Use this Volume Calculator to find the volume of common 3D shapes, including cubes, spheres, cylinders, cones, pyramids, and rectangular boxes. Select a shape, enter its dimensions, and get the calculated volume along with the formula and a helpful shape diagram. You can also choose different measurement units for your calculations.
Volume Calculator
Volume updates automatically. To solve a dimension, leave exactly one dimension blank and enter a target volume.
Enter positive numbers. Only dimensions relevant to the selected shape are shown.
Volume Results
Shape Diagram
Choose a shape and enter its dimensions to calculate volume.
How to Use the Volume Calculator
- Select a shape: Choose the 3D shape you want to calculate, such as a cube, cylinder, cone, or sphere.
- Choose a measurement unit: Select millimeters, centimeters, meters, inches, feet, or yards.
- Enter the dimensions: Fill in the required measurements for your selected shape.
- View the result: The calculator displays the volume, relevant base area, formula, and shape diagram.
- Find a missing dimension: For supported shapes, enter a target volume and leave one dimension blank to calculate the missing measurement.
Volume Calculation Examples
Here are a few examples of how volume is calculated for common shapes.
Example 1: Volume of a Cube
Suppose a cube has a side length of 5 cm.
Formula: Volume = side × side × side
Calculation: 5 × 5 × 5 = 125 cm³
The cube has a volume of 125 cubic centimeters.
Example 2: Volume of a Cylinder
Suppose a cylinder has a radius of 4 cm and a height of 10 cm.
Formula: Volume = π × radius² × height
Calculation: π × 4² × 10 ≈ 502.65 cm³
The cylinder’s volume is approximately 502.65 cubic centimeters.
Example 3: Volume of a Sphere
Suppose a sphere has a radius of 5 cm.
Formula: Volume = (4/3) × π × radius³
Calculation: (4/3) × π × 5³ ≈ 523.60 cm³
The sphere’s volume is approximately 523.60 cubic centimeters.
What Is Volume?
Volume is the amount of three-dimensional space occupied by an object. It is commonly measured in cubic units, such as cubic centimeters (cm³), cubic meters (m³), or cubic inches (in³).
The formula depends on the shape. For example, a rectangular box uses length × width × height, while a sphere uses its radius. Using the correct formula and measurements helps you calculate volume accurately.
Frequently Asked Questions
What is the formula for volume?
The formula depends on the shape. For a cube, volume is side³; for a cylinder, it is πr²h; and for a rectangular box, it is length × width × height.
What units are used to measure volume?
Volume is measured in cubic units, including mm³, cm³, m³, in³, ft³, and yd³.
Can I calculate a missing dimension from volume?
Yes, for supported shapes, you can enter a target volume and leave one dimension blank. The calculator uses the relevant formula to determine the missing measurement when it can be uniquely calculated.
What is the difference between volume and surface area?
Volume measures the space inside a three-dimensional object. Surface area measures the total area covering its outer surfaces.
Note: Check that all dimensions use the same measurement unit and that your measurements are accurate. Results may be rounded for display.