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Conversion

Cubic Feet to US gallons

1 ft³ = 7.48052 US gal, derived from exact unit definitions.

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Cubic Feet → US gallons reference
ft³US gal
1 ft³7.48 US gal
2 ft³14.96 US gal
5 ft³37.40 US gal
7.48 ft³55.95 US gal
10 ft³74.81 US gal
25 ft³187.01 US gal
50 ft³374.03 US gal
100 ft³748.05 US gal
500 ft³3,740.26 US gal
Formulas
US gallons = cubic feet × 1728 / 231 = cubic feet × 576 / 77 = cubic feet × 7.480519480519… (repeating)Exact as the fraction 576/77. The decimal repeats the block 480519 forever, so 7.480519481 is a rounding — an excellent one, but a rounding.

How to convert cubic feet to US gallons

This is the conversion that turns a geometry result into a capacity. You calculate a tank's volume in cubic feet from its dimensions, then bring it into the unit the trade actually uses.

  1. Get the volume in cubic feet from internal dimensions. Shell thickness, internal baffles and dished heads all belong in the geometry step, not here.
  2. Multiply by 7.480519481 (or divide by 0.133680556 — same thing).
  3. Check the magnitude: gallons should be roughly seven and a half times the cubic-foot figure.
Worked example

A horizontal cylindrical tank, 4 ft diameter × 10 ft long

  1. Cross-section: π × (4/2)² = 12.56637 ft²
  2. Volume: 12.56637 × 10 = 125.6637 ft³
  3. 125.6637 × 7.480519481 = 940.0 US gal

≈ 940 US gallons

Flat-ended only. Dished or elliptical heads add capacity — use the dished-end calculator rather than assuming flat.

Worked example

A rectangular concrete sump, 6 ft × 3 ft × 2 ft deep

  1. Volume: 6 × 3 × 2 = 36 ft³
  2. 36 × 7.480519481 = 269.3 US gal

36 ft³ = 269 US gallons

For secondary containment under 40 CFR § 112.8(c)(2), the sump must hold the entire capacity of the largest single container plus freeboard for rain — so compare this 269 gal against the tank it serves, not against the total site inventory.

Worked example

A cubic yard of liquid

  1. 1 yd³ = 27 ft³
  2. 27 × 7.480519481 = 201.974 US gal

1 cubic yard = 201.97 US gallons

Where the factor comes from

Derivation
1 foot = 12 inches 1 ft³ = 12³ = 1728 in³ exactly 1 US gal ≡ 231 in³ exactly 1 ft³ = 1728 / 231 gal = 576 / 77 gal (lowest terms) = 7.480519480519… repeating, period 6Both inputs are exact integers, so the ratio is an exact rational number. It simply happens not to have a terminating decimal, because 77 = 7 × 11 and neither factor divides a power of ten.

NIST Handbook 44's Appendix C conversion table prints this as 7.480 519, which is the same number truncated to seven figures.

Rounding: the 7.48 shortcut

Nearly every field handbook uses 7.48. It runs 0.0069 % low — genuinely negligible below a few thousand gallons, and worth a moment's thought above that.

Error from the 7.48 shortcut
VolumeExact (gal)Using 7.48Shortfall
36 ft³ (sump)269.30269.280.02 gal
125.66 ft³ (4×10 tank)940.00939.930.07 gal
1,336.8 ft³ (10,000 gal)10,0009,999.30.7 gal
13,368.1 ft³ (100,000 gal)100,00099,9937 gal
The bigger error is upstream. On a real tank, an eighth of an inch of error in a measured diameter moves the answer far more than the sixth digit of the conversion factor. On a 4 ft × 10 ft cylinder, ⅛ in on the diameter is about 4.9 gallons — fifty times the 7.48 rounding error. Measure carefully, then convert precisely.

FAQ

How many gallons are in a cubic foot?

7.480519480519… US gallons, repeating. It is the exact fraction 1728/231, which reduces to 576/77. The familiar 7.48 is that value rounded to three figures.

Why is the number 7.48 and not something rounder?

Because the foot and the gallon were standardised independently. A cubic foot is 1728 cubic inches and a gallon is 231 cubic inches, and 1728 is not a tidy multiple of 231.

Is 7.48 good enough?

For most tank work, yes — it is 0.0069 % low, about 0.7 gallons on a 10,000-gallon tank. Measurement error in the tank dimensions will normally dwarf it.

How do I get cubic feet in the first place?

From internal dimensions and the right shape formula: L × W × H for rectangular, π(D/2)²L for a flat-ended cylinder, and a partial-fill formula for a horizontal cylinder gauged part-full. The formula library lists each one.

Does this work for gases?

Not as a quantity conversion. A cubic foot of gas depends entirely on temperature and pressure, which is why gas is metered in standard cubic feet referred to fixed base conditions. The geometric conversion is unchanged; the meaning of the number is not.

Sources and standards

Every factor on this page is traced to the document that defines it. Where a value is exact, it is exact because the cited standard makes it so — not because we rounded it well.

  1. Handbook 44, Appendix C — General Tables of Units of MeasurementNational Institute of Standards and Technology, U.S. Department of Commercehttps://www.nist.gov/document/2026-nist-handbook-44-appendix-cThe legal-metrology reference for U.S. customary units. Fixes the U.S. liquid gallon at exactly 231 cubic inches and tabulates the full liquid-volume chain (minim → fluid dram → fluid ounce → gill → pint → quart → gallon).
  2. Special Publication 811, Appendix B.8 — Factors for Units Listed AlphabeticallyNational Institute of Standards and Technologyhttps://www.nist.gov/pml/special-publication-811/nist-guide-si-appendix-b-conversion-factors/nist-guide-si-appendix-b8NIST's master table of conversions into SI. Factors printed in boldface are exact by definition rather than measured or rounded — which is how you tell a defined unit from an approximated one.
  3. 40 CFR § 112.8(c)(2) — Spill Prevention, Control, and Countermeasure Plan requirements for onshore facilitiesU.S. Environmental Protection Agency, via the electronic Code of Federal Regulationshttps://www.ecfr.gov/current/title-40/chapter-I/subchapter-D/part-112/subpart-B/section-112.8Requires secondary containment sized for the entire capacity of the largest single container, plus sufficient freeboard to contain precipitation. Note that the rule itself does not state “110 %” — that is a common design convention layered on top of the regulatory floor.
  4. Unit Conversion — Office of Weights and MeasuresNational Institute of Standards and Technologyhttps://www.nist.gov/pml/owm/metric-si/unit-conversionNIST's index page explaining which of its publications governs which kind of conversion: SP 811 for exact factors, Handbook 44 Appendix C for trade and commerce, Handbook 133 Appendix E for packaged goods.

Every linked source above was retrieved and checked on 2026-09-02. Factors quoted as exact are exact by definition in the cited document, not rounded by us.

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