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 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
Volume units, conversion table
Popular units of volume are:
- Metric volume units
- cubic centimeters (cm³)
- cubic meters (m³)
- liters (l, L)
- milliliters (ml, mL)
- US Standard, UK
- fluid ounce (fl oz)
- cubic inch (cu in)
- cubic foot (cu ft)
- 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 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|
|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:
s³, where s is the length of the side.
(4/3)πr³, where r is the radius.
πr²h, where r is the radius and h is the height.
(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).
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.