How to calculate volume? Volume formulas

There is no simple answer to this question, as it depends on the shape of the object in question. Here are the formulas for some of the most common shapes:There is no simple answer to this question, as it depends on the shape of the object in question. Here are the formulas for some of the most common shapes of volume calculator:

Cube = s³, where s is the length of the side.
Sphere = (4/3)πr³, where r is the radius.
Cylinder = πr²h, where r is the radius and h is the height.
Cone = (1/3)πr²h, where r is the radius and h is the height.
Rectangular solid (volume of a box) = lwh, where l is the length, w is the width and h is the height (a simple pool may serve as an example of such shape).
Pyramid = (1/3)Ah where A is a base area and h is the height. For a pyramid with a regular base, other equation may be used as well: Pyramid = (n/12) * h * side_length² * cot(π/n), where n is a number of sides of the base for a regular polygon.
Prism = πAh, where A is a base area and h is the height. For a right triangular prism, the equation can be easily derived, as well as for a right rectangular prism, which is apparently the same shape as a box.

Shape Name Formula

Cube V = s³

Right Rectangular Prism (cuboid, box) V = lwh

Prism or Cylinder V = Ah

Pyramid or Cone V = Ah/3

Sphere V = 4πr³/3Volume calculator and tools dedicated to specific shapesWe've decided to make this volume calculator a simple tool which covers the five most popular 3D shapes. However, not every volume equation and shape type may be implemented here as it will make the calculator overloaded and unintuitive. So if you're looking for a specific shape, check out the calculators dedicated to volumes of chosen shapes:

cube volumerectangular prism volume (box)triangular prism volumecone volumepyramid volumecylinder volumesphere volumehemisphere volumeVolume calculator - how to useLet's look at the example of how to use this volume calculator:

Select the 3D shape type. If you can't find the shape you want to calculate the volume of, choose other special dedicated calculators (you'll find the links above). In this example, let's assume you want to calculate the volume of a cylinder.

Choose the right section of the volume calculator. In our case, it's the part titled Cylinder volume.

Type given data into proper boxes. Our cylinder has a radius of 1 ft and a height of 3 ft. You can change the units by a simple click on the unit name.
Here you go! The volume of a chosen shape is displayed. In our case, it's 9.42478 cu ft.
If you want to check how much that is in US barrels unit, just click on the unit name and choose barrels from the drop-down list. Our cylinder has a capacity of ~2.24 oil barrels.