What is the formula for the volume of a cuboid?

Volume = Length × Width × Height. If all three dimensions are in the same unit (e.g. cm), the result is in that unit cubed (cm³).

What is the surface area formula for a cuboid?

Total Surface Area = 2 × (LW + LH + WH), where L is length, W is width, and H is height. This accounts for all six rectangular faces.

What is the space diagonal of a cuboid?

The space diagonal is the longest straight line through the interior of the cuboid, calculated as √(L² + W² + H²).

What is the difference between a cuboid and a cube?

A cube is a special cuboid where all three dimensions (length, width, height) are equal. A cuboid can have different values for each dimension.

Which unit should I use?

Use any consistent unit for all three dimensions. The tool labels the result with the matching cubed or squared unit automatically.

What is the volume of a cuboid with dimensions 20 x 14 x 8?

Apply V = L x W x H: 20 x 14 x 8 = 2,240. So the cuboid holds 2,240 cubic units (e.g. 2,240 cm³ if the dimensions are in cm).

What are the two formulas for the volume of a cuboid?

Volume = Length x Width x Height (the dimensional form). Or Volume = Base Area x Height, where Base Area = L x W. Both give the same result for a rectangular cuboid.

Volume of a Cuboid Calculator

Name: Volume of a Cuboid Calculator
Availability: InStock
Author: Nham Vu

Enter the length, width, and height of a cuboid to instantly compute its volume and total surface area.

Cuboid Dimensions

Unit

Length (L)

Width (W)

Height (H)

Results

Enter dimensions and click Calculate.

Copied!

Summary

Enter the length, width, and height of a cuboid to instantly compute its volume and total surface area.

How it works

Enter the length, width, and height of the cuboid.
Choose your preferred unit (cm, m, in, ft, etc.).
The calculator instantly computes the volume (L × W × H).
It also computes the total surface area using 2(LW + LH + WH).
The space diagonal is calculated via √(L² + W² + H²).
Copy any result with one click.

Use cases

Calculate the volume of a shipping box or storage container.
Find how much soil, water, or concrete fills a rectangular space.
Determine the surface area needed to wrap or paint a box.
Estimate the interior volume of a room or cabinet.
Solve geometry homework involving rectangular prisms.
Compute aquarium or pool water capacity.
Cross-check manual cuboid calculations quickly.
Convert box dimensions into volume for logistics planning.

Frequently Asked Questions

Last updated: 2026-06-13 · Reviewed by Nham Vu