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.
Cube Volume Calculator
Rectangular Prism Volume Calculator
Sphere Volume Calculator
Cylinder Volume Calculator
Cone Volume Calculator
Pyramid Volume Calculator
Capsule Volume Calculator
Cap Volume Calculator
Results:
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 Inch | Cubic Foot | Cubic Yard | Cubic Centimeter | Cubic Meter | |
|---|---|---|---|---|---|
| 1 Cubic Inch = | 1 in3 | 0.000579 ft3 | 0.000021434 yd3 | 16.3871 cm3 | 0.000016387 m3 |
| 1 Cubic Foot = | 1,728 in3 | 1 ft3 | 0.037037 yd3 | 28,317 cm3 | 0.028317 m3 |
| 1 Cubic Yard = | 46,656 in3 | 27.000049 ft3 | 1 yd3 | 764,555 cm3 | 0.764555 m3 |
| 1 Cubic Centimeter = | 0.061024 in3 | 0.000035315 ft3 | 0.000001308 yd3 | 1 cm3 | 0.0000010 m3 |
| 1 Cubic Meter = | 61,024 in3 | 35.314725 ft3 | 1.30795 yd3 | 1,000,000 cm3 | 1 m3 |
If you need to find fluid measurements, try our fluid volume conversion calculator.
