Cement Calculator

Estimate bags, component volumes, and waste for cement, sand, and stone with both US and metric units.

Project inputs

Slab, footing, column, or known volume measurements.

Units:
ft
ft
ft

For slabs or footings, this is thickness. For columns, treat it as height.

Cement
Sand
Gravel
lb

Common sizes: 94 lb (US) or 25/50 kg (metric).

%

Typically 5–10% to cover spillage.

Advanced: density assumptions

How this cement calculator works

This calculator estimates how many bags of cement you need for concrete or mortar using volumetric mix ratios, density assumptions, and waste allowances that mirror professional take-offs.

  • Supports slab, footing, column, or direct volume inputs.
  • Lets you switch between US/imperial and metric units without recalculating by hand.
  • Handles concrete (cement + sand + gravel) or mortar (cement + sand) mixes with custom ratios.
  • Offers separate cement + aggregate outputs or premix bag counts for DIY mixes.

1. Calculate the total volume of concrete or mortar

Find the volume of the element you are casting. Choose slab, footing, or column geometry, or enter the known volume from engineering drawings.

Slab / pad (rectangle) — Volume = Length × Width × Thickness

Strip footing / trench — Volume = Length × Width × Depth

Cylindrical column / pier — Volume = π × (Diameter / 2)2 × Height

2. Apply the mix ratio

Mixes are specified by volumetric ratios such as 1 : 2 : 3 (cement : sand : gravel) or 1 : 4 (cement : sand) for mortar. The calculator prorates the total volume according to the ratio parts.

Let C = cement parts, S = sand parts, G = gravel parts, Vtotal = mix volume.

Total parts = C + S + G

Cement volume = Vtotal × C / (C + S + G)

Sand volume = Vtotal × S / (C + S + G)

Gravel volume = Vtotal × G / (C + S + G)

3. Convert cement volume to mass and bags

Multiply the cement volume by a bulk density to get mass, then divide by the cement bag weight. Add your waste allowance and round up to whole bags.

Cement mass: mcement = Vcement × ρcement

Raw bags: Braw = mcement / mbag

Final bags: Bfinal = ceil(Braw × (1 + waste%))

4. Premixed concrete bags

When using premixed bags, enter the total volume, yield per bag, and waste factor. The calculator shows how many bags to buy.

Premix bags (raw) = Vtotal / Vbag

Premix bags (final) = ceil(Vtotal / Vbag × (1 + waste%))

Typical mix ratios and when to use them

Concrete mixes (cement : sand : gravel)

  • 1 : 2 : 3 – general-purpose concrete for slabs, footpaths, and driveways.
  • 1 : 1.5 : 3 – higher-strength structural mixes (beams, columns), use only with engineered designs.
  • 1 : 2.5 : 4 – leaner mixes for non-structural work.

Mortar mixes (cement : sand)

  • 1 : 4 – general bricklaying mortar.
  • 1 : 5 – lighter-duty masonry or plastering mortar.

Always follow local building codes and supplier recommendations for structural and load-bearing elements.

Practical tips for ordering cement

  • Add 5–10% extra for waste, spillage, and uneven subgrades.
  • Round up to the next full bag to avoid running out mid-pour.
  • Check bag sizes – many regions use 25 kg or 50 kg bags instead of 94 lb.
  • Consider ready-mix delivery for large volumes (roughly 3–4 m³ or 4–5 yd³ and up).

Frequently asked questions

How many 94 lb bags of cement are in 1 cubic yard of concrete?

For a 1:2:3 mix you usually need about 5.5–6 bags of 94 lb cement per cubic yard of concrete. This calculator gives a precise estimate accounting for your exact ratios and densities.

Can I change the mix ratio?

Yes. Adjust the cement, sand, and gravel ratio inputs. The calculator recomputes all component volumes and bag counts.

Is this calculator suitable for structural design?

No. This tool provides material estimates only. For structural elements (foundations, beams, columns), rely on a licensed engineer and local building codes.

About the author

Ugo Candido builds tools that explain how calculations work, focusing on transparent, practical models readers can trust. He reviews each calculator to ensure it matches how professionals think about the problem.

Contact: info@calcdomain.com

Editorial policy

CalcDomain content is educational, reviewed for clarity and accuracy, and avoids paid placements that would influence calculator outputs. Inputs and assumptions stay visible so you can verify how the results are produced.

Why use this calculator

  • Avoid waste: precise material estimates prevent over-ordering.
  • Dual mode: switch between detailed components and premix bags.
  • Budget accurately: know cement, sand, and stone quantities before you quote.
  • Supports all shapes: slabs, footings, or columns get the same attention.

Full original guide (expanded)

Audit: Complete Version 0.1.0-draft
Formulas

Volume formulas

Slab / pad: Vwet = Length × Width × Depth

Column / pier: Vwet = π × (Diameter / 2)2 × Height

Dry volume: Vdry = Vwet × 1.54

Ratio sum: R = 1 + S + A

Masscement = (1 / R × Vdry) × Densitycement

Masssand = (S / R × Vdry) × Densitysand

Massstone = (A / R × Vdry) × Densitystone

Total bags = (Total Vwet in ft³) / Yield per bag (e.g., 0.60 ft³ for an 80 lb bag)

Citations
Changelog
  • 0.1.0-draft — 2026-01-19: Initial draft (review required).
Version 1.5.0