Rectangular Prism Volume Calculator

Calculate the volume of a rectangular prism and view the result in multiple units with step-by-step solutions.

Enter Dimensions

Results

Volume
--
cubic units
In cubic centimeters --
In cubic meters --
In cubic inches --
In cubic feet --
In liters --
In gallons (US) --

Step-by-Step Solution

Rectangular Prism Volume Formula

The volume of a rectangular prism is calculated by multiplying its three dimensions together. The formula is straightforward:

Volume Formula

Multiply length by width by height.

V = l × w × h

Units

Volume is expressed in cubic units (e.g., cm³, m³, in³, ft³).

1 m³ = 1,000,000 cm³

Liquid Capacity

Convert cubic volume to liquid measure.

1 L = 1,000 cm³

How to Use This Calculator

  1. Enter the length, width, and height of the rectangular prism.
  2. Select the unit of measurement for your inputs.
  3. Click "Calculate Volume" or simply change a value -- the result updates automatically.
  4. View the volume in multiple units including liters and gallons.

Unit Conversion Reference

When working with rectangular prism volumes, it is often helpful to convert between different unit systems. Here are some key conversions:

  • 1 cubic meter = 1,000,000 cm³ = 1,000 liters
  • 1 cubic foot = 1,728 in³ = 28.3168 liters
  • 1 cubic inch = 16.3871 cm³
  • 1 liter = 0.264172 US gallons
  • 1 US gallon = 3.78541 liters

Practical Applications

Calculating the volume of a rectangular prism is essential in many real-world situations:

  • Shipping: Determining box volume for freight and postage calculations.
  • Aquariums: Finding the water capacity of rectangular tanks.
  • Construction: Estimating concrete or fill material needed.
  • Storage: Planning warehouse and container utilization.