The Volume Calculator makes it effortless to compute the space inside common 3D shapes like cubes, boxes, cylinders, cones, and spheres. Whether you’re planning a container, estimating material fill, or double-checking homework, this tool delivers fast and accurate results in your preferred units.
What the Volume Calculator Does
Volume is the measure of how much three-dimensional space an object occupies. With our Volume Calculator, you can select a shape, enter the relevant dimensions, and instantly get the volume expressed in unit cubed (for example, cm^3 or in^3). The tool supports five everyday unit systems—millimeters, centimeters, meters, inches, and feet—so you can work in whichever units fit your project.
Supported Shapes and Formulas
- Cube: V = s3, where s is the side length.
- Rectangular Prism (Box): V = l × w × h.
- Cylinder: V = ?r2h.
- Cone: V = (1/3)?r2h.
- Sphere: V = (4/3)?r3.
Each formula turns your measurements into a precise calculation. Just make sure all dimensions are in the same unit before you start.
How to Use the Volume Calculator
- Select the shape that matches your object.
- Enter only the dimensions required for that shape (for example, radius and height for a cylinder).
- Choose your measurement unit (mm, cm, m, in, or ft).
- Set the number of decimal places you want in the result.
- Click Calculate to get the volume.
Practical Tips for Accurate Results
- Consistency matters: Keep all dimensions in the same unit before calculating.
- Measure carefully: Small errors in radius or height can significantly affect volume, especially for cones and spheres.
- Choosing decimal places: Use 2–3 decimals for general projects; increase precision for scientific or machining tasks.
- Convert to liters or gallons: After finding volume in cm^3 or in^3, convert as needed (1,000 cm^3 = 1 L; 231 in^3 ? 1 US gallon).
Examples
Example 1: Box Volume
Suppose a storage box measures 40 cm × 30 cm × 25 cm. Using the rectangular prism formula V = l × w × h, the volume is 40 × 30 × 25 = 30,000 cm3. That equals 30 liters (since 1,000 cm3 = 1 L).
Example 2: Cylinder Volume
A cylindrical vase has a radius of 6 cm and height of 20 cm. The volume is ? × 62 × 20 ? 2,261.95 cm3, which is about 2.26 liters.
Example 3: Sphere Volume
A spherical decoration with a radius of 10 cm has volume (4/3)? × 103 ? 4,188.79 cm3 ? 4.19 liters.
Why Use This Volume Calculator?
- Time-saving: No manual math or unit juggling.
- Versatile: Works for common shapes across crafts, DIY, engineering, and education.
- Precise: Adjustable decimal places let you control displayed precision.
- Unit-aware: Keeps your results in the same unit system you measure in.
Common Use Cases
Professionals and hobbyists rely on quick volume estimates to plan materials, shipping, and storage. From determining how much soil fills a planter (cylinder or frustum approximation) to estimating resin for a cube mold, accurate volume helps you buy the right amount and avoid delays.
Converting Your Results
- cm3 to liters: divide by 1,000.
- mm3 to liters: divide by 1,000,000.
- in3 to US gallons: divide by 231.
- ft3 to US gallons: multiply by 7.48052.
With the Volume Calculator, you can go from measurements to meaningful, unit-ready results in seconds, complete with the core formulas you learned in school—and the precision you need on the job.