Volume Calculator

How to Calculate Volume

Volume calculation determines the amount of three-dimensional space occupied by an object. Our volume calculator supports six common geometric shapes, each with its own formula and use cases.

Volume Formulas by Shape

Cube Volume

Formula: V = s³ (where s = side length)

A cube has all sides equal. To calculate cube volume, multiply the side length by itself three times. For example, a cube with 5-inch sides has volume of 5 × 5 × 5 = 125 cubic inches. Cubes are common in dice, storage boxes, and building blocks.

Rectangular Prism Volume

Formula: V = l × w × h (length × width × height)

Also called a box or cuboid, the rectangular prism is the most common shape for containers, rooms, and packages. Simply multiply all three dimensions together. A box measuring 10" × 8" × 6" has volume of 480 cubic inches.

Cylinder Volume

Formula: V = πr²h (where r = radius, h = height)

To calculate cylinder volume, multiply pi (3.14159) by the radius squared, then multiply by height. Cylinders are found in cans, pipes, tanks, and barrels. A cylinder with 4-inch radius and 10-inch height has volume of approximately 502.65 cubic inches.

Sphere Volume

Formula: V = (4/3)πr³ (where r = radius)

Spheres are perfectly round objects like balls, planets, and bubbles. The sphere volume formula uses four-thirds pi times radius cubed. A sphere with 6-inch radius has volume of approximately 904.78 cubic inches.

Cone Volume

Formula: V = (1/3)πr²h (where r = radius, h = height)

A cone is exactly one-third the volume of a cylinder with the same radius and height. Ice cream cones, traffic cones, and funnels are common examples. A cone with 3-inch radius and 8-inch height has volume of approximately 75.40 cubic inches.

Pyramid Volume

Formula: V = (1/3)Bh (where B = base area, h = height)

For a square pyramid, B = side². Like cones, pyramids are one-third the volume of the corresponding prism. A pyramid with 8-inch square base and 10-inch height has volume of (1/3) × 64 × 10 = 213.33 cubic inches.

Common Volume Conversions

• 1 cubic foot = 1,728 cubic inches
• 1 cubic meter = 1,000 liters
• 1 cubic meter = 1,000,000 cubic centimeters
• 1 gallon = 231 cubic inches
• 1 liter = 61.024 cubic inches
• 1 cubic foot = 7.48 gallons

Practical Applications

Volume calculations are essential in many fields:

• Construction: Calculate concrete, fill dirt, or material quantities
• Shipping: Determine package sizes and freight volumes
• Cooking: Convert recipe measurements and container sizes
• Science: Measure liquid volumes, displacement, and density
• Engineering: Design tanks, containers, and storage systems
• Real Estate: Calculate room sizes and storage capacity
• Manufacturing: Determine material requirements and costs

Why Use Our Volume Calculator?

• Calculate volume for 6 different shapes on one page
• Support for multiple units (inches, feet, centimeters, meters)
• Results displayed in cubic inches, cubic feet, cubic meters, liters, and gallons
• Instant calculations with real-time results
• 100% free with no registration or email required
• Complete privacy - all calculations performed locally in your browser
• Mobile-friendly interface works on any device
• No ads or distractions
• See the formula used for each calculation

Tips for Accurate Volume Calculations

• Always use the same unit for all dimensions (don't mix inches and feet)
• For cylinders and spheres, measure the radius (half the diameter), not the full width
• Round measurements to the same number of decimal places for consistency
• For irregular shapes, break them into multiple regular shapes and add volumes
• When measuring liquids, remember that volume and capacity aren't always the same
• Consider container wall thickness for accurate internal volume