3 inches in meters

Conversion

3 inches is equivalent to 0.0762 meters.^[1]

Conversion formula
How to convert 3 inches to meters?

We know (by definition) that: $1 in = 0.0254 m$

We can set up a proportion to solve for the number of meters.

\frac{1 in}{3 in} = \frac{0.0254 m}{x m}

Now, we cross multiply to solve for our unknown $x$ :

x m = \frac{3 in}{1 in} * 0.0254 m \to x m = 0.07619999999999999 m

Conclusion: $3 in = 0.07619999999999999 m$

Conversion in the opposite direction

The inverse of the conversion factor is that 1 meter is equal to 13.1233595800525 times 3 inches.

It can also be expressed as: 3 inches is equal to $\frac{1}{13.1233595800525}$ meters.

Approximation

An approximate numerical result would be: three inches is about zero point zero eight meters, or alternatively, a meter is about thirteen point one one times three inches.

Units involved

This is how the units in this conversion are defined:

Inches

The inch (abbreviation: in or ″) is a unit of length in the imperial and United States customary systems of measurement now formally equal to 1⁄36 yard but usually understood as 1⁄12 of a foot. Derived from the Roman uncia (twelfth), inch is also sometimes used to translate related units in other measurement systems, usually understood as deriving from the width of the human thumb. Traditional standards for the exact length of an inch have varied in the past, but since the adoption of the international yard during the 1950s and 1960s it has been based on the metric system and defined as exactly 2.54 cm.

Wikipedia page of inches

Meters

"The metre (international spelling) or meter (American spelling), (from the Greek noun μέτρον, \"measure\") is the base unit of length in the International System of Units (SI). The SI unit symbol is m. The metre is defined as the length of the path travelled by light in a vacuum in 1/299792458 seconds."

Wikipedia page of meters

Footnotes

[1] The precision is 15 significant digits (fourteen digits to the right of the decimal point).

Results may contain small errors due to the use of floating point arithmetic.

Conversion

Conversion formula How to convert 3 inches to meters?

Conversion in the opposite direction

Approximation

Conversion formula
How to convert 3 inches to meters?