Sphere volume
Radius
in
Volume
cu in
Cylinder volume
Radius
in
Height
in
Cylinder volume
cu in
Cube volume
Edge
in
Volume
cu in
Cone volume
Radius
in
Height
in
Volume
cu in
Rectangular cuboid volume
Width
in
Length
in
Height
in
Volume
cu in

Volume Calculator

By , and
Volume calculator helps you find the volume of common three-dimensional solids.

The volume calculator will calculate the volume of some of the most common three-dimensional solids. Before you go into how to calculate volume, you must know the definition of volume. Volume differs from the area, which is the amount of space taken up in a two-dimensional figure. Therefore you might be confused as to how to find the volume of a rectangle versus how to find the volume of a box. The calculator will assist in calculating the volume of a sphere, cylinder, cube, cone, and rectangular solids.

Table of contents:

What is volume? Volume definition

Volume units, volume conversion table

How to calculate volume? Volume formulas

How to find the volume of a rectangle vs volume of a box

Real-life applications

What is volume? Volume definition

Volume is the amount of space that an object or substance occupies. Generally, the volume of a container is understood as its capacity - not amount of space the container itself displaces. Cubic meter is an SI unit for volume.

However, the term volume may also refer to many other things, such as

  • the degree of loudness or the intensity of a sound (you may want to check our noise pollution calculator or dB calculator)
  • the number or amount of something (usually large quantity)
  • formal word for a book or one in a set of related books.

Volume units, conversion table

Popular units of volume are:

  1. Metric volume units
  • cubic centimeters (cm³)
  • cubic meters (m³)
  • liters (l, L)
  • milliliters (ml, mL)
  1. US Standard, UK
  • fluid ounce (fl oz)
  • cubic inch (cu in)
  • cubic foot (cu ft)
  • cups
  • pints (pt)
  • quarts (qt)
  • gallons (gal)

If you need to convert the units of volume, you can use our great volume converter. Other useful tool is a grams to cups calculator which can help if you want to use a food recipe from different country. Note that it's not a simple conversion, but change from weight (grams) to volume unit (cups) - that's why you need to know the ingredient type (or more specifically, its density).

Also, you can have a look at this neat volume unit conversion table to find out the conversion factor in a blink of an eye:

cubic inches cubic feet cubic yards us liquid gallons us dry gallons imp liquid gallons barrels (oil) cups fluid ounces (UK) fluid ounces (US) pints (UK)
cubic metre 6.1 104 35.3 1.308 264.2 227 220 6.29 4227 3.52 104 3.38 104 1760
cubic decimetre 61.02 0.035 1.3 10-3 0.264 0.227 0.22 0.006 4.23 35.2 33.8 1.76
cubic centimetre 0.061 3.5 10-5 1.3 10-6 2.64 10-4 2.27 10-4 2.2 10-4 6.29 10-6 4.2 10-3 3.5 10-2 3.34 10-2 1.76 103
cubic millimetre 6.1 10-5 3.5 10-8 1.31 10-9 2.64 10-7 2.27 10-7 2.2 10-7 6.3 10-9 4.2 10-6 3.5 10-5 3.4 10-5 1.76 10-6
hectoliters 6.1 103 3.53 0.13 26.4 22.7 22 0.63 423 3.5 103 3381 176
liters 61 3.5 10-2 1.3 10-3 0.26 0.23 0.22 6.3 10-3 4.2 35.2 33.8 1.76
centiliters 0.61 3.5 10-4 1.3 10-5 2.6 10-3 2.3 10-3 2.2 10-3 6.3 10-5 4.2 10-2 0.35 0.338 1.76 10-2
milliliters 6.1 10-2 3.5 10-5 1.3 10-6 2.6 10-4 2.3 10-4 2.2 10-4 6.3 10-6 4.2 10-3 3.5 10-2 3.4 10-2 1.76 10-3
cubic inches 1 5.79 10-4 2.1 10-5 4.3 10-3 3.7 10-3 3.6 10-3 10-4 6.9 10-2 0.58 0.55 2.9 10-2
cubic feet 1728 1 0.037 7.48 6.43 6.23 0.18 119.7 997 958 49.8
cubic yards 4.7 104 27 1 202 173.6 168.2 4.8 3232 2.69 104 2.59 104 1345
us liquid gallons 231 0.134 4.95 10-3 1 0.86 0.83 0.024 16 133.2 128 6.7
us dry gallons 268.8 0.156 5.76 10-3 1.16 1 0.97 0.028 18.62 155 148.9 7.75
imp liquid gallons 277.4 0.16 5.9 10-3 1.2 1.03 1 0.029 19.2 160 153.7 8
barrels (oil) 9702 5.61 0.21 42 36.1 35 1 672 5596 5376 279.8
cups 14.4 8.4 10-3 3.1 10-4 6.2 10-2 5.4 10-2 5.2 10-2 1.5 10-3 1 8.3 8 0.4
fluid ounces (UK) 1.73 10-3 3.7 10-5 7.5 10-3 6.45 10-3 6.25 10-3 1.79 10-4 0.12 1 0.96 5 10-2
fluid ounces (US) 1.8 10-3 3.87 10-5 7.8 10-3 6.7 10-3 6.5 10-3 1.89 10-4 0.13 1.04 1 0.052
pints (UK) 34.7 0.02 7.4 10-4 0.15 0.129 0.125 3.57 103 2.4 20 19.2 1

How to calculate volume? Volume formulas

There is no simple answer to this question, as it depends on the type of geometric solid. Here are the formulas for some of the most common figures:

  1. Cube = , where s is the length of the side.

  2. Sphere = (4/3)πr³, where r is the radius.

  3. Cylinder = πr²h, where r is the radius and h is the height.

  4. Cone = (1/3)πr²h, where r is the radius and h is the height.

  5. 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).

How to find the volume of a rectangle vs volume of a box

You can't calculate a volume of a rectangle, a volume of a circle or a volume of a square, because they are 2-dimensional geometric figures. As such, a rectangle does not have a volume (but it does have an area). What you're probably looking for is the volume of a rectangular cuboid (or, in more common terms, you want to find the volume of a box), which is a 3-dimensional figure.

To find the volume of a box, simply multiply length, width, and height - and you're good to go! For example, if a box is 5x7x2 cm, then the volume of a box is 70 cubic centimeters. For dimensions that are relatively small whole numbers, calculating volume by hand is easy. For larger or decimal valued numbers, the use of the volume calculator is very efficient.

There are many applications in real life where the volume calculator is useful. One such instance is in road or pavement construction where slabs of concrete must be built. Generally, concrete slabs are rectangular solids, so the concrete calculator - which is an application of the volume calculator - can be used.

Another related application, although slightly different, is the concept of surface area. Suppose the entire exterior of a building must be painted. To know how much paint must be purchased, the surface area of the building must be calculated. The convenient to use surface area calculator will calculate this for you.

Hanna Pamuła, PhD student, Piotr Małek and Mateusz Mucha

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Volume Calculator. Definition | Formulas | Measurements