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A rectangular prism (also called a cuboid or box) is a 3D shape with six rectangular faces. Its volume is the product of its three dimensions: V = l × w × h (length × width × height). A cube is a special case where all three dimensions are equal.
The surface area is the total area of all six faces: SA = 2(lw + lh + wh). This tells you how much material you'd need to wrap the box. The diagonal of a rectangular prism (from one corner to the opposite) is d = √(l² + w² + h²).
Rectangular prisms are the most common 3D shape in everyday life: boxes, rooms, bricks, books, swimming pools, and shipping containers are all rectangular prisms.
V = l × w × h
V = πr²h — cylindrical containers
Sphere Volume CalculatorV = (4/3)πr³ — spherical volume
Cone Volume CalculatorV = (1/3)πr²h — cone volume and slant height
Surface Area CalculatorAll 3D shapes in one calculator
Perimeter CalculatorPerimeter of 2D shapes
Triangle Area Calculator2D area calculations
This calculator is for educational purposes only and does not constitute professional advice. Results are based on standard mathematical formulas. Always verify critical calculations with a qualified professional before making important decisions.