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Calcimator

Firewood Volume Calculator

Estimate the number of cords of firewood from standing trees based on DBH, merchantable height, and tree count.

About this calculator

This calculator estimates how many cords of firewood a stand of standing trees will yield, working from three field-measurable inputs: Diameter at Breast Height (DBH, measured 4.5 feet above ground), merchantable height (the usable trunk length before the first major limb or defect), and the number of trees being processed. It computes a gross cubic-foot volume per tree using a simplified volume approximation (0.003 x DBH-squared x height) -- this is a rough, form-factor-style estimate meant for quick field planning, not a substitute for a professional cruise using a full volume table. That per-tree volume is multiplied by tree count to get total solid wood volume, which is then converted to cords by dividing by 80 cubic feet -- a standard cord stacks to 128 cubic feet (4' x 4' x 8'), but roughly a third of that stack is air gaps between split and round pieces, so 80 solid cubic feet per cord is the conventional rule-of-thumb divisor.

Face cords (a third of a full cord, stacked 4' x 8' at typical 16" log lengths) are derived directly from the cord figure. The calculator also estimates green and seasoned weight using typical hardwood/softwood averages, heating value assuming roughly 20 million BTU per cord of seasoned hardwood, and a market value range from a typical delivered-cord price band. Because the volume formula is a simplified approximation and the weight, BTU, and price figures are broad averages rather than species-specific data, treat every output here as a planning estimate -- actual yield varies with species, form, taper, and local firewood pricing.

Inputs

inches
feet

Results

Cords of Firewood

2.35 cords

Face Cords7.06 face cords
Total Wood Volume188 ft³
Volume Per Tree18.8 ft³
Green Weight (est.)6.1 tons
Seasoned Weight (est.)4.2 tons
Heating Value (est.)47 million BTU
Market Value (low)$588.00
Market Value (high)$941.00
How to Use This Calculator
  1. Enter the Diameter at Breast Height (DBH) in inches for the trees you are measuring.
  2. Enter the Merchantable Height in feet — the usable log height above the stump.
  3. Enter the Number of Trees to calculate total production across the stand.
  4. Review Cords and Face Cords to estimate firewood yield for sale or personal use.
  5. Check Heating Value in million BTU and Market Value range to assess the economic return.

How the result changes with Diameter at Breast Height

Diameter at Breast HeightCords of Firewood
70.59 cords
111.45 cords
215.29 cords
3514.7 cords

What each input means

Diameter at Breast Height
Average tree diameter at 4.5 feet above ground in inches.
Merchantable Height
Usable trunk height in feet from stump to first major limbs or defect.
Number of Trees
Total number of trees to process into firewood.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    Diameter at Breast Height = 14, Merchantable Height = 32, Number of Trees = 10 = 3 input(s) provided
  2. Calculate Cords of Firewood
    2.35 = 2.35
  3. Calculate Face Cords
    Face Cords
    7.06 = 7.06
  4. Calculate Total Wood Volume
    Total Wood Volume
    188 = 188

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

How is the number of cords calculated from tree measurements?

The calculator estimates gross wood volume per tree from Diameter at Breast Height and merchantable height using a simplified volume approximation, multiplies that by the number of trees to get total cubic feet, then divides by 80 solid cubic feet -- the conventional estimate for how much solid wood actually fits inside a 128-cubic-foot stacked cord once air gaps between pieces are accounted for.

Why does a face cord differ from a full cord?

A face cord is a stack 4 feet tall by 8 feet long but only as deep as the log pieces are cut -- typically 16 inches, which is a third of a standard 4' x 4' x 8' cord's depth. That makes a face cord roughly one-third the wood volume of a full cord, which is why this calculator reports face cords as three times the calculated full-cord figure.

Does doubling the tree diameter double the firewood yield?

No -- diameter enters the volume formula squared, so increasing DBH has a much larger effect on estimated cords than increasing height or tree count does by the same percentage. A modest increase in average trunk diameter across a stand can meaningfully outweigh adding more trees of the original size.

How accurate is the market value estimate?

The market value range is a broad planning estimate based on a typical delivered firewood price band per cord, not a live market quote. Actual firewood prices vary significantly by region, species, season, and whether the wood is seasoned or green, so use the range as a starting point rather than a firm sale price.

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