Volume Calculator – Find the Volume of Several 3-Dimensional Shapes

Calculate the volume of many shapes by entering your measurements in any unit and get results in imperial or metric measurements.

How to Find the Volume of a Regular Object or Geometric Shape

Volume is the measure of 3-dimensional space that a geometric shape or object occupies and is measured in cubic units, such as cubic inches or gallons. Use the formulas below to find the volume of many different geometric shapes.

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 measurement.

Check out our surface area calculator to find the surface area of these geometric shapes.

Cube

cube volume = e³

e = edge length

Calculate cube volume

Rectangular Prism

prism volume = lwh

l = length
w = width
h = height

Calculate rectangular prism volume

Sphere

sphere volume = ⁴/₃πr³

r = radius

Calculate sphere volume

Cylinder

cylinder volume = πr²h

r = radius
h = height

Calculate cylinder volume

Cone

cone volume = ¹/₃πr²h

r = radius
h = height

Calculate cone volume

Pyramid

pyramid volume = ¹/₃e²h

e = edge length
h = height

Calculate pyramid volume

Capsule

capsule volume = πr²h + ⁴/₃πr³

r = radius
h = height

Calculate capsule volume

Cap

cap volume = ^π/₆h(3r² + h²)

r = radius
h = height

Calculate cap volume

How to Find the Volume of an Irregular Object

The formulas above can be used to calculate regular objects that have 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.

Common Volume Measurements

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

If you need to find fluid measurements, try our fluid volume conversion calculator.