What does a 2,000 sq ft home in the cold zone needing 90,000–110,000 BTU mean?
On the default — 2,000 sq ft in the cold zone — the furnace needs 90,000–110,000 BTU of heat an hour, and the recommended furnace is 100,000 BTU. The range comes from the rate: the cold zone needs 45–55 BTU per sq ft, so 2,000 × 45 = 90,000 BTU and 2,000 × 55 = 110,000 BTU. The midpoint is 100,000 BTU, and the nearest standard furnace size to that midpoint is 100,000 BTU. Whether that is the right furnace depends on the house — a draughty house with tall ceilings needs the high end of the range, and a tight, well-insulated one needs the low end.
Three things about the model are worth stating plainly.
First, the range is 90,000–110,000 BTU and the furnace is 100,000 BTU — the range and the furnace are two outputs, never the same number. Second, the meaning is 100,000 BTU of furnace for 2,000 sq ft in the cold zone — the furnace that heats the home without short-cycling, not the heat load itself. And third, the furnace is a step function of the midpoint: 1,800 sq ft in the cold zone takes an 80,000 BTU furnace, but 1,801 sq ft takes a 100,000 BTU furnace — one square foot crosses the tie — all listed in Accuracy & limitations.
The full chart
| Home size | Mild zone (25–35 BTU/sq ft) | Moderate zone (35–45 BTU/sq ft) | Cold zone (45–55 BTU/sq ft) | Very cold zone (55–65 BTU/sq ft) |
|---|
| 800–1,200 sq ft | 20,000–42,000 BTU | 28,000–54,000 BTU | 36,000–66,000 BTU | 44,000–78,000 BTU |
| 1,200–1,600 sq ft | 30,000–56,000 BTU | 42,000–72,000 BTU | 54,000–88,000 BTU | 66,000–104,000 BTU |
| 1,600–2,000 sq ft | 40,000–70,000 BTU | 56,000–90,000 BTU | 72,000–110,000 BTU | 88,000–130,000 BTU |
| 2,000–2,500 sq ft | 50,000–87,500 BTU | 70,000–112,500 BTU | 90,000–137,500 BTU | 110,000–162,500 BTU |
| 2,500–3,000 sq ft | 62,500–105,000 BTU | 87,500–135,000 BTU | 112,500–165,000 BTU | 137,500–195,000 BTU |
| 3,000–4,000 sq ft | 75,000–140,000 BTU | 105,000–180,000 BTU | 135,000–220,000 BTU | 165,000–260,000 BTU |
800–1,200 sq ft: mild 20,000–42,000 BTU; moderate 28,000–54,000 BTU; cold 36,000–66,000 BTU; very cold 44,000–78,000 BTU — The smallest homes — 20,000–42,000 BTU in the mild zone, up to 44,000–78,000 BTU in the very cold zone.
1,200–1,600 sq ft: mild 30,000–56,000 BTU; moderate 42,000–72,000 BTU; cold 54,000–88,000 BTU; very cold 66,000–104,000 BTU — Small homes — 30,000–56,000 BTU in the mild zone, up to 66,000–104,000 BTU in the very cold zone.
1,600–2,000 sq ft: mild 40,000–70,000 BTU; moderate 56,000–90,000 BTU; cold 72,000–110,000 BTU; very cold 88,000–130,000 BTU — Mid-size homes — 40,000–70,000 BTU in the mild zone, up to 88,000–130,000 BTU in the very cold zone.
2,000–2,500 sq ft: mild 50,000–87,500 BTU; moderate 70,000–112,500 BTU; cold 90,000–137,500 BTU; very cold 110,000–162,500 BTU — The default row — 90,000–137,500 BTU in the cold zone, and a 100,000 BTU furnace for a 2,000 sq ft home.
2,500–3,000 sq ft: mild 62,500–105,000 BTU; moderate 87,500–135,000 BTU; cold 112,500–165,000 BTU; very cold 137,500–195,000 BTU — Larger homes — 62,500–105,000 BTU in the mild zone, up to 137,500–195,000 BTU in the very cold zone.
3,000–4,000 sq ft: mild 75,000–140,000 BTU; moderate 105,000–180,000 BTU; cold 135,000–220,000 BTU; very cold 165,000–260,000 BTU — The largest homes in the table — 75,000–140,000 BTU in the mild zone, up to 165,000–260,000 BTU in the very cold zone.
Adjustment notes — ceiling height, insulation, windows
Ceiling height. The chart assumes 8 ft ceilings. With 10 ft ceilings the heated volume is a quarter bigger, so use the high end of the range — or the next band up — and with vaulted ceilings ask an HVAC pro for a Manual J calculation.
Insulation. A well-insulated home with sealed ducts sits at the low end of the range; a poorly insulated one with draughty windows sits at the high end. Upgrading the insulation is usually cheaper than upgrading the furnace.
Windows. Large single-pane windows lose far more heat than a wall of the same size, so a home with a lot of glass needs the high end of the range — and new windows can shrink the furnace you need.
Air leakage. A tight home holds its heat; a leaky one does not. If the house has never been air-sealed, use the high end of the range.
The worked example, line by line
Setup: home size 2,000 sq ft, climate zone cold.
Line 1 — the rate. The cold zone needs 45–55 BTU per sq ft.
Line 2 — the low end. 2,000 × 45 = 90,000 BTU.
Line 3 — the high end. 2,000 × 55 = 110,000 BTU.
Line 4 — the midpoint. (90,000 + 110,000) ÷ 2 = 100,000 BTU.
Line 5 — the furnace. The nearest standard size to 100,000 BTU is 100,000 BTU.
Line 6 — the check. At 1,800 sq ft the furnace is 80,000 BTU — the midpoint is exactly 90,000 BTU, tied between 80,000 and 100,000, so the smaller size wins; and at 1,801 sq ft it is 100,000 BTU.
Every branch, checked
1,000 sq ft, mild zone: 1,000 sq ft, mild zone: 25,000–35,000 BTU — 40,000 BTU furnace
1,500 sq ft, moderate zone: 1,500 sq ft, moderate zone: 52,500–67,500 BTU — 60,000 BTU furnace
1,800 sq ft, moderate zone: 1,800 sq ft, moderate zone: 63,000–81,000 BTU — 80,000 BTU furnace
2,000 sq ft, cold zone: 2,000 sq ft, cold zone: 90,000–110,000 BTU — 100,000 BTU furnace
2,500 sq ft, mild zone: 2,500 sq ft, mild zone: 62,500–87,500 BTU — 80,000 BTU furnace
3,000 sq ft, cold zone: 3,000 sq ft, cold zone: 135,000–165,000 BTU — 140,000 BTU furnace
3,500 sq ft, moderate zone: 3,500 sq ft, moderate zone: 122,500–157,500 BTU — 140,000 BTU furnace
1,200 sq ft, cold zone: 1,200 sq ft, cold zone: 54,000–66,000 BTU — 60,000 BTU furnace
The reverses, worked backwards
Smallest home where the cold-zone high reaches 110,000 BTU: At the displayed 2,000 sq ft the figures are 2,000 sq ft, cold zone: 90,000–110,000 BTU — 100,000 BTU furnace — midpoint 100,000 BTU. At 1,999 sq ft the figures are 1,999 sq ft, cold zone: 89,955–109,945 BTU — 100,000 BTU furnace — midpoint 99,950 BTU — the high is 109,945 BTU — so 2,000 sq ft is the smallest home where the cold-zone high reaches 110,000 BTU.
Smallest home where the moderate-zone furnace reaches 80,000 BTU: At the displayed 1,751 sq ft the figures are 1,751 sq ft, moderate zone: 61,285–78,795 BTU — 80,000 BTU furnace — midpoint 70,040 BTU. At 1,750 sq ft the figures are 1,750 sq ft, moderate zone: 61,250–78,750 BTU — 60,000 BTU furnace — midpoint 70,000 BTU — the midpoint is exactly 70,000 BTU, tied, so the furnace is 60,000 BTU — so 1,751 sq ft is the smallest home where the moderate-zone furnace reaches 80,000 BTU.
Smallest home where the mild-zone low reaches 50,000 BTU: At the displayed 2,000 sq ft the figures are 2,000 sq ft, mild zone: 50,000–70,000 BTU — 60,000 BTU furnace — midpoint 60,000 BTU. At 1,999 sq ft the figures are 1,999 sq ft, mild zone: 49,975–69,965 BTU — 60,000 BTU furnace — midpoint 59,970 BTU — the low is 49,975 BTU — so 2,000 sq ft is the smallest home where the mild-zone low reaches 50,000 BTU.
Smallest home where the very-cold-zone furnace reaches 120,000 BTU: At the displayed 1,834 sq ft the figures are 1,834 sq ft, very cold zone: 100,870–119,210 BTU — 120,000 BTU furnace — midpoint 110,040 BTU. At 1,833 sq ft the figures are 1,833 sq ft, very cold zone: 100,815–119,145 BTU — 100,000 BTU furnace — midpoint 109,980 BTU — the midpoint is 109,980 BTU — a 100,000 BTU furnace — so 1,834 sq ft is the smallest home where the very-cold-zone furnace reaches 120,000 BTU.
Smallest home where the cold-zone furnace reaches 100,000 BTU: At the displayed 1,801 sq ft the figures are 1,801 sq ft, cold zone: 81,045–99,055 BTU — 100,000 BTU furnace — midpoint 90,050 BTU. At 1,800 sq ft the figures are 1,800 sq ft, cold zone: 81,000–99,000 BTU — 80,000 BTU furnace — midpoint 90,000 BTU — the midpoint is exactly 90,000 BTU, tied, so the furnace is 80,000 BTU — so 1,801 sq ft is the smallest home where the cold-zone furnace reaches 100,000 BTU.
Smallest home where the mild-zone high reaches 100,000 BTU: At the displayed 2,858 sq ft the figures are 2,858 sq ft, mild zone: 71,450–100,030 BTU — 80,000 BTU furnace — midpoint 85,740 BTU. At 2,857 sq ft the figures are 2,857 sq ft, mild zone: 71,425–99,995 BTU — 80,000 BTU furnace — midpoint 85,710 BTU — the high is 99,995 BTU — so 2,858 sq ft is the smallest home where the mild-zone high reaches 100,000 BTU.
A warning about the neighbours: every neighbour above sits one square foot from the star, and every neighbour figure is a different furnace even though the home barely changed — the tie, not the exact size, decides. The page prints the full chart so the rounding does not mislead you: R1 2,000 / 1,999 sq ft; R2 1,751 / 1,750 sq ft; R3 2,000 / 1,999 sq ft; R4 1,834 / 1,833 sq ft; R5 1,801 / 1,800 sq ft; R6 2,858 / 2,857 sq ft.
What the defaults assume
The defaults are a 2,000 sq ft home in the cold zone — 2,000 sq ft, cold zone: 90,000–110,000 BTU — 100,000 BTU furnace. With 1,000 sq ft, mild zone, 1,000 sq ft, mild zone: 25,000–35,000 BTU — 40,000 BTU furnace. With 1,500 sq ft, moderate zone, 1,500 sq ft, moderate zone: 52,500–67,500 BTU — 60,000 BTU furnace. With 1,800 sq ft, moderate zone, 1,800 sq ft, moderate zone: 63,000–81,000 BTU — 80,000 BTU furnace. With 2,000 sq ft, cold zone, 2,000 sq ft, cold zone: 90,000–110,000 BTU — 100,000 BTU furnace. With 2,500 sq ft, mild zone, 2,500 sq ft, mild zone: 62,500–87,500 BTU — 80,000 BTU furnace. With 3,000 sq ft, cold zone, 3,000 sq ft, cold zone: 135,000–165,000 BTU — 140,000 BTU furnace. With 3,500 sq ft, moderate zone, 3,500 sq ft, moderate zone: 122,500–157,500 BTU — 140,000 BTU furnace. With 1,200 sq ft, cold zone, 1,200 sq ft, cold zone: 54,000–66,000 BTU — 60,000 BTU furnace. With 0 sq ft, Enter your home size in square feet. — no home to heat — the calculator says so plainly. With 500 sq ft, mild zone, 500 sq ft, mild zone: 12,500–17,500 BTU — 40,000 BTU furnace — midpoint 15,000 BTU — the smallest standard furnace — 40,000 BTU. With 5,000 sq ft, cold zone, 5,000 sq ft, cold zone: 225,000–275,000 BTU — 200,000 BTU furnace — midpoint 250,000 BTU — above the table — the table tops out at the 200,000 BTU furnace. With 1,750.5 sq ft, moderate zone, 1,750.50 sq ft, moderate zone: 61,267.50–78,772.50 BTU — 80,000 BTU furnace — midpoint 70,020 BTU — a fractional size — the range and the furnace both follow. With 800 sq ft, very cold zone, 800 sq ft, very cold zone: 44,000–52,000 BTU — 40,000 BTU furnace — midpoint 48,000 BTU — a small home in the coldest zone — 40,000 BTU. With 1,200 sq ft, moderate zone, 1,200 sq ft, moderate zone: 42,000–54,000 BTU — 40,000 BTU furnace — midpoint 48,000 BTU — a small home in a mild zone — 40,000 BTU. With 4,000 sq ft, mild zone, 4,000 sq ft, mild zone: 100,000–140,000 BTU — 120,000 BTU furnace — midpoint 120,000 BTU — a big home in a mild zone — 120,000 BTU. With 100 sq ft, mild zone, 100 sq ft, mild zone: 2,500–3,500 BTU — 40,000 BTU furnace — midpoint 3,000 BTU — the smallest home there is — 40,000 BTU. With 2,500 sq ft, very cold zone, 2,500 sq ft, very cold zone: 137,500–162,500 BTU — 140,000 BTU furnace — midpoint 150,000 BTU — the midpoint is exactly 150,000 BTU, tied, so the smaller size wins. With 2,200 sq ft, moderate zone, 2,200 sq ft, moderate zone: 77,000–99,000 BTU — 80,000 BTU furnace — midpoint 88,000 BTU — a mid-size home — 80,000 BTU. With 10,000 sq ft, cold zone, 10,000 sq ft, cold zone: 450,000–550,000 BTU — 200,000 BTU furnace — midpoint 500,000 BTU — far above the table — the table tops out at the 200,000 BTU furnace. With 1,500 sq ft, cold zone, 1,500 sq ft, cold zone: 67,500–82,500 BTU — 80,000 BTU furnace — midpoint 75,000 BTU — a mid-size home in the cold zone — 80,000 BTU.
A note on the rounding: the BTU figures are whole numbers, and the midpoint is the average of the two ends. With a fractional home size the low and high can carry halves — 1,750.5 sq ft in the moderate zone gives 61,267.50–78,772.50 BTU — and the page prints the halves where they occur so the rounding does not mislead you.
Output · formula · meaning
| Output | Formula | What it means |
|---|
| Home size | input | 2,000 sq ft. |
| Climate zone | input | cold zone. |
| Heat load low | home size × low rate for the zone | 90,000 BTU. |
| Heat load high | home size × high rate for the zone | 110,000 BTU. |
| Midpoint | (low + high) ÷ 2 | 100,000 BTU. |
| Recommended furnace | nearest standard size to the midpoint, ties to the smaller | 100,000 BTU. |
| Verdict | the furnace for your home | 2,000 sq ft, cold zone: 90,000–110,000 BTU — 100,000 BTU furnace. |
| Reverse: Smallest home where the cold-zone high reaches 110,000 BTU | step | 2,000 sq ft: 2,000 sq ft, cold zone: 90,000–110,000 BTU — 100,000 BTU furnace — midpoint 100,000 BTU. |
| Reverse: Smallest home where the moderate-zone furnace reaches 80,000 BTU | step | 1,751 sq ft: 1,751 sq ft, moderate zone: 61,285–78,795 BTU — 80,000 BTU furnace — midpoint 70,040 BTU. |
| Reverse: Smallest home where the mild-zone low reaches 50,000 BTU | step | 2,000 sq ft: 2,000 sq ft, mild zone: 50,000–70,000 BTU — 60,000 BTU furnace — midpoint 60,000 BTU. |
| Reverse: Smallest home where the very-cold-zone furnace reaches 120,000 BTU | step | 1,834 sq ft: 1,834 sq ft, very cold zone: 100,870–119,210 BTU — 120,000 BTU furnace — midpoint 110,040 BTU. |
| Reverse: Smallest home where the cold-zone furnace reaches 100,000 BTU | step | 1,801 sq ft: 1,801 sq ft, cold zone: 81,045–99,055 BTU — 100,000 BTU furnace — midpoint 90,050 BTU. |
| Reverse: Smallest home where the mild-zone high reaches 100,000 BTU | step | 2,858 sq ft: 2,858 sq ft, mild zone: 71,450–100,030 BTU — 80,000 BTU furnace — midpoint 85,740 BTU. |
| 1,000 sq ft, mild zone | same model | 1,000 sq ft, mild zone: 25,000–35,000 BTU — 40,000 BTU furnace. |
| 1,500 sq ft, moderate zone | same model | 1,500 sq ft, moderate zone: 52,500–67,500 BTU — 60,000 BTU furnace. |
| 1,800 sq ft, moderate zone | same model | 1,800 sq ft, moderate zone: 63,000–81,000 BTU — 80,000 BTU furnace. |
| 2,000 sq ft, cold zone | same model | 2,000 sq ft, cold zone: 90,000–110,000 BTU — 100,000 BTU furnace. |
| 2,500 sq ft, mild zone | same model | 2,500 sq ft, mild zone: 62,500–87,500 BTU — 80,000 BTU furnace. |
| 3,000 sq ft, cold zone | same model | 3,000 sq ft, cold zone: 135,000–165,000 BTU — 140,000 BTU furnace. |
| 3,500 sq ft, moderate zone | same model | 3,500 sq ft, moderate zone: 122,500–157,500 BTU — 140,000 BTU furnace. |
| 1,200 sq ft, cold zone | same model | 1,200 sq ft, cold zone: 54,000–66,000 BTU — 60,000 BTU furnace. |
| 0 sq ft | same model | Enter your home size in square feet.. |
| 500 sq ft, mild zone | same model | 500 sq ft, mild zone: 12,500–17,500 BTU — 40,000 BTU furnace — midpoint 15,000 BTU. |
| 5,000 sq ft, cold zone | same model | 5,000 sq ft, cold zone: 225,000–275,000 BTU — 200,000 BTU furnace — midpoint 250,000 BTU. |
| 1,750.5 sq ft, moderate zone | same model | 1,750.50 sq ft, moderate zone: 61,267.50–78,772.50 BTU — 80,000 BTU furnace — midpoint 70,020 BTU. |
| 800 sq ft, very cold zone | same model | 800 sq ft, very cold zone: 44,000–52,000 BTU — 40,000 BTU furnace — midpoint 48,000 BTU. |
| 1,200 sq ft, moderate zone | same model | 1,200 sq ft, moderate zone: 42,000–54,000 BTU — 40,000 BTU furnace — midpoint 48,000 BTU. |
| 4,000 sq ft, mild zone | same model | 4,000 sq ft, mild zone: 100,000–140,000 BTU — 120,000 BTU furnace — midpoint 120,000 BTU. |
| 100 sq ft, mild zone | same model | 100 sq ft, mild zone: 2,500–3,500 BTU — 40,000 BTU furnace — midpoint 3,000 BTU. |
| 2,500 sq ft, very cold zone | same model | 2,500 sq ft, very cold zone: 137,500–162,500 BTU — 140,000 BTU furnace — midpoint 150,000 BTU. |
| 2,200 sq ft, moderate zone | same model | 2,200 sq ft, moderate zone: 77,000–99,000 BTU — 80,000 BTU furnace — midpoint 88,000 BTU. |
| 10,000 sq ft, cold zone | same model | 10,000 sq ft, cold zone: 450,000–550,000 BTU — 200,000 BTU furnace — midpoint 500,000 BTU. |
| 1,500 sq ft, cold zone | same model | 1,500 sq ft, cold zone: 67,500–82,500 BTU — 80,000 BTU furnace — midpoint 75,000 BTU. |
Who uses this
- The homeowner replacing a furnace: they learn a 2,000 sq ft home in the cold zone needs a 100,000 BTU furnace — and they check the 1,800 sq ft branch to see how close they are to the next size down.
- The buyer checking a quote: they learn the range for their home and zone — and they check whether the quoted furnace sits at the midpoint or oversized.
- The DIYer planning a new build: they learn the BTU per sq ft for each zone — and they check the adjustment notes to see whether their ceilings and windows push them to the high end.
- The HVAC student: they learn how the chart and the calculator agree — and they check the reverses to see where each furnace size steps up.
Accuracy & limitations
The calculator does the arithmetic exactly — home size times the rate for the zone, midpoint, nearest standard furnace size with ties to the smaller — and every figure on this page is checked against an independent model. The rates are the same ones the furnace-size calculator on this site uses, widened into a range, so the chart and the calculator agree. What it cannot do is a Manual J load calculation: ceiling height, insulation, windows, air leakage, orientation and duct losses all move the real load, and a home at the edge of a band can need the next size up or down. A furnace that is too big short-cycles — it heats the house in bursts, wears out faster and leaves cold spots — so when the midpoint ties, the chart picks the smaller size. For a final purchase, get a Manual J from an HVAC pro.
Cite this calculator
BTU per sq ft: mild 25–35, moderate 35–45, cold 45–55, very cold 55–65. On the defaults — 2,000 sq ft, cold zone — the furnace needs 90,000–110,000 BTU and the recommended furnace is 100,000 BTU. Smallest home where the cold-zone high reaches 110,000 BTU: 2,000 sq ft. Smallest home where the moderate-zone furnace reaches 80,000 BTU: 1,751 sq ft. Smallest home where the mild-zone low reaches 50,000 BTU: 2,000 sq ft. Smallest home where the very-cold-zone furnace reaches 120,000 BTU: 1,834 sq ft. Smallest home where the cold-zone furnace reaches 100,000 BTU: 1,801 sq ft. Smallest home where the mild-zone high reaches 100,000 BTU: 2,858 sq ft. Source: Bright Side Kit, brightoolbox.com.
Embed this calculator
Frequently asked questions
What size furnace do I need for a 2,000 sq ft home?
In the cold zone, 90,000–110,000 BTU — a 100,000 BTU furnace. In the mild zone it is 50,000–87,500 BTU, in the moderate zone 70,000–112,500 BTU, and in the very cold zone 110,000–162,500 BTU. Pick your zone in the lookup above.
How many BTU per square foot does a furnace need?
Mild zone 25–35, moderate zone 35–45, cold zone 45–55, very cold zone 55–65 BTU per sq ft. The same rates the furnace-size calculator on this site uses, widened into a range.
What happens if the furnace is too big?
It short-cycles: it heats the house in bursts, wears out faster and leaves cold spots. That is why ties go to the smaller size — at 3,000 sq ft in the cold zone the midpoint is exactly 150,000 BTU, tied between 140,000 and 160,000, so the furnace is 140,000 BTU.
What if my home is bigger than the table?
The table tops out at the 200,000 BTU furnace — the largest standard residential size. A 5,000 sq ft home in the cold zone needs 225,000–275,000 BTU, so ask an HVAC pro about two furnaces or a commercial unit.
How does ceiling height change the furnace size?
The chart assumes 8 ft ceilings. With 10 ft ceilings the heated volume is a quarter bigger, so use the high end of the range — or the next band up — and with vaulted ceilings get a Manual J calculation.
What about insulation and windows?
A well-insulated home with sealed ducts sits at the low end of the range; a poorly insulated one with draughty windows sits at the high end. Large single-pane windows lose far more heat than a wall of the same size.
What is the difference between input and output BTU?
Input BTU is the fuel the furnace burns; output BTU is the heat it delivers to the house. A 100,000 BTU furnace at 80% efficiency delivers 80,000 BTU of heat. The chart gives the heat the home needs — check the furnace’s output, not just its input, when you buy.
How is this different from the furnace-size calculator?
The chart is a lookup table: home size by climate zone, with the range and the furnace for every band. The furnace-size-calculator page works out one home size and one zone to a point figure. Both use the same rates, so they agree.