Rectangular Prism Volume Calculator – Find Box Capacity

Calculate the volume of a rectangular prism (box) using length, width, and height.

Enter length, width, and height, then click Calculate Volume.

A rectangular prism (also known as a cuboid or rectangular box) is a three-dimensional shape with six rectangular faces, where all angles are right angles. The volume of a rectangular prism represents the amount of space it occupies, calculated by multiplying its length, width, and height: V = l × w × h. This formula works because the prism can be divided into unit cubes; the number of cubes equals the product of the three dimensions. Surface area (SA = 2(lw + lh + wh)) and space diagonal (d = √(l² + w² + h²)) are also derived from the same dimensions. This calculator is essential for applications in packaging, construction, shipping, storage, and interior design. Understanding how to calculate volume helps in determining container capacities, material quantities, and efficient space utilization.

  1. Enter the Length of the rectangular prism.
  2. Enter the Width of the rectangular prism.
  3. Enter the Height of the rectangular prism.
  4. Click Calculate Volume to compute the volume, surface area, and space diagonal.
  5. The result shows the volume in cubic units, surface area in square units, and diagonal.
  6. Click Reset to restore default example values.

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