Volume Calculator – Volume Formulas

Calculate volume by selecting one of the shapes below and entering your measurements in any unit.

Select a Shape:

• Rectangular Prism
• Cube
• Sphere
• Cylinder
• Cone
• Pyramid
• Capsule
• Cap

Rectangular Prism

Length:

in ft yd cm m

Width:

in ft yd cm m

Height:

in ft yd cm m

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Cube

Edge Length:

in ft yd cm m

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Sphere

Radius:

in ft yd cm m

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Cylinder

Radius:

in ft yd cm m

Height:

in ft yd cm m

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Cone

Radius:

in ft yd cm m

Height:

in ft yd cm m

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Pyramid

Edge Length:

in ft yd cm m

Height:

in ft yd cm m

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Capsule

Radius:

in ft yd cm m

Height:

in ft yd cm m

HELP

Cap

Radius:

in ft yd cm m

Height:

in ft yd cm m

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Volume Result:

 

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On this page:

• Volume Calculator - Find Volume
• How to Find Volume
• Volume Formulas
• Cube Volume Formula
• Rectangular Prism Volume Formula
• Sphere Volume Formula
• Cylinder Volume Formula
• Cone Volume Formula
• Pyramid Volume Formula
• Capsule Volume Formula
• Cap Volume Formula
• How to Find the Volume of an Irregular Object
• Volume Measurement Tips
• Common Volume Measurements

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How to Find Volume

Volume is the measure of 3-dimensional space that a geometric shape or object occupies. It’s measured in cubic units, such as cubic inches or gallons.

Of course, volume can easily be found using a calculator like the one above. Read on to learn more about how to calculate it yourself.

Volume Formulas

The volume of every shape is calculated differently using a different formula. Try the formulas below to find the volume of many geometric shapes.

Cube Volume Formula

V = a³

a = edge a length

Rectangular Prism Volume Formula

V = lwh

l = length
w = width
h = height

Sphere Volume Formula

V = 43πr³

r = radius

Cylinder Volume Formula

V = πr²h

r = radius
h = height

Cone Volume Formula

V = 13πr²h

r = radius
h = height

Pyramid Volume Formula

V = 13e²h

e = edge length
h = height

Capsule Volume Formula

V = πr²h + 43πr³

r = radius
h = height

Cap Volume Formula

V = π6h(3r² + h²)

r = radius
h = height

How to Find the Volume of an Irregular Object

The formulas above can be used to calculate regular objects with a defined formula, but many objects are irregular or have no obvious formula. Water displacement is a technique used to find the volume of an irregular object.

The water displacement technique involves filling a container with water and measuring the amount of water displaced by submerging the irregular object in the water in the container.

For example, fill a container with water and calculate the volume of the water using the formulas above.

Submerge the irregular object in the water and observe that the water level in the container has risen.

Measure the amount of water as before and calculate the volume of the water with the object submerged.

Subtract the initial result by the result after the irregular object was placed in the water to find the volume of the object.

Volume Measurement Tips

One important consideration when measuring is to take all measurements using the same unit of measure. If your measurements are in different units, convert each measurement to the unit you want the results in.

Use our length unit conversion calculators to convert your measurements to a consistent unit. You can also use our volume unit conversion calculator to convert your result to another unit of measure.

Common Volume Measurements

• Cubic Inches
• Cubic Feet
• Cubic Yards
• Cubic Centimeters
• Cubic Meters

You might also be interested in our surface area calculator to find the surface area of a shape.