Math

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Cuboid Surface Area Calculator.

Calculate a rectangular cuboid's total surface area and volume.

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Set your values

Results update as you type.

Result: surfaceArea: 52.000000 · volume: 24.000000

Result

surfaceArea: 52.000000 · volume: 24.000000

Use Cases

Packaging and Shipping

Determine the amount of material needed to wrap a box or the volume for shipping costs. Enter the box's dimensions to get both surface area and volume.

Example: A box 10 units long, 5 wide, and 3 high has surface area 190 sq units and volume 150 cubic units.

Construction and Home Improvement

Estimate the surface area of a room or container to calculate paint, tiles, or insulation needed, and the volume for capacity.

Example: For a room 12 ft × 10 ft × 8 ft, surface area is 592 sq ft and volume is 960 cubic ft.

Frequently Asked Questions

How do I calculate the surface area of a cuboid?
Enter the length, width, and height in the same units. The calculator uses the formula 2(lw + lh + wh) to compute the total surface area, which is the sum of the areas of all six faces.
What is the difference between surface area and volume?
Surface area is the total area of all faces, measured in square units. Volume is the space inside, measured in cubic units. This calculator provides both: surface area = 2(lw + lh + wh), volume = l × w × h.
Can I use different units for length, width, and height?
No, all three dimensions must be in the same unit for accurate results. If you enter mixed units, the calculator will assume they are the same, leading to incorrect surface area and volume.

Tips & Common Mistakes

Tips

  • Ensure all dimensions are in the same unit before calculating.
  • Double-check your measurements for accuracy, as small errors can significantly affect surface area and volume.
  • Use the volume result for capacity planning, and surface area for material estimation.
  • For irregular shapes, this calculator only works for rectangular cuboids.

Common Mistakes to Avoid

  • Mixing units (e.g., length in meters, width in centimeters) without converting.
  • Forgetting to multiply by 2 in the surface area formula, leading to half the correct value.
  • Entering negative or zero values, which are invalid for a cuboid.

Last updated: August 13, 2026