Cube storage box
Estimate the capacity of a cube-shaped storage box from one side length.
Side = 8, Volume = 8³
Volume = 512 cubic units
Volume Calculator
Calculate the volume of different geometric shapes including cubes, rectangular prisms, cylinders, and spheres. Enter the required dimensions and get instant results with step-by-step calculations.
Volume Calculator
Select a shape and enter the required dimensions to calculate its volume.
Result
Real-world Applications
Construction: Calculate material volumes for building projects
Manufacturing: Determine container volumes for packaging
Engineering: Design tanks and vessels
Science: Measure volumes in laboratory experiments
Home: Plan storage solutions and renovations
Calculation Tips
- Always use consistent units for all measurements
- Double-check your measurements before calculating
- Round results to appropriate decimal places
- Consider using different shapes to approximate complex objects
- For irregular shapes, break them down into simpler components
Common Volume Units
Metric Units
- Cubic meters (m³)
- Cubic centimeters (cm³)
- Liters (L)
Imperial Units
- Cubic feet (ft³)
- Cubic inches (in³)
- Gallons (gal)
What is Volume?
Volume is the amount of space occupied by a three-dimensional object. It is measured in cubic units. Different shapes have different formulas for calculating their volume.
Volume Formulas
- Cube: V = a³ (where a is the side length)
- Rectangular Prism: V = l × w × h (where l is length, w is width, h is height)
- Cylinder: V = πr²h (where r is radius, h is height)
- Sphere: V = (4/3)πr³ (where r is radius)
- Cone: V = (1/3)πr²h (where r is base radius, h is height)
- Capsule: V = πr²h + (4/3)πr³ (where r is radius, h is height)
- Square Pyramid: V = (1/3)a²h (where a is base edge, h is height)
- Hollow Tube: V = πh(R² - r²) (where R is outer radius, r is inner radius, h is height)
- Ellipsoid: V = (4/3)πabc (where a, b, c are semi-axes)
- Conical Frustum: V = (1/3)πh(R² + r² + Rr) (where R is bottom radius, r is top radius)
Volume Examples
Cylinder tank
Calculate the internal volume of a cylindrical tank using radius and height.
r = 3, h = 10, Volume = π × 3² × 10
Volume ≈ 282.7433 cubic units
Sphere container
Find the volume of a spherical container before estimating material or liquid capacity.
r = 5, Volume = (4/3)π × 5³
Volume ≈ 523.5988 cubic units
Conical hopper
Use cone volume when planning funnel or hopper capacity.
r = 4, h = 9, Volume = (1/3)π × 4² × 9
Volume ≈ 150.7964 cubic units
Volume Calculator FAQ
What does volume measure?
Volume measures the amount of three-dimensional space an object occupies. Results are expressed in cubic units such as cubic meters or cubic inches.
Can I use any unit for the inputs?
Yes. Use any consistent length unit for every dimension. The result will be expressed in the corresponding cubic version of that unit.
Why are there different formulas for each shape?
Each three-dimensional shape has different geometry, so the relationship between its dimensions and enclosed space is different.
Does this calculator show how the answer was found?
Yes. After calculating, the tool shows a step string with the formula and the substituted values for the selected shape.