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AgileLogics

Brick Foundation Calculator

Estimates the number of bricks and, optionally, the cement/sand mortar quantity for a brick foundation from its length, width, depth, and number of layers/steps.

Formula

Foundation volume = Length × Width × Depth × Layers. Bricks required = Length × Depth × Layers × (Width + joint) ÷ (Brick+mortar unit volume). Mortar volume = Foundation volume − (bricks × brick solid volume), then split into cement/sand by the mortar ratio (dry volume × 1.33).

Assumptions

Assumes each "layer" is a uniform, full course of the given depth (a simplification for stepped footings). Uses the same brick presets as the Brick Calculator and the same 1.33 dry volume factor as the Plaster Calculator for mortar.

Results are estimates for general guidance and do not replace verified calculations from a qualified professional where accuracy is critical.

How it works

Enter the foundation length, width, and depth, the number of layers/steps, and a brick size. Choose a mortar ratio to also estimate cement and sand quantities.

How a brick foundation is estimated

A brick foundation calculator works out how many bricks fill the volume of a masonry footing, allowing for the mortar joint around each brick, then estimates the cement and sand for that mortar. You enter the foundation's length, width and depth, the number of layers, a brick size, the joint thickness, a wastage percentage and, optionally, a cement:sand ratio.

The formulas

  1. Foundation volume = Length × Width × Depth × Number of layers
  2. Brick with mortar = (Brick length + joint) × (Brick width + joint) × (Brick height + joint)
  3. Bricks required = Length × Depth × Layers × (Width + joint) ÷ Brick-with-mortar volume, rounded up
  4. Total bricks = Bricks required × (1 + wastage %), rounded up
  5. Mortar volume = Foundation volume − (unrounded brick count × one brick's solid volume)
  6. Dry mortar volume = Mortar volume × 1.33
  7. Cement and sand = Dry volume split by the ratio, for example 1 part cement in 7 for 1:6
  8. Cement bags = Cement volume × 1,440 kg/m³ ÷ 50 kg per bag

One joint is added to the width because brickwork n bricks wide has only n − 1 mortar joints across it. With that joint added, (Width + joint) ÷ (Brick width + joint) is the number of bricks across the foundation.

The defaults are a modular brick, a 10 mm joint, 5% wastage and no mortar estimate. The 1.33 dry-volume factor, 1,440 kg/m³ cement density and 50 kg bag are the calculator's built-in conventions.

Brick sizes

Preset Brick size (mm) Size with 10 mm joint (mm) Bricks per m³, 600 mm wide (before wastage)
Modular 190 × 90 × 90 200 × 100 × 100 about 508
Standard/Classic 230 × 110 × 75 240 × 120 × 85 about 415
Custom your dimensions your dimensions + joint depends on size

Check the actual size of the bricks your supplier sells. Brick sizes differ between countries and manufacturers, and a few millimeters change the count noticeably over a whole foundation.

Worked example

A strip foundation 20 m long, 0.6 m wide and 0.3 m deep, one layer, modular bricks, 10 mm joints, 5% wastage, and 1:6 mortar:

  1. Foundation volume: 20 × 0.6 × 0.3 × 1 = 3.600 m³.
  2. Brick with mortar: 0.2 × 0.1 × 0.1 = 0.002 m³.
  3. Bricks required: 20 × 0.3 × 1 × (0.6 + 0.01) ÷ 0.002 = 1,830.
  4. With 5% wastage: 1,830 × 1.05 = 1,921.5, rounded up to 1,922 bricks.
  5. Solid brick volume: 0.19 × 0.09 × 0.09 = 0.001539 m³, × 1,830 = 2.816 m³. Mortar: 3.6 − 2.816 = 0.784 m³.
  6. Dry volume: 0.784 × 1.33 = 1.042 m³.
  7. Cement: 1.042 × 1/7 = 0.149 m³, × 1,440 ÷ 50 = 4.29 bags. Sand: 1.042 × 6/7 = 0.893 m³.

The same foundation with standard 230 × 110 × 75 mm bricks needs 1,496 bricks (1,571 with wastage), 0.763 m³ of mortar, 4.18 bags of cement and 0.870 m³ of sand.

Steps to use it

  1. Measure the foundation length along its centerline. At corners, avoid counting the overlap twice.
  2. Enter the width and depth of the brickwork, not of the trench or the concrete bed beneath it.
  3. Leave layers at 1 unless several layers really are the same size.
  4. Pick the brick size and joint thickness you'll build with.
  5. Choose a mortar ratio if you want cement and sand quantities.

Limitations

  • Same-size layers. Real stepped footings get narrower as they rise. Estimate each step separately, as described in the FAQ.
  • Concrete bed not included. Most brick foundations sit on a concrete base, which you can estimate with the concrete calculator.
  • No wastage on mortar. Only the brick count gets the wastage allowance.
  • Solid bricks assumed. Frogged or perforated bricks take more mortar than this estimate.

The calculator gives material quantities only. Foundation width, depth and construction must follow your local building code, and a qualified engineer should check the design for your soil and loads.

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Frequently asked questions

What does "number of layers" mean?
It's the number of identical layers or steps in the foundation, each with the depth you entered. The calculator multiplies the foundation volume by this number, so every layer is assumed to have the same length and width.
How do I estimate a stepped foundation where each step is narrower?
Run the calculator once per step, using that step's width and depth with layers set to 1, then add the brick, cement and sand figures together. Using one width for all layers would overestimate the narrower upper steps.
How many bricks are in one cubic meter of foundation?
With a 10 mm mortar joint, a modular 190 × 90 × 90 mm brick occupies 200 × 100 × 100 mm, or 500 per cubic meter of that space. A foundation n bricks wide has only n − 1 joints across it, so the calculator adds one joint to the width, which raises the figure slightly. For a 600 mm wide foundation that's about 508 modular bricks per cubic meter, or about 415 of the 230 × 110 × 75 mm size. Both figures are before wastage.
Is the wastage percentage applied to the mortar too?
No. The wastage percentage only increases the brick count. Cement and sand are calculated from the mortar volume without an extra allowance, so add your own margin when you order them.
Why multiply the mortar volume by 1.33?
Cement and sand are measured dry, and dry loose material occupies more volume than the same material once it's mixed with water and packed into joints. The calculator uses a factor of 1.33 for mortar, the same convention as its plaster calculator.