Math Tools
Volume Calculator
Calculate the volume of common 3D shapes including cubes, rectangular prisms, cylinders, spheres, and cones.
Volume Calculator
Calculate the volume of common 3D shapes such as cubes, rectangular prisms, cylinders, spheres, and cones.
Volume = side³
Volume
125
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Included solids
This calculator can find the volume of a cube, rectangular prism, cylinder, sphere, or cone using the dimensions you enter.
What is a volume calculator?
A volume calculator is a tool that helps you find the amount of space inside a three-dimensional solid. Instead of working through each formula manually, you can enter the dimensions of a cube, rectangular prism, cylinder, sphere, or cone and get the volume instantly.
This is useful in schoolwork, engineering, packaging, storage, shipping, tank sizing, construction, and everyday measurement problems where you need a fast and accurate volume calculation.
Volume formulas for common 3D shapes
Cube volume formula
Volume = side³
Rectangular prism volume formula
Volume = length × width × height
Cylinder volume formula
Volume = π × radius² × height
Sphere volume formula
Volume = (4/3) × π × radius³
Cone volume formula
Volume = (1/3) × π × radius² × height
Examples for cube volume calculations
These quick examples show how volume is calculated for the selected solid.
| Example dimensions | Volume |
|---|---|
| side 3 | 27 |
| side 5 | 125 |
| side 10 | 1000 |
Common volume formula comparison table
| Solid | Formula | Needed dimensions |
|---|---|---|
| Cube | side³ | Side length |
| Rectangular prism | length × width × height | Length, width, height |
| Cylinder | π × radius² × height | Radius, height |
| Sphere | (4/3) × π × radius³ | Radius |
| Cone | (1/3) × π × radius² × height | Radius, height |
How to calculate volume step by step
First, choose the solid you want to measure. Then enter the correct dimensions, such as side length for a cube, length width and height for a rectangular prism, radius and height for a cylinder or cone, or radius for a sphere.
Once the values are entered, the calculator applies the correct volume formula automatically and returns the result. This saves time and reduces mistakes, especially when switching between different three-dimensional shapes.
What units are used for volume?
Volume is always written in cubic units because it measures space in three dimensions. Common units include cubic meters (m³), cubic centimeters (cm³), cubic feet (ft³), and cubic inches (in³).
For example, if the dimensions of a box are measured in meters, then the volume should be expressed in cubic meters. Using the correct cubic unit is important in shipping, storage, engineering, and classroom math problems.
Where a volume calculator is useful
An online volume calculator is useful when estimating the capacity of a box, tank, container, room, cylinder, cone, or spherical object. It can help with packaging, liquid storage, construction planning, material estimates, and science problems.
It is also useful for students learning geometry because it provides a quick way to verify answers and understand how volume formulas work across different solids.
Volume calculator FAQ and common questions
How do you calculate the volume of a cube?
Multiply the side length by itself three times. For example, a cube with side 5 has a volume of 125 cubic units.
How do you calculate the volume of a rectangular prism?
Multiply the length by the width by the height. For example, a rectangular prism with dimensions 4 × 3 × 2 has a volume of 24 cubic units.
How do you calculate the volume of a cylinder?
Use the formula π × radius² × height. If the radius is 2 and the height is 5, the volume is about 62.83 cubic units.
How do you calculate the volume of a sphere?
Use the formula (4/3) × π × radius³. If the radius is 5, the volume is about 523.6 cubic units.
How do you calculate the volume of a cone?
Use the formula (1/3) × π × radius² × height. This gives one third of the matching cylinder volume with the same base and height.
Why is volume written in cubic units?
Volume measures the amount of space inside a three-dimensional object, so the result must be shown in cubic units such as cubic feet or cubic meters.
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