix truck capacity (yd³) =
10yd³ - Minimum ready-mix order (yd³) =
1yd³ - Bag size and nominal yield =
0.60 - Custom yield per bag (ft³) =
0.60ft³ - Pricing method =
yard - Unit price =
150 - Delivery / short-load fee =
0 - Sales tax (%) =
0%
3. Concrete Yard Calculator final evaluation: this calculator’s production engine evaluates the substituted relationship with unrounded internal precision; its subject-specific result cards, table, and visual report the rounded final answer and verification quantities.
Formula-based calculator guide
Concrete Yard Calculator: formula, steps, units and verification
concrete yard calculator is designed for a transparent calculation rather than a black-box answer. Concrete Yard Calculator: calculate cubic yards for slabs, walls, footings, Sonotubes, curbs and steps. Estimate bags, truckloads, weight, overage.
How to use the concrete yard calculator in 5 steps
- Choose the required mode. Select the calculation path that matches the quantity you know and the result you need.
- Enter source values. Use measured, documented or assignment values rather than rounded estimates whenever possible.
- Confirm every unit. The concrete yard calculator converts supported units before formula substitution, so each selector must describe the entered number.
- Run the calculation. Review the displayed formula, normalized values and numeric substitution before accepting the final result.
- Verify the answer. Reproduce the substitution manually and check whether the output is reasonable for the stated assumptions.
Concrete Yard Calculator formula and unit checks
The concrete yard calculator keeps source inputs, canonical calculation units and displayed output units separate. This prevents a correct formula from producing a wrong answer because feet were treated as meters, percentages as decimals, or time values as the wrong interval.
For an independent check, copy the formula shown by the calculator, substitute the unrounded canonical values, preserve full precision through intermediate operations and round only the final result. The verified answer should match both the displayed number and its measurement unit.
How to interpret the concrete yard calculator result
A result is useful only when its assumptions match the real problem. Compare the answer with expected ranges, inspect any warning or boundary message, and test a nearby input to confirm that the output changes in the direction predicted by the governing relationship.
The concrete yard calculator provides an educational and planning result. For regulated, medical, structural, financial, laboratory or safety-critical decisions, verify the inputs and method against the applicable professional requirements before acting.
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Concrete Yard Calculator quick verification checklist
Before saving or reporting a result from the concrete yard calculator, confirm the input source, unit selections, formula mode, intermediate substitution, final unit and rounding rule. These checks make the calculation reproducible and easier to audit.
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