Duct Calculator

A free duct size calculator and online ductulator: enter the airflow and get the round, rectangular or oval duct size, the air velocity and the friction loss.

HVAC contractors: price the duct job with your own hours, rate, markup and margin.

The air

Duct shape

Work out the friction rateStatic pressure, duct length and bends

Enter the static pressure left after the filter, coil, registers and grilles. The friction rate then comes from static pressure × 100 ÷ total effective length.

Round duct size
0 in

See full breakdown
    Quick answer

    Duct size comes from airflow and speed: divide the airflow by the air velocity to get the area (Area = CFM ÷ FPM), then turn that area into a round diameter or a rectangle. Homes are usually designed at a friction rate of 0.05 to 0.10 in. w.g. per 100 ft, which comes from available static pressure × 100 ÷ total effective length. Plan on about 400 CFM per ton: a 2 ton system moves 800 CFM, which fits a 13 inch round metal trunk at 0.10. Flex duct has more friction than sheet metal, so it often needs one size up.

    Duct sizing formula

    How to calculate duct size

    A duct has to pass two checks: the air has to move slowly enough to stay quiet, and the run has to stay inside your friction budget. This duct size calculator runs both and keeps whichever one asks for the bigger duct.

    Size by velocity keeps the air quietSize by friction rate keeps static pressure in budget
    You enterAirflow in CFM and the fastest velocity you will allow, in FPMAirflow in CFM and a friction rate in in. w.g. per 100 ft
    The mathArea (sq ft) = CFM ÷ FPM, × 144 for square inchesFriction loss per 100 ft = 0.109 × CFM1.9 ÷ diameter5.02, solved for the diameter
    Round sizeDiameter (in) = √(4 × area ÷ π), area in square inchesThe diameter that lands exactly on your friction rate
    Flex ductSame area, since velocity does not depend on the duct wallCounted at 1.5 times the friction of sheet metal, so the size comes out bigger
    Rectangle or ovalSet one side and size the other until its equivalent round matches: 1.30 × (a × b)0.625 ÷ (a + b)0.25 for a rectangle
    Final sizeTake the larger of the two diameters, then round up to the next whole inch

    Worked example: a 2 ton system, sheet metal, 0.10 friction rate, 900 FPM limit

    Airflow800 CFM2 tons × 400 CFM
    ÷
    Velocity limit900 FPMresidential supply
    =
    Area128 sq in0.89 sq ft, 12.8 in round
    →
    Duct size13 in round868 FPM, 0.09 friction

    The friction method lands on the same 12.8 inches at 0.10, so the run goes in at 13 inches.

    Use cases

    When to use this duct size calculator

    Reach for this HVAC ductwork calculator whenever a run needs a size, a velocity check or a friction number and the paper ductulator is back in the truck.

    • New installs: size every trunk and branch from the room CFM before any pipe gets cut. Getting it right on paper costs far less than tearing out a choked run after the drywall is up, and it keeps the blower from fighting the ducts for the life of the system.
    • Renovations and additions: check whether the existing trunk can feed a new room or has to go up a size.
    • Comfort and noise complaints: a room that never cools or a register that whistles often traces back to a run that is too small for its airflow. Switch to Airflow, enter the duct you found in the attic and see how much air it can really carry.
    • Comparing system sizes: see how the trunk changes between a 2, 3 and 4 ton system.
    • Energy efficient designs: an undersized run pushes static pressure up and makes the blower work harder, which costs efficiency and motor life. Check every run here before the layout is final.
    • Round, rectangular or oval: turn a round size into a rectangle that fits a joist bay, or check what an old rectangular trunk equals in round.
    • Flex or sheet metal: see how much bigger a flex run has to be for the same CFM.
    • Pricing the duct job: HVAC contractors can switch to the Price the duct job tab and turn the run length, materials and crew hours into a quote with their own rate, markup and margin. The tab also shows what installed duct usually costs per linear foot, so a quote that sits far outside the normal range stands out before it goes to the customer.
    • Checking a contractor's proposal: homeowners can confirm that the duct sizes on a bid make sense for the system going in.
    Duct size chart

    Duct size chart: how much air each size carries

    Typical capacities at a 0.10 friction rate and 600 to 900 FPM. Flex carries less than metal of the same diameter.

    Round sizeSheet metalFlex duct
    4 in35 to 50 CFM25 to 40 CFM
    5 in60 to 80 CFM50 to 70 CFM
    6 in100 to 125 CFM75 to 110 CFM
    7 in150 to 175 CFM110 to 150 CFM
    8 in200 to 250 CFM150 to 200 CFM
    9 in270 to 325 CFM220 to 280 CFM
    10 in350 to 400 CFM300 to 360 CFM
    12 in525 to 700 CFM450 to 600 CFM
    14 in770 to 950 CFM650 to 850 CFM
    16 in1,100 to 1,300 CFM950 to 1,200 CFM
    18 in1,400 to 1,700 CFMNot listed
    20 in1,750 to 2,000 CFMNot listed
    Rectangular ductRound equivalent
    6 × 6 in6.6 in
    8 × 6 in7.6 in
    10 × 6 in8.4 in
    12 × 6 in9.1 in
    8 × 8 in8.6 in
    10 × 8 in9.8 in
    12 × 8 in10.7 in
    16 × 8 in12.2 in
    10 × 10 in10.9 in
    12 × 10 in12.0 in
    16 × 10 in13.7 in
    12 × 12 in13.1 in

    A rectangle loses the same pressure as its round equivalent at equal airflow, so read its capacity off the round column. Keep rectangles at 4 to 1 or squarer: a 24 × 4 duct has far more friction than a 12 × 8 of the same area.

    Room airflow

    How much airflow does each room need?

    Work from the cooling load. One ton of cooling moves about 400 CFM, and each room gets its share of that total in proportion to its own load.

    Per ton of cooling400 CFM350 CFM in humid climates
    Per room, by floor area1 CFM per 1 to 1.25 sq ftup to 2 CFM per sq ft in sunny rooms
    One ton of cooling12,000 BTU/htons = load ÷ 12,000
    System size1.5 ton2 ton2.5 ton3 ton4 ton5 ton
    Airflow at 400 CFM per ton6008001,0001,2001,6002,000
    66.67 CFM
    Room CFM = room load ÷ whole house load × system CFM. A room with a 2,000 BTU load in a 24,000 BTU house on a 2 ton, 800 CFM system gets 2,000 ÷ 24,000 × 800 = 66.67 CFM.
    Friction and velocity

    What friction rate and air velocity should you design to?

    Residential systems usually sit between 0.05 and 0.10 in. w.g. per 100 ft, and 0.10 is the common default. A lower rate gives bigger, quieter ducts; a higher rate allows smaller ducts with more noise and more work for the blower.

    ApplicationFriction rate (in. w.g. per 100 ft)
    Residential supply0.08
    Residential return0.06
    Commercial, low pressure0.08 to 0.10
    Commercial, medium pressure0.10 to 0.20
    Commercial, high pressure0.20 to 0.60
    Industrial0.30 to 1.00
    900 FPM
    Keep residential supply air under this to avoid noise, and returns under 700 FPM. Supply trunks typically run 700 to 900 FPM and branch runs 400 to 600.
    0.145
    Your own friction rate: a blower rated 0.5 in. w.g., minus 0.03 for the register, 0.03 for the grille and 0.15 for the filter, leaves 0.29 of available static pressure. Over 200 ft of total effective length, that is 0.29 × 100 ÷ 200 = 0.145.
    Total effective length

    How do elbows and fittings change the duct size?

    Every elbow and takeoff adds resistance you can count as extra feet of straight duct. Total effective length is the straight run plus the equivalent length of every fitting on the longest run, and it sets the friction rate.

    FittingEquivalent length, sheet metalEquivalent length, flex (× 1.5)
    45 degree elbow5 ft7.5 ft
    90 degree elbow10 ft15 ft
    180 degree return bend20 ft30 ft
    Branch takeoff25 to 35 ft37.5 to 52.5 ft

    Counting only the straight pipe can understate the resistance of a run by 30% to 50%. Leave at least 2 ft of straight duct between a takeoff, fitting or register and the next bend.

    0.03
    Manual D allows about 0.03 in. w.g. each for a supply register, a return grille and a balancing damper. Take those, the filter and the coil off the blower rating before you work out the friction rate.
    Size drivers

    What changes the duct size?

    The same 800 CFM can need a 13 inch round metal run or a 14 inch flex run. These inputs move the answer.

    FactorWhat changes the sizeTypical effect
    Airflow (CFM)More air needs more area.400 CFM fits 10 in round; 1,200 CFM needs 16 in
    Friction rateA lower rate leaves less pressure for each foot of duct, so every run gets bigger.A 10 in round carries about 419 CFM at 0.10 and 372 CFM at 0.08
    Velocity limitFaster air allows a smaller duct but turns into noise at the registers.Supply under 900 FPM, return under 700
    Duct materialFlex has a corrugated inside wall that adds friction. Sag, kinks and compression add more, so flex only performs when it is pulled tight.10% to 20% less CFM than metal of the same size; often one size up
    ShapeRound has the lowest friction for its area. A rectangle fits framing cavities but loses more to friction.A 12 × 8 rectangle equals a 10.7 in round
    FittingsEach elbow and takeoff counts as extra feet of duct.A 90 degree elbow adds about 10 ft
    Static pressureThe filter, coil, registers and grilles take their share of the blower's pressure first. The less that is left, the larger the ducts.0.29 left from a 0.5 blower in the example above
    Long flex runsMultiple bends or a long pull of flex adds friction quickly.Go one size up past 25 ft or with several bends
    For HVAC pros

    How do HVAC pros size ductwork?

    ACCA Manual D is the standard for residential duct design. The field version comes down to six steps, and equal friction is the usual method for homes:

    1. Run the loadDo a Manual J load for the whole house and for each room.
    2. Find the tonnageDivide the whole house load by 12,000 BTU per ton. A 28,000 BTU load works out to 2.33, which rounds up to a 2.5 ton unit.
    3. Set system airflowTons × 400 CFM.
    4. Split it by roomRoom load ÷ house load × system CFM. A room with lots of windows or direct sun can need close to 2 CFM per square foot, so do not shortcut this one with floor area alone.
    5. Set the friction rateAvailable static pressure × 100 ÷ total effective length of the longest run.
    6. Size each runEnter the room CFM and friction rate, check velocity, and take the bigger size. Velocity reduction and static regain are the alternatives, mostly on larger commercial systems with long trunks.

    The Size a duct tab handles steps 5 and 6.

    Ductwork cost

    How much does ductwork cost to install?

    Installing ductwork averages about $9,293 for a 2,500 sq ft home with around 275 linear feet of duct, and most jobs land between $1,436 and $17,149. Material and access move the price more than anything else.

    Duct materialReplace existing, per linear ftNew, no ducts there now, per linear ft
    Galvanized sheet metal$21.38 to $62.36$19.51 to $58.95
    Galvanized spiral$9.06 to $37.14$6.81 to $30.33
    Flex, uninsulated$6.95 to $28.95$5.22 to $20.76
    Flex, insulated$6.75 to $34.19$5.43 to $26.00

    A 1,200 sq ft house runs about $689 to $8,232 and a 3,500 sq ft house $2,009 to $24,008. Permits usually add $50 to $400, and hauling away old duct $100 to $800.

    $83 to $151
    What HVAC mechanics typically charge per hour to install ductwork, depending on the scope and the area.
    $29.33
    The Bureau of Labor Statistics median hourly wage for heating, air conditioning and refrigeration mechanics (2025 data). A shop bills well above that because the hour has to pay for the van, insurance, tools, dispatch and profit too, so duct work gets priced from a loaded labor rate.
    For HVAC pros

    What profit margin should an HVAC business aim for?

    Set the margin in the Price the duct job tab against these. Gross margin covers the job itself, labor and materials only. Net margin is the slice that survives overhead, trucks, insurance and the owner's own salary.

    MarginIndustry averageWell run HVAC companies
    Gross profit margin30% to 40%50% to 55%+
    Net profit marginAbout 10%17% to 20%+

    A net margin under 10% leaves a shop exposed to slow seasons, cash crunches and new competition.

    HVAC owners: the first hot week decides who gets the duct work.

    No cool calls pile up the moment the heat arrives, and a homeowner sweating through voicemail will book whoever picks up first. ServiceAgent answers every call day and night, books the visit into your calendar and follows up on open quotes, so the replacements and duct jobs land with your crew.

    Book a free demo
    350,000+calls handled for home service businesses, as reported by ServiceAgent
    FAQ

    Frequently asked questions

    Quick answers on duct sizes, airflow, friction rates and how this ductulator works.

    Book a free demo
    What size duct do I need for a 12x12 room?

    A 12 x 12 room is 144 sq ft, which works out to about 115 to 144 CFM at 1 CFM per 1 to 1.25 sq ft. At a 0.10 friction rate that is a 7 inch round sheet metal run. In flex, the 144 CFM end needs an 8 inch duct.

    What size duct do I need for 5,000 CFM?

    At a 0.10 friction rate, 5,000 CFM needs a round duct of about 25.6 inches, so 26 inches. If you also hold the air to 900 FPM, the size grows to 32 inches. Enter your own velocity limit above to see the size in between.

    How do I calculate ductwork for an HVAC system?

    Find the airflow first: tons of cooling × 400 CFM for the system, then room load ÷ house load × system CFM for each room. Divide each run's CFM by the velocity you will allow to get the area, convert that to a diameter, and check it against your friction rate. Use the bigger of the two sizes.

    How many CFM per ton should I use?

    About 400 CFM per ton of cooling is the usual baseline. Humid climates often drop to 350 CFM per ton to pull more moisture out of the air.

    What friction rate should I use for duct sizing?

    Residential systems usually sit between 0.05 and 0.10 in. w.g. per 100 ft, with about 0.08 for supply and 0.06 for return. For an exact number, take the available static pressure × 100 and divide by the total effective length of the longest run.

    Does flex duct need to be bigger than sheet metal?

    Usually, yes. Flex has a corrugated inside wall, so it is counted at about 1.5 times the friction of sheet metal and carries roughly 10% to 20% less air at the same diameter. Go one size up when a flex run has several bends or runs past 25 ft.

    How accurate is this duct size calculator?

    It uses the standard equal friction equation for round galvanized duct, the velocity method and the published equivalent diameter formulas for rectangular and oval duct. That is right for planning and checking residential and commercial runs. A final design should still follow ACCA Manual D for the actual house, equipment and fittings.

    What is a ductulator?

    A ductulator is the round slide rule HVAC techs use to match airflow, friction rate, velocity and duct size. This online ductulator does the same math and adds rectangular and oval sizes, flex duct and the friction rate from your static pressure.

    Can I oversize ducts to cut noise?

    Larger ducts slow the air down, which makes them quieter, but they cost more and an oversized run can drop velocity so far that air no longer reaches across the room. Size to your velocity limit instead of guessing big.

    Does the duct calculator include installation costs?

    The Size a duct tab only sizes the duct. The Price the duct job tab builds the cost: crew hours, rate, materials, markup and margin, compared with typical installed prices of $21.38 to $62.36 per linear foot for sheet metal and $6.75 to $34.19 for flex when replacing existing ducts.

    Who worked on this
    Headshot of Shaambhav Shankar
    Written byShaambhav ShankarGrowth and Product Marketing, ServiceAgent

    Leads growth and product marketing for ServiceAgent at SaaS Labs, where he has worked in product marketing since 2020. Writes ServiceAgent's coverage of AI call answering, CRM and home services operations.

    Headshot of Marcus Chen
    Reviewed byMarcus ChenHVAC Industry Expert, Reviewer

    NATE certified Master HVAC Technician with 14 years in residential and light commercial HVAC. Former Senior Service Tech at Trane Austin, now reviews HVAC content for ServiceAgent.

    Published by ServiceAgent, the AI front office for home service teams. Duct sizes and prices are estimates for planning. A final duct design should follow ACCA Manual D for the actual house, equipment and fittings, and every price should come from a written quote.