OPTIONAL MASS
Turn volume into mass with density
Use this only when the material density is known. The geometry result stays unchanged.
Estimated mass24,000 kg
MEASURE · REVERSE-SOLVE · CONVERT
Volume Calculator
Pick a 3D shape, enter the dimensions you know, and calculate volume—or work backward from volume to a missing dimension.
16 solidscommon + advanced
mixed unitseach dimension
reverse solvewhere algebra is safe
3D SHAPE WORKSPACE
Start with the solid, not the formula.
Live result updates as you type.
RECTANGULAR PRISM24 m³
V = lwh
CUBIC METRES24 m³
CUBIC FEET847.552 ft³
LITRES24,000 L
US GALLONS6,340.13 gal
COMPOSITE VOLUME0 m³Add tanks, rooms, packaging sections, or subtract cavities and cutouts.
Each dimension keeps its own unit
Enter a radius in inches and a height in centimetres if that is what you measured. Inputs convert once to metres before geometry is solved.
Volume can be the known value
For algebraically safe cases, switch “Solve for” to a missing radius, height, side, axis, or other dimension instead of re-arranging the formula yourself.
RECENT CALCULATIONS
Reuse a solid without re-entering it
Saved calculations appear here.
FORMULA REFERENCE
Reference material stays below the calculator
Prisms & boxes
Cube V=s³
Box V=lwh
Triangular prism V=½bhL
Round solids
Cylinder V=πr²h
Sphere V=4πr³/3
Cone V=πr²h/3
Advanced solids
Frustum V=πh(R²+Rr+r²)/3
Truncated pyramid V=h(A₁+A₂+√A₁A₂)/3
Ellipsoid V=4πabc/3
Torus V=2π²Rr²
Shells & caps
Tube V=πh(R²−r²)
Spherical cap V=πh²(3R−h)/3
Capsule V=πr²L+4πr³/3
Precision, conventions & privacy
Precision
Calculations use JavaScript double-precision arithmetic. Results that involve π or roots are numerical approximations and are not labelled as symbolic exact values.
Radii and dimensions
Radius fields expect radius, not diameter. The capsule’s “cylinder length” excludes the two hemispherical ends. The torus uses major radius from the centre of the tube to the centre of the ring.
Composite totals
Saved components preserve their underlying cubic-metre values so switching display units does not compound rounding error.
Privacy
The calculator runs locally. Recent calculations and composite entries are stored only in this browser.