Rectangular Prism Volume

V = l × w × h. Box / cuboid volume.

Inputs

Result

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How to use this calculator

  • Enter length, width, height.
  • Read volume + surface area + diagonal.

About this calculator

A rectangular prism (cuboid, box) has three pairs of identical rectangular faces. Volume = l × w × h. Surface area = 2(lw + lh + wh). The body diagonal is √(l² + w² + h²) — the longest item that fits diagonally. Used everywhere: shipping boxes, room dimensions, tank capacity.

Frequently asked

Same as box?+
Yes — "rectangular prism" and "cuboid" and "box" are interchangeable in everyday usage.
Surface area for shipping cost?+
Cardboard cost scales with surface area; volume scales with l × w × h. Different optimization curves.
Volume in liters from cm dimensions?+
1000 cm³ = 1 L. So a 20 × 30 × 40 cm box holds 24,000 cm³ = 24 L.
Length × width × height — does order matter?+
No — multiplication is commutative. l × w × h = w × l × h = h × l × w.
When does rectangular not equal "rectangular prism"?+
Cube is rectangular prism with all sides equal. Square base prism: only base is square. Rectangular prism: all faces rectangular.

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