The Foot to Meters Formula in One Line
To convert feet to metres, multiply by 0.3048:
$$\text{Length in m} = \text{Length in ft} \times 0.3048$$
Quick Answer.
Result: $1 \text{ ft} = 0.3048 \text{ m}$ (exact, by definition). Notation: $\text{m} = \text{ft} \times 0.3048$. Method shown: Direct multiplication by the exact conversion factor 0.3048 m/ft, fixed by the 1959 International Yard and Pound Agreement. Exact form: $\tfrac{3048}{10000}$ m (an exact terminating decimal). Approximate decimal: $0.3048$.
Quick Reference Table
Feet | Metres |
|---|---|
$1$ | $0.3048$ |
$2$ | $0.6096$ |
$3$ | $0.9144$ |
$5$ | $1.524$ |
$6$ | $1.8288$ |
$10$ | $3.048$ |
$20$ | $6.096$ |
$50$ | $15.24$ |
$100$ | $30.48$ |
$1{,}000$ | $304.8$ |
$5{,}280$ (1 mile) | $1{,}609.344$ |
Reverse direction — metres back to feet — divides by 0.3048 (equivalently, multiplies by $\approx 3.281$).
Where the Foot to Meters Formula Shows Up
This conversion lives in every aviation altitude readout — pilots fly altitudes in feet (Flight Level 350 = 35,000 ft = 10,668 m), while every other speed and distance is in metric. It appears on every building blueprint that crosses national borders, on every Olympic high-jump and pole-vault board (heights logged in metres for records but reported in feet in US press coverage), and on every spec sheet for telecom towers — antenna heights logged in metres globally, in feet in US filings.
Why the Conversion Factor Is Exactly 0.3048
The number 0.3048 isn't an approximation — it's a definition. On 1 July 1959, the United States, United Kingdom, Canada, Australia, New Zealand, and South Africa signed the International Yard and Pound Agreement, fixing:
$$1 \text{ yard} = 0.9144 \text{ metres (exact)}.$$
Since $1 \text{ yard} = 3 \text{ feet}$:
$$1 \text{ foot} = \frac{0.9144}{3} = 0.3048 \text{ metres (exact)}.$$
Before 1959, the US "survey foot" and the UK "imperial foot" differed by about two parts per million. The 1959 agreement pegged a single international foot to the metre — the SI base unit — to remove the discrepancy. Aviation and engineering use the international foot. US land surveying retained the old US survey foot (0.30480061 m) for legacy reasons, until that too was retired in 2023.
The conversion factor is exact. Any rounding you apply (0.3, 0.30, 0.305) is an approximation you introduced — the underlying definition is precise.
How to Convert Foot to Meters — Three Methods
Method 1: Multiply by 0.3048.
For $f$ feet, the length in metres is $f \times 0.3048$.
Method 2: The "÷ 3.281" shortcut.
Equivalent reverse operation: $f / 3.281 \approx f \times 0.3048$. Used when only the reciprocal is convenient.
Method 3: Approximate with $\times 0.3$ for quick mental arithmetic.
Loses about 1.6% precision. Acceptable for "rough sense of size" — useless for precision work.
Final answer in all three: Method 1 is the only exact form.
Three Worked Examples of Foot to Meters — Quick, Standard, Stretch
Quick. Convert 6 feet to metres.
$$6 \times 0.3048 = 1.8288 \text{ m}.$$
Final answer: $1.8288 \text{ m}$ (about 1.83 m).
Standard (Wrong Path First — The Mistake Worth Making Once). A doorway is 7 feet tall. Convert to metres.
The wrong path. A student rounds 0.3048 to 0.3 for ease: $7 \times 0.3 = 2.1 \text{ m}$.
A real 7-ft doorway should measure 2.1336 m. The rounded answer is off by 3.36 cm — more than an inch. For a building inspector or an architect, that gap is a build error.
The flaw: treating 0.3048 as approximately 0.3 introduces a 1.6% error. On any length larger than 3 ft, the error rounds the dimension by an amount visible to the eye.
The rescue. Use the exact factor:
$$7 \times 0.3048 = 2.1336 \text{ m}.$$
Final answer: $2.1336 \text{ m}$.
Stretch. The cruising altitude of a commercial aircraft is reported as Flight Level 380 — i.e., 38,000 feet. Convert to metres, and to kilometres.
$$38{,}000 \times 0.3048 = 11{,}582.4 \text{ m} = 11.5824 \text{ km}.$$
Final answer: $11{,}582.4$ m, or $11.5824$ km.
That altitude — about 11.6 km — sits in the lower stratosphere, just above most weather and well below the ozone layer's peak density. The conversion is a one-line operation that converts a US aviation convention to the metric scientific framing in a single multiplication. Skip the conversion and every meteorological model is off by a factor.
Common Mistakes With the Foot to Meters Conversion
Mistake 1: Rounding 0.3048 to 0.3.
Where it slips in: Mental arithmetic on small numbers — $5 \times 0.3 = 1.5$ feels easier than $5 \times 0.3048 = 1.524$.
Don't do this: Drop the last two digits of the conversion factor "to keep things tidy." The conversion factor is exact and the rounding is a 1.6% loss.
The correct way: For precision work, use 0.3048. For genuinely rough estimates, "3 ft ≈ 1 m" is the useful approximation — quicker to remember and clearly an estimate.
Mistake 2: Confusing the foot with the square foot in area conversions.
Where it slips in: Converting a room's area (e.g., 100 ft²) to m² using the linear factor 0.3048 — and getting 30.48 m² when the right answer is 9.29 m².
Don't do this: Apply the linear conversion factor to a squared unit.
The correct way: Square the conversion factor for area: $1 \text{ ft}^2 = (0.3048)^2 \text{ m}^2 = 0.09290304 \text{ m}^2$. Cube it for volume: $1 \text{ ft}^3 = (0.3048)^3 \text{ m}^3 = 0.0283168 \text{ m}^3$.
On the McKinney whiteboard, the Bhanzu Grade 7 trainer draws three side-by-side boxes — 1 ft, 1 ft², 1 ft³ — and labels each with its metric equivalent before any worksheet starts. The picture makes the squared-and-cubed conversion factors stick within one session.
Mistake 3: Mixing up direction (ft to m vs m to ft).
Where it slips in: Converting 10 metres to feet by multiplying by 0.3048 — giving 3.048, which is way too small.
Don't do this: Apply the same factor in both directions.
The correct way: Going to a smaller unit (1 m has fewer feet than the corresponding number of feet in metres), the number gets larger. So $m \to ft$ multiplies by $\approx 3.281$, not 0.3048. Test: does the result feel right in size? 10 m should be about 32.8 ft.
A real-world version of the unit-misuse mistake. In 1983, Air Canada Flight 143 — the "Gimli Glider" — ran out of fuel at 41,000 ft over Ontario because a ground crew calculated the fuel load in pounds when the new metric-equipped Boeing 767 needed it in kilograms. The aircraft was filled with less than half the fuel the flight plan required. The pilots glided it to a deadstick landing on a decommissioned air-base runway at Gimli, Manitoba. Nobody died. The same structural mistake — applying a unit conversion in the wrong direction — turns a 41,000-ft flight into a glider. The conversion factor is just arithmetic; the consequence is everything.
Bottom Line
The foot to meters formula is $\text{m} = \text{ft} \times 0.3048$, with 0.3048 exact by international agreement.
The factor was fixed in the 1959 International Yard and Pound Agreement to align imperial and metric measurement across the English-speaking world.
The most common error is rounding 0.3048 to 0.3 — a 1.6% precision loss that turns a 7-ft doorway into a 2.1 m mismeasure instead of the correct 2.1336 m.
For area and volume, square or cube the conversion factor: $1 \text{ ft}^2 = 0.0929 \text{ m}^2$; $1 \text{ ft}^3 = 0.0283 \text{ m}^3$.
Quick Self-Check — Try These
Convert 12 ft to metres.
A swimming pool is 25 ft long. What is its length in metres?
Mount Everest is 29,029 ft tall. Convert to kilometres
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