Cuboid Volume Calculator

A cuboid (also called a rectangular prism) is a 3D shape with six rectangular faces. Unlike a cube, the three dimensions — length, width, and height — can each be different values.

This calculator is unit-agnostic. If you enter measurements in centimeters, the result is in cubic centimeters (cm³). Use whatever unit matches your measurements.

A box is a cuboid. Measure its length, width, and height (all in the same unit), then multiply them together: V = l × w × h.

The surface area is SA = 2(lw + lh + wh). For example, a box that is 3 × 4 × 5 has a surface area of 2(12 + 15 + 20) = 94 square units.

One liter equals 1,000 cubic centimeters (cm³) or 0.001 cubic meters (m³). To convert a cuboid's volume to liters, calculate in centimeters and divide by 1,000. Our volume converter can handle this conversion for you.

Divide the container's interior volume by one box's volume for the theoretical maximum. A 20-foot container holds roughly 33 m³ of interior space. A box measuring 0.3 × 0.3 × 0.4 m occupies 0.036 m³, so about 900 fit in theory — fewer in practice due to packing gaps.

A cube minimizes surface area for a given volume. A box holding 1,000 cm³: the 10 × 10 × 10 cube uses 600 cm² of material, while a 5 × 10 × 20 box uses 800 cm². Closer to a cube means less packaging material.

Rearrange V = l × w × h: the unknown side = V / (the two known sides multiplied together). For example, a box with volume 120 cm³, length 6 cm, and width 4 cm has height = 120 / (6 × 4) = 5 cm.