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Wood Volume Calculator

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  • In lumber yards, the unit of volume is mainly 'sai', and 1 sai means a volume of approximately 3,338 mm³ (based on 1 chi x 1 chi x 12 ja].
  • Construction sites often use the simplified formula '1 cubic meter (m³] = 300 sai' for quick calculations, so please account for the discrepancy compared to the standard calculation method.
  • Since solid wood may shrink or expand depending on its drying conditions, causing slight dimensional changes, please order with a little extra margin compared to the design dimensions.
  • Since the unit price per sai of specialty wood or hardwood is much higher than that of general structural lumber, accurate volume calculation is key to reducing the overall construction budget.

How about this calculator?

Timber Volume Calculator, 'Jae' Unit Conversion and Estimated Quote Calculation Guide

When purchasing wood, especially logs or sawn timber, the most confusing aspect is the unit called "Jae" (才, sai]. For users accustomed to the metric system (mm], simply enter the wood dimensions, and we will automatically convert them into the commonly used "Jae" unit and volume in cubic meters (㎥], apply unit prices, and calculate the total estimated material cost.

Wood Volume Calculation Formula

The volume of wood is calculated by determining the cross-sectional area for each shape and multiplying it by the length.

1. Volume by shape (per piece, mm³]
  • quadrangle: 폭(mm) × 두께(mm) × 길이(mm)
  • circle: 3.14 × {지름(mm) ÷ 2}² × 길이(mm)
  • semicircle: [3.14 × {반원지름(mm) ÷ 2}² × 길이(mm)] ÷ 2
  • octagon: 2 × (√2 - 1) × 팔각폭(mm)² × 길이(mm)
2. Total timber volume (based on refined timber, sai]
Volume (material] = {Volume per unit (mm³] × Quantity} ÷ 3,338,400

1 jae (才] means a volume of approximately 3,338,400 mm³, which is 1 chi (30.3 mm] wide × 1 chi (30.3 mm] high × 12 ja (3,636 mm] long.

3. Total volume (converted to cubic meters, m³]
Volume (㎥] = {Volume per unit (mm³] × Quantity} ÷ 1,000,000,000

At construction sites, a simplified formula of '1 cubic meter (m³] = approximately 300 cubic meters' is frequently used for quick calculations.

Detailed Guide to Calculator Input Items

Please check the actual specifications and shape of the wood to calculate the exact quantity.

1. Wood shape (cross-sectional shape]

Select 'Square' for lumber or boards, 'Circle' for solid wood or round bars, 'Semi-circle' for finishing siding, and 'Octagon' for landscaping posts. The dimension items (width, thickness, diameter, etc.] that need to be entered will automatically change based on the selected shape.

2. Cross-sectional specifications (width, thickness, diameter, etc.]

Enter the cross-sectional size corresponding to the selected shape. For structural lumber (e.g., 2x4], you must enter the actual dimensions measured with a tape measure rather than the nominal dimensions to avoid errors. You can conveniently enter values ​​using the unit conversion (mm, cm, m] select box on the right.

3. Length and quantity

Enter the total length of one piece of lumber and the total quantity required. On-site, the unit of length commonly used is the 'ja,' and 12 ja (3,600 mm] is the most common standard length for sawn timber.

Timber Length Unit (Ja] Conversion Reference Table

Length distinction mm conversion m conversion note
6 characters 1,800 mm 1.8 m Standard small timber specifications
9 characters 2,700 mm 2.7 m Medium structural lumber specifications
12 characters 3,600 mm 3.6 m The most common lumber length

Expert Know-how and Checklists

This is a key point that determines the quality of the finish before ordering.

  • Checking nominal and actual dimensions

    Structural lumber (2x4, etc.] may differ in name and actual size. For accurate calculations, please be sure to enter the actual dimensions (mm] measured with a tape measure.

  • Check dryness (KD]

    Kneaded wood (KD] is suitable for interior use due to its minimal deformation, but it is expensive. Non-kneaded wood may shrink or warp, so please select according to your intended use.

  • Understanding the Market Goods (Simplified] Method

    Lumberyard estimates are often calculated with a margin greater than the mathematically determined timber due to factors such as sawdust loss, so please refer to the calculator's simplified volume.

Frequently Asked Questions (FAQ]

  • Q. Are ash and si different words?
  • A. They are the same thing. "Sai" is the Japanese pronunciation of "Jae" (talent], and the terms are used interchangeably in the field.
  • Q. Does this calculator work for plywood or MDF as well?
  • A. No. Panel materials such as plywood and laminated board are excluded from this calculator because they are priced per sheet rather than by volume.
  • Q. Why does a difference in value occur between refined goods and market goods?
  • A. This is because lumber yards customarily provide estimates using the market (simplified] method, taking into account losses during the sawing process and knots.