Loading...
Calculate volume & surface area of cube, cylinder, sphere, cone, pyramid & box instantly. Get accurate results with step-by-step solutions.
Calculate volume & surface area for all 3D shapes
Cube: All sides are equal. Enter the length of one side.
Formula: Volume = a³, Surface Area = 6a²
A volume calculator is a mathematical tool that helps you calculate the three-dimensional space occupied by various geometric shapes. Whether you need to find the volume of a cube, cylinder, sphere, cone, pyramid, or rectangular prism, our calculator provides instant accurate results with detailed step-by-step solutions.
Select Shape: Choose the 3D shape (cube, cylinder, sphere, cone, pyramid, or box)
Enter Dimensions: Input the required measurements (radius, height, side length, etc.)
Calculate: Click the Calculate button to get instant results
View Results: See volume, surface area, and complete step-by-step solution
All sides equal. Volume = a³, Surface Area = 6a²
Example: side = 5 → V = 125 cubic units
Volume = length × width × height
Example: 5×3×2 = 30 cubic units
Volume = πr²h, Surface Area = 2πr(r+h)
Example: r=3, h=5 → V ≈ 141.37
Volume = (4/3)πr³, Surface Area = 4πr²
Example: r=4 → V ≈ 268.08
Volume = (1/3)πr²h (1/3 of cylinder)
Example: r=3, h=5 → V ≈ 47.12
Volume = (1/3) × Base Area × height
Example: 4×3 base, h=6 → V = 24
Volume of a cube = a³, where 'a' is the length of one side. Since all sides of a cube are equal, simply cube the side length. For example, if side = 5, volume = 5³ = 125 cubic units.
Volume of cylinder = πr²h, where 'r' is the radius of the base and 'h' is the height. Multiply pi (3.14159) by the square of radius and then by height.
Volume of sphere = (4/3)πr³, where 'r' is the radius. Multiply 4/3 by pi by the cube of radius. For example, if radius = 3, volume = (4/3) × π × 27 ≈ 113.1 cubic units.
Volume of rectangular prism (box) = length × width × height. Simply multiply all three dimensions together. This is the most basic volume formula.
Volume of cone = (1/3)πr²h, where 'r' is base radius and 'h' is height. It's one-third of a cylinder's volume with the same base and height.
Volume of pyramid = (1/3) × Base Area × Height. For a rectangular base: V = (1/3) × length × width × height. The volume is one-third of a prism with the same base and height.
Common conversions: 1 cubic meter = 1000 liters, 1 cubic foot = 7.48 gallons, 1 cubic inch = 16.387 cubic centimeters. Multiply by conversion factor based on your units.
Volume measures the 3D space inside an object (cubic units), while surface area measures the total area of all outer surfaces (square units). Volume represents capacity; surface area represents coverage.
For irregular shapes, use water displacement method, break into regular shapes and add volumes, use calculus integration, or use 3D scanning software for complex objects.
Volume calculations are essential in construction for concrete quantities, shipping for package capacity, cooking for ingredient measurements, medicine for dosage calculations, engineering for tank capacity, and manufacturing for material requirements.
Identify the shape first, then use the appropriate formula: cube (a³), box (l×w×h), cylinder (πr²h), sphere ((4/3)πr³), cone ((1/3)πr²h), or pyramid ((1/3)×base×h).
Volume is measured in cubic units because it represents three-dimensional space. You multiply three linear dimensions (length × width × height), resulting in units³ like cm³, m³, or ft³.
Calculate surface area of 3D shapes
Calculate area of 2D shapes
Calculate circle area, circumference & more
Solve triangles with SSS, SAS, ASA methods
Calculate a² + b² = c² for right triangles
Calculate slope between two points
Calculate volume for cube, cylinder, sphere, cone, pyramid & box
Get volume, surface area, and detailed calculations
Understand the calculation process with detailed steps
Download or copy calculations for projects or homework
Get accurate results in milliseconds
No registration, no limits, completely free forever
Calculate concrete, gravel, or material quantities for building projects
Perfect for students learning geometry, mathematics, and physics
Determine package capacity and shipping volume requirements
Measure ingredient volumes and container capacities accurately
Calculate volumes for experiments, lab work, and research
Determine material requirements and production quantities