Volume Calculator
The volume calculator will calculate the volume of some of the most common three-dimensional solids. Before we 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.The volume calculator will calculate the volume of some of the most common three-dimensional solids. Before we go into how to calculate volume, you must know the definition of volume. volume calculator 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.
What is volume? Volume definitionVolume 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 (m3) 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 tablePopular units of volume are:
Metric volume unitscubic centimeters (cm³)cubic meters (m³)liters (l, L)milliliters (ml, mL)US Standard, UKfluid ounce (fl oz)cubic inch (cu in)cubic foot (cu ft)cupspints (pt)quarts (qt)gallons (gal)If you need to convert the units of volume, you can use our great volume converter. Another useful tool is our 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 1760cubic decimetre 61.02 0.035 1.3 10-3 0.264 0.227 0.22 0.006 4.23 35.2 33.8 1.76cubic 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 103cubic 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 10-6hectoliters 6.1 103 3.53 0.13 26.4 22.7 22 0.63 423 3.5 103 3381 176liters 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 1.76centiliters 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 10-2milliliters 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 10-3cubic 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 10-2cubic feet 1728 1 0.037 7.48 6.43 6.23 0.18 119.7 997 958 49.8cubic yards 4.7 104 27 1 202 173.6 168.2 4.8 3232 2.69 104 2.59 104 1345us liquid gallons 231 0.134 4.95 10-3 1 0.86 0.83 0.024 16 133.2 128 6.7us dry gallons 268.8 0.156 5.76 10-3 1.16 1 0.97 0.028 18.62 155 148.9 7.75imp liquid gallons 277.4 0.16 5.9 10-3 1.2 1.03 1 0.029 19.2 160 153.7 8barrels (oil) 9702 5.61 0.21 42 36.1 35 1 672 5596 5376 279.8cups 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 0.4fluid 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 10-2fluid 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 0.052pints (UK) 34.7 0.02 7.4 10-4 0.15 0.129 0.125 3.57 103 2.4 20 19.2 1How to calculate volume? Volume formulasThere 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:
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.
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