How do you calculate the volume of a cube?

The volume of a cube is calculated using the formula V = s³, where s is the length of one side. For example, a cube with 5-unit sides has a volume of 5³ = 125 cubic units.

What is the formula for sphere volume?

The volume of a sphere is V = (4/3)πr³, where r is the radius. This formula calculates the space inside a perfectly round 3D object.

How do you find cylinder volume?

Cylinder volume is calculated with V = πr²h, where r is the radius of the circular base and h is the height. This works for any cylindrical container or pipe.

What shapes can this volume calculator handle?

Our calculator supports 15+ shapes including cube, sphere, cylinder, cone, rectangular prism, triangular prism, pyramid, ellipsoid, hemisphere, and more.

How accurate are the material estimates?

Material estimates are based on standard conversions: 1 cubic yard = 27 cubic feet for concrete, 1 cubic foot = 7.48 gallons for water capacity, and surface area equals paint coverage in square feet.

Can I use this for construction projects?

Yes! The calculator provides concrete volume in cubic yards, paint coverage in square feet, and water capacity in gallons - all useful for construction, landscaping, and DIY projects.

Volume Calculator - 3D Shape Volume & Surface Area Calculator | AI Calculator

Volume is the amount of three-dimensional space enclosed by a shape or object. It's measured in cubic units such as cubic meters (m³), cubic feet (ft³), or cubic inches (in³). Understanding volume calculations is essential for construction, engineering, manufacturing, cooking, and many everyday applications.

Common 3D Shapes and Their Volume Formulas

📦 Cube

Formula: V = s³

Where s is the side length. All sides are equal in a cube.

Example: A 4-foot cube has volume = 4³ = 64 ft³

⚽ Sphere

Formula: V = (4/3)πr³

Where r is the radius from center to surface.

Example: A ball with 3-inch radius has volume ≈ 113.1 in³

🥫 Cylinder

Formula: V = πr²h

Where r is base radius and h is height.

Example: A can with 2-inch radius and 6-inch height has volume ≈ 75.4 in³

🍦 Cone

Formula: V = (1/3)πr²h

Where r is base radius and h is height from base to tip.

Example: A cone with 3-foot radius and 9-foot height has volume ≈ 84.8 ft³

Real-World Applications

🏗️ Construction

• Calculate concrete needed for foundations
• Determine paint coverage for surfaces
• Size storage tanks and containers
• Plan material quantities for projects

🎓 Education

• Geometry and mathematics learning
• Physics and engineering problems
• Science fair projects
• Homework and test preparation

🏠 Home & DIY

• Pool and spa capacity calculations
• Garden bed soil requirements
• Storage container sizing
• Cooking and baking measurements

Volume vs Surface Area

While volume measures the space inside a 3D object, surface area measures the total area of all surfaces that form the boundary of the object. Both measurements are important:

Volume helps determine capacity, material needs, and space requirements
Surface Area is crucial for painting, coating, heat transfer, and material covering
Our calculator provides both measurements with accurate formulas for each shape

Tips for Accurate Measurements

• Always use consistent units (all in feet, meters, etc.)
• Measure twice to ensure accuracy, especially for expensive materials
• Add 5-10% extra for waste when ordering materials
• Consider irregular shapes by breaking them into simpler geometric forms
• Use our material estimates as starting points - consult professionals for critical projects