Use this calculator to easily calculate the volume of common bodies like a cube, rectangular box, cylinder, sphere, cone, and triangular prism. Formulas and explanation below.
How to calculate the volume of a body?
Depending on the particular body, there is a different formula and different required information you need to calculate its volume. Below are volume formulas for the most common types of geometric bodies - all of which are supported by our online volume calculator above. All measures need to be in the same unit. The result is always in cubic units: cubic centimeters, cubic inches, cubic meters, cubic feet, cubic yards, etc.
Volume calculations are useful in a lot of sciences, in construction work and planning, in cargo shipping, in climate control (e.g. air conditioning calculations), swimming pool management, and more.
Volume of a cube
The volume formula for a cube is side3, as seen in the figure below:
The only required information is the side, then you take its cube and you have the cube's volume.
Volume of a box
The volume formula for a rectangular box is height x width x length, as seen in the figure below:
To calculate the volume of a box or rectangular tank you need three dimensions: width, length, and height. They are usually easy to measure due to the regularity of the shape.
Volume of a cylinder
The volume formula for a cylinder is height x π x (diameter / 2)2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius2. Visual in the figure below:
You need two measurements: the height of the cylinder and the diameter of its base. In many school formulas the radius is given instead, but in real-world situations it is much easier to measure the diameter instead of trying to pinpoint the midpoint of the circular base so you can measure the radius.
Volume of a sphere
The volume formula for a sphere is 4/3 x π x (diameter / 2)3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius3. Visual on the figure below:
Same as a circle, you only need one measurement of the sphere: its diameter or its radius.
Volume of a cone
The volume formula for a cone is (height x π x (diameter / 2)2) / 3, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is (height x π x radius2) / 3, as seen in the figure below:
Despite being a somewhat complex shape, you only need to know three dimensions to calculate the volume of a regular cone. For irregular cones, which are not supported by our volume calculator, yet, you would also need to know the angle of the cone.
Volume of a triangular prism
The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below:
Similar to rectangular boxes, you need just three dimensions: height, base, and length.
Cite this calculator & page
If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation:
Georgiev G.Z., "Volume Calculator", [online] Available at: https://www.gigacalculator.com/calculators/volume-calculator.php URL [Accessed Date: 20 Nov, 2019].