Area and volume converter

Convert area and volume units from one value and its input unit, with every compatible unit shown together.

Link to these inputs Opening or sharing this link puts your inputs in a URL sent to the server, which may remain in browser history and request logs.

Result

Square metres (m²): 0.09290304 m²
Square centimetres (cm²): 929.0304 cm²
Square inches (in²): 144 in²
Square feet (ft²): 1 ft²
Cubic metres (m³): Choose a volume unit.
Cubic centimetres (cm³): Choose a volume unit.
Litres (L): Choose a volume unit.
Cubic inches (in³): Choose a volume unit.
Cubic feet (ft³): Choose a volume unit.
US gallons (US gal): Choose a volume unit.

Not engineering advice. Have a licensed professional check every result. Not a substitute for a licensed engineer, the manufacturer's data or the authority having jurisdiction; confirm the code edition your jurisdiction has adopted. Converts units only; this is not a code reading. Exact unit definitions with no code limit, so no trade check is pending. Terms of use and estimate disclaimer.

Working

Convert to m²
$x_{out} = x_{in}\frac{f_{in}}{f_{out}}$
1 ft² × 0.09290304 ÷ 1
= 0.09290304 m²
Convert to cm²
$x_{out} = x_{in}\frac{f_{in}}{f_{out}}$
1 ft² × 0.09290304 ÷ 0.0001
= 929.0304 cm²
Convert to in²
$x_{out} = x_{in}\frac{f_{in}}{f_{out}}$
1 ft² × 0.09290304 ÷ 0.00064516
= 144 in²
Convert to ft²
$x_{out} = x_{in}\frac{f_{in}}{f_{out}}$
1 ft² × 0.09290304 ÷ 0.09290304
= 1 ft²

Working is shown in the units each formula is written in; the result figures above follow the unit switch. A numeric input is taken to 15 significant digits before it is used (1033.2293579541322 kg is used as 1033.22935795413 kg); every echo of it shows that value, and a computed figure substituted into the working is quoted to 15 significant digits as well.

Notes

Converts units only; this is not a code reading. Results retain 13 significant digits; the last digit can reflect floating-point arithmetic.
Area and volume are different dimensions. This page does not infer a depth or convert area into volume.

Method

Exact unit arithmetic

m^2 is the base. cm^2 = (10^-2)^2 m^2; in^2 = 0.0254^2 m^2; ft^2 = 0.3048^2 m^2.

m^3 is the base. cm^3 = (10^-2)^3 m^3; L = (10^-1)^3 m^3; in^3 = 0.0254^3 m^3; ft^3 = 0.3048^3 m^3; US gal = 231 in^3.

How to read the result

Choose the unit of the entered value. Multiply by its exact SI factor, then divide by each output unit factor. Temperature uses its defining affine equations instead. Unit-bearing results retain 13 significant digits; no rounded table entry is used in the computation.

Area and volume are separate dimensions. Choose an area unit for area results or a volume unit for volume results. No depth is assumed.

Limits and sources

Converts units only; this is not a code reading. No code-derived number or engineering limit is used. Not engineering advice. Have a licensed professional check every result.

Factors come from exact unit definitions. Source URLs were tried by plain GET on 2026-10-13 and returned HTTP 403, so comparison with the NIST printed rows remains unverified. The exact definitions and derivation are recorded in this tool's spec.

Formulas

Convert through the SI base unit

output = input × factor(input unit) / factor(output unit)

x_{out} = x_{in} f_{in}/f_{out}

Basis: engineering method

Standard	Edition	Clause	What it covers
NIST SP 811, Guide for the Use of the International System of Units	n/a	Appendix B.8 and B.9	Exact unit definitions, SI prefixes and derived arithmetic. https://www.nist.gov/pml/special-publication-811/nist-guide-si-appendix-b-conversion-factors/nist-guide-si-appendix-b8 ; https://www.nist.gov/pml/special-publication-811/nist-guide-si-appendix-b-conversion-factors/nist-guide-si-appendix-b9 . Source fetch 2026-10-13: HTTP 403; printed rows unverified.
NIST Handbook 44, unit definitions	n/a	Appendix C	International foot and inch; avoirdupois pound and ounce; US liquid gallon is 231 cubic inches. https://nvlpubs.nist.gov/nistpubs/hb/2026/NIST.HB.44-2026.pdf . Source fetch 2026-10-13: HTTP 403; printed rows unverified.

Rules are restated in our own words and computed for your inputs; no table or text from a standard is reproduced. The adopted edition varies by jurisdiction, so confirm the one your authority having jurisdiction enforces.

Inputs

Input	Unit	Range	Default
Value in the selected unit `value`		-1000000000000 to 1000000000000	1
Input unit `unit`	choice	m2, cm2, in2, ft2, m3, cm3, L, in3, ft3, gal	ft2

Worked examples

Each example below is a test the calculator must pass before it ships. The expected values were worked out by a separate implementation.

Example	Expected result (each in its declared unit)
One square foot	m2: 0.09290304 m², in2: 144 in²
One US gallon	L: 3.785411784 L, in3: 231 in³
One cubic metre	L: 1000 L

For AI agents

This calculator is also the MCP tool convert_area_volume at https://elevatorcalc.com/api/mcp, using the same function as this page. See how to connect, the llms.txt file, or the JSON catalogue.