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

Volume Calculator

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 in to how to calculate volume, you must know the definition of volume. It is the measure of amount of space taken up inside a solid figure. 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 volume of a sphere, cylinder, cube, cone and rectangular solid.

How to calculate volume?

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.
  6. Input the values needed into the volume calculator to find the volume of the solid.
  7. Note the volume is always in cubic units, as opposed to area which is in square units.

How to find the volume of a rectangle

You can't calculate the volume of a rectangle, volume of a circle or 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 volume of a rectangular cuboid (or, in a more common terms, you want to find the volume of a box), which is a 3-dimensional figure.

Volume of a box

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.

Related topics of interest

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 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 purchase, the surface area of the building must be calculated. The convenient to use surface area calculator will calculate this for you.

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Volume Calculator
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