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🛠️ Lumber 計算機

專業免費的 Lumber 計算機。純前端本機毫秒級計算、零資料上傳、極致隱私保護。提供詳細公式推導、實例示範與常見問答。

即時推算結果 (Computed Output)
0.44BF
專業公認計算模型,即時運算完畢
📜 計算歷史記錄 (試算軌跡)
尚無歷史記錄,每次點擊「計算」將在此留下試算軌跡...

What the Lumber Calculator Does

This Lumber Calculator works out how much wood you have in three different units at once: board feet, cubic feet, and cubic meters. It is built around the board-foot measurement system used widely in the United States and Canada for buying and pricing rough and dimensional lumber. Enter the dimensions of a single board and the number of boards, and the calculator returns the total volume for the whole batch — handy for estimating material costs, planning a delivery, or comparing quotes.

The Input Fields

  • Length (feet) — the length of one board measured in feet.
  • Width (inches) — the face width of the board in inches.
  • Thickness (inches) — how thick the board is, in inches.
  • Quantity — how many identical boards you are calculating.

Note the mixed units: length is entered in feet while width and thickness are in inches. This matches how lumber is traditionally described (for example, a "2×4×8" board).

The Formula

The core calculation is the standard board-foot formula:

  • Board feet = (Length × Width × Thickness × Quantity) ÷ 144
  • Cubic feet = Board feet ÷ 12
  • Cubic meters = Cubic feet × 0.0283168

The standard board-foot formula is:

Board Feet = ((Length (ft) × Width (in) × Thickness (in) × Quantity) ÷ (144))

The 144 divisor converts the mixed feet-and-inches figures into board feet (one board foot equals 144 cubic inches of wood, i.e. 1\ ft × 12\ in × 1\ in). Dividing by 12 turns board feet into true cubic feet, and the 0.0283168 factor converts cubic feet to cubic meters.

Worked Example

Suppose you have 10 boards, each 8 feet long, 6 inches wide, and 2 inches thick.

  • Board feet = (8 × 6 × 2 × 10) ÷ 144 = 960 ÷ 144 = 6.67 board feet
  • Cubic feet = 6.67 ÷ 12 = 0.556 cubic feet
  • Cubic meters = 0.556 × 0.0283168 = 0.0157 cubic meters

You could then multiply the board feet by your supplier's per-board-foot price to estimate the cost.

使用注意事項與精準校對原則(6 大核心守則)

📐 1. 嚴格對齊輸入量綱與單位

輸入各項數值時請務必確認量綱(例如小時、天數、金額、百分比),避免單位不匹配引發推算偏差。

🔒 2. 純前端本機毫秒級隱私保障

所有計算邏輯 100% 在您的終端瀏覽器內完成,資料絕不上傳伺服器,嚴格守護商業與個人隱私。

📊 3. 符合公認學術與產業計算模型

演算法嚴格遵循國際通用數學公式與標準計算模型,經多重情境交叉核對,數值嚴密精確。

📋 4. 一鍵複製與免登入 PDF 匯出

支援一鍵複製推算結果字串至剪貼簿,亦可直接點擊列印按鈕輸出純淨 PDF 工作報表。

🔄 5. 多情景敏感度動態對比

建議針對極端值與多組預期情景分別試算,觀察輸出數據的波動區間,輔助做出更穩健的決策。

🛡️ 6. 專業諮詢與日常參考免責聲明

本工具運算結果供日常排程、學業研習與事前參考之用,如涉及重大法規或投資決策請諮詢持證專家。

常見問題 (FAQ)

What is a board foot?
A board foot is a volume of lumber equal to 144 cubic inches — for example, a piece 1 foot long, 12 inches wide, and 1 inch thick. It is the standard unit for pricing hardwood and softwood in North America.
Should I use nominal or actual dimensions?
For accurate volume, use the actual finished dimensions. A "2×4" is really about 1.5 × 3.5 inches after planing, so entering the nominal 2 and 4 will overstate the volume slightly.
Why is length in feet but width and thickness in inches?
This mirrors how lumber is normally specified and described in the trade, and the formula's divisor of 144 is set up to handle that mix automatically.