Calculating Volume: Cubes, Boxes, Cylinders, and More
Learn how to calculate volume for common 3D shapes with simple formulas and worked examples.
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Searching calculating volume means you want to know how much three-dimensional space an object holds.
Common Volume Formulas
| Shape | Formula |
|---|---|
| Rectangular prism | Length x Width x Height |
| Cube | Side^3 |
| Cylinder | pi x r^2 x Height |
Example: Box
A box that is 10 ft long, 4 ft wide, and 3 ft high has:
10 x 4 x 3 = 120 cubic feet
Example: Cube
A cube with side length 5 has:
5^3 = 125 cubic units
Example: Cylinder
A cylinder with radius 2 and height 7 has:
pi x 2^2 x 7 = 28pi = about 87.96 cubic units
The Bottom Line
To calculate volume, identify the 3D shape and apply the correct formula. Volume is always written in cubic units such as cubic feet, cubic meters, or cubic yards.
How to Calculate: Step-by-Step Guide
1
Choose the shape
Use the formula that matches the 3D object you are measuring.
2
Measure dimensions
Use length, width, height, or radius as needed.
3
Apply the formula
Calculate the result and write it in cubic units.
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