Volume Calculator
Calculate volume of cubes, spheres, cylinders, cones, pyramids, and rectangular prisms using standard geometric formulas. Free interactive volume calculator with charts for students and professionals.
About This Calculator
The Volume Calculator helps you compute the volume of six common three-dimensional shapes: cube, sphere, cylinder, cone, pyramid, and rectangular prism. Select your shape, enter the required dimensions in any consistent unit system, and get the volume instantly with visual comparison charts.
This calculator uses standard geometric volume formulas. Cube volume is side length cubed (V = s³). Sphere volume uses four-thirds pi times radius cubed (V = (4/3)πr³). Cylinder volume is pi times radius squared times height (V = πr²h). Cone volume is one-third of cylinder volume (V = (1/3)πr²h). Pyramid volume is one-third of base area times height (V = (1/3)Bh). Rectangular prism volume is length times width times height (V = lwh).
Volume is a measure of the three-dimensional space occupied by a solid object. It is expressed in cubic units -- for example, if dimensions are in meters, the volume is in cubic meters (m³). The calculator supports any consistent unit system (metric or imperial), making it useful for students learning geometry, engineers calculating material volumes, construction professionals estimating concrete or fill requirements, and anyone needing quick 3D volume calculations.
Regional Notes
India: Cubic meters (m^3) and liters are standard for construction and liquid volume. Builders and architects commonly use cubic feet for room volumes. School curricula cover all these formulas in secondary mathematics.
US: Cubic feet (ft^3) and cubic inches (in^3) are widely used in construction, HVAC, and packaging. Gallons are standard for liquid volume. These volume formulas are taught in high school geometry.
UK: Cubic meters and liters are standard metric units, while cubic feet may be used in construction. Imperial pints and gallons appear in some contexts. The geometric formulas are universal across all regions.
Frequently Asked Questions
How do you calculate the volume of a cube?
Cube volume is calculated as V = s³, where s is the side length. Simply multiply the side length by itself three times to get the volume in cubic units.
What is the formula for sphere volume?
Sphere volume is V = (4/3)πr³, where r is the radius. Multiply four-thirds by pi and the radius cubed for the total volume in cubic units.
How do you calculate cylinder volume?
Cylinder volume is V = πr²h, where r is the radius and h is the height. Multiply the base area (πr²) by the height to find the volume.
What is the cone volume formula?
Cone volume is V = (1/3)πr²h, where r is the radius and h is the height. A cone holds exactly one-third the volume of a cylinder with the same base and height.
How do you find pyramid volume?
Pyramid volume is V = (1/3)bh, where b is the base area and h is the height. For a square pyramid, base area is side squared so V = (1/3)s²h.
What is the rectangular prism volume formula?
Rectangular prism volume is V = lwh, where l is length, w is width, and h is height. Multiply all three dimensions together for the total volume in cubic units.
What units does the volume calculator use?
The volume calculator works with any consistent unit system. Enter dimensions in the same unit (meters, centimeters, inches, feet) and the result will be in cubic units of that system.
What is the difference between area and volume?
Area measures two-dimensional space (length × width) in square units, while volume measures three-dimensional space (length × width × height) in cubic units. A rectangle has area, but only 3D shapes like cubes and spheres have volume.