Volume Calculator
Calculate volume for cubes, rectangular prisms, cylinders, cones, spheres, hemispheres and triangular prisms with unit conversion to cubic metres, litres and cubic feet.
Enter your values
Change any assumption and calculate again to compare results.
What This Volume Calculator Calculates
This calculator combines several common solid-volume formulas in one workspace. Instead of opening a separate page for every shape, choose the solid, enter the dimensions and select the length unit. The primary answer is shown in cubic units matching the selected input unit, while supporting results convert the same volume to cubic metres, litres and cubic feet.
The tool is useful for containers, packaging, geometry exercises, construction estimates, laboratory work and capacity checks. It deliberately keeps the shape formula visible so you can confirm which dimensions are being multiplied and where factors such as π or one-third enter the calculation.
Formula and Calculation Method
Every volume formula measures three-dimensional space. A rectangular prism uses length × width × height. A cube is the special case s³. Cylinders and cones use the area of a circular base, πr², multiplied by height; a cone then divides that result by three. A sphere uses 4πr³/3 and a hemisphere uses half of that amount. A triangular prism multiplies triangle area, b×h/2, by prism length.
For conversions, the calculator first converts the selected length unit to metres, cubes that conversion factor, and then converts cubic metres to litres and cubic feet. Cubing the length conversion is important: one metre is 100 centimetres, but one cubic metre is 1,000,000 cubic centimetres.
How to Use This Calculator
- Enter the values requested in the calculator workspace and keep units consistent.
- Select Calculate. The arithmetic runs locally in your browser.
- Review the main answer together with the supporting figures and formula shown beside it.
- Change one assumption at a time when comparing scenarios so you can see which input is affecting the result.
- Use Copy Result, Save Result Image or Share Result when you need a record of the calculation.
The page is designed to show more than a single unexplained number. Supporting values make it easier to verify the arithmetic, compare results with a spreadsheet or textbook, and reproduce the calculation later. When a calculator uses a unit selector, the unit affects the calculation exactly as described in the method section rather than being treated as decoration.
Worked Example
A rectangular prism measuring 10 cm × 8 cm × 6 cm has a volume of 480 cm³. That equals 0.00048 m³, 0.48 litres, or about 0.01695 ft³.
Replace the example values with the measurements or numbers that apply to your own problem. The default values are present to make the calculator immediately testable and to show the expected input format.
How to Interpret the Result
The result represents ideal geometric volume. If you are estimating usable container capacity, material fill or liquid storage, wall thickness, rounded corners, internal fittings, freeboard and packing efficiency can reduce practical capacity. For construction materials, a waste allowance may also be required.
When comparing two shapes, keep every dimension in the same unit. The converter handles the selected unit for you, but mixing centimetres and metres in separate fields would describe a different solid than intended.
Common Search Questions About Volume Calculator
How do I calculate this result?
Enter the required values in the calculator above and select Calculate. The result is shown together with supporting values and the formula used, so the arithmetic can be checked instead of treated as a black box.
Can I use this calculator on a phone?
Yes. The v113 workspace is responsive, and on small screens the result opens in the current viewport after calculation.
Does OfficeCalculator.Net upload my inputs?
The arithmetic for this calculator runs locally in the browser. The page does not require an account to perform the calculation.
Important Limitations
The formulas assume regular geometric solids with the dimensions entered. Irregular shapes, tapered walls beyond the listed cone option, hollow objects and objects with internal voids require a different model or a decomposition into multiple simple solids.
Round only after the main calculation when practical. Rounding inputs too early can magnify small differences, especially in formulas that involve powers, roots, logarithms, repeated operations or unit conversions.
Privacy, Mobile Results and Practical Use
The calculator performs its arithmetic in the browser and does not require an account. Values entered into the form are used to generate the result shown on the page. On narrow screens the result panel opens in the current viewport after calculation, so the answer does not get lost below long explanatory content.
Use the calculator as a transparent planning and checking tool. For coursework, engineering work, financial records or any other situation where precision matters, keep the original source values and verify rounding conventions. A calculator can evaluate a formula correctly while still producing an inappropriate real-world answer if the wrong inputs, units or definitions are supplied.
Frequently Asked Questions
Why does volume use cubic units?
Volume measures three dimensions, so the length unit is multiplied three times. A 1 cm × 1 cm × 1 cm cube therefore occupies 1 cm³.
Can I convert the result to litres?
Yes. The supporting results show litres by converting through cubic metres. One cubic metre equals 1,000 litres.
Which radius should I use for a cylinder or sphere?
Use the distance from the centre to the outer edge. If you have diameter instead, divide the diameter by two before entering the radius.