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Volume of a Rectangular Prism Calculator

Interactive 3D box — adjust width, height & depth, see volume update live

Calculate the volume of a rectangular prism (box or cuboid) instantly with this free interactive 3D calculator. The formula is V = l × w × h, where l is length, w is width, and h is height. Enter your three dimensions in the panel and watch the 3D model reshape in real time — volume and surface area are computed as you type.

Use this tool for everyday calculations: find the volume of a room (for AC sizing or paint estimation), determine shipping box capacity, calculate aquarium water volume, estimate swimming pool capacity, or figure out how much concrete you need for a slab. For example, a box measuring 3 × 4 × 5 cm has a volume of 60 cm³.

Need help? The built-in AI chat assistant can explain the difference between rectangular prisms and cubes, help with unit conversions (cubic feet to gallons, cm³ to liters), or walk you through word problems step by step.

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FAQ

What is the volume of a rectangular prism?
V = lwh (length × width × height). For a box with dimensions 3 × 4 × 5, the volume is 60 cubic units.
What is the surface area of a rectangular prism?
SA = 2(lw + lh + wh). Each pair of opposite faces has the same area.
What is the difference between a rectangular prism and a cube?
A cube is a special rectangular prism where all three dimensions (l, w, h) are equal. A rectangular prism can have different length, width, and height.
How do I use this rectangular prism calculator?
Enter the width, height, and depth in the input panel. The 3D model updates live as you adjust the values. Volume and surface area are computed instantly. You can also ask the AI chat assistant for step-by-step explanations or help with unit conversions.
What are real-world uses for rectangular prism volume?
Calculating room volume (for AC sizing and ventilation), aquarium water capacity, shipping box dimensions, swimming pool volume, concrete slab estimation, storage unit capacity, and refrigerator interior space. The formula V = l × w × h is the most commonly used volume calculation in everyday life.

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