Rectangular Prism Volume Calculator

Online cuboid volume calculator, supporting length, width, and height input and dynamic 3D visualization, including surface area and space diagonal calculations

Bug report

Browser execution mode: Your data is processed in your browser and is not uploaded to the server.

Speed and Stability: Processing speed depends on your device and browser. For large batch work, the desktop version may be more stable.

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If the online tool fails to load or run, try the desktop tool.https://tools.yikeaigc.com/

Tool Usage

Return to old version

Set length, width, height, and units first, then calculate volume and check conversions.

For boxes, rooms, aquariums, packaging, and solid geometry. Enter values to view volume, surface area, space diagonal, total edge length, face area breakdown, and estimated material weight.

Length, Width, Height 3D Live Preview Cubic Unit Conversion Save Settings

Sample Data Click to keep editing parameters

Parameters

Set length, width, height, units, and precision first. With auto-calc on, any change updates the results.

Cuboid Dimensions All three dimensions must be greater than 0

Length l

Width w

Height h

Calculation Options Result units can match input units automatically

Input length unit

Volume result unit

Decimal places

Material weight estimate Density is optional, in g/cm³

Material preset

Density g/cm³

Weight estimate is calculated as “volume × density”, useful for material usage or capacity reference.

Display options Toggle to suit your use

Show calculation steps Auto calculate Use thousands separators

Results

Shows volume, surface area, space diagonal, face area breakdown, and formula steps. If results are empty, go back to parameters and calculate.

Complete the parameters first, then click “Calculate cuboid volume”.

Cuboid volume

Surface area

Space diagonal

Total edge length

Base area

Lateral area

Weight estimate

Calculation steps Easy formula substitution check

Conversion Export

Convert the same volume to cubic millimeters, cubic centimeters, cubic meters, liters, and imperial volume units, and export CSV.

Volume unit conversion Based on the same cuboid volume

Unit	Converted result	Note

Face area breakdown Each pair of opposite faces has the same area

Item	Single-face area	Two-face total

Instructions

Software Usage Instructions

Set the rectangular prism dimensions: Enter the length, width, and height in “Parameter Settings”; all three values must be greater than 0.
Select units and precision: Choose the input length unit, volume result unit, and number of decimal places; the volume result unit can be set to auto-match or specified as liters, cubic meters, cubic centimeters, etc.
Select material weight estimation: To estimate weight, select a material preset or enter a custom density; the density unit is g/cm³.
Start calculation: Click “Calculate Rectangular Prism Volume,” and the tool will generate results such as volume, surface area, space diagonal, total edge length, base area, and lateral surface area.
View conversions and breakdowns: Go to the “Conversion Export” page to view conversion results in different volume units and the area breakdown of the three pairs of opposite faces.
Save and export: You can save the current settings, copy the volume or full results, copy a share link with parameters, or download a CSV results file.

FAQ

A: The formula for the volume of a rectangular prism is V = length × width × height. For example, if the length is 10cm, the width is 6cm, and the height is 4cm, the volume is 10×6×4=240cm³.

A: Surface area includes the areas of all 6 faces of the rectangular prism, with the formula S = 2(lw + lh + wh); lateral surface area usually refers to the combined area of the front, back, left, and right faces, excluding the top and bottom faces.

A: The space diagonal connects two opposite vertices inside the rectangular prism. The formula is d = √(l² + w² + h²), and it can be used for packaging, transportation, and checking spatial distances.

A: Length units such as millimeters, centimeters, meters, inches, feet, and yards are supported; volume results can be converted to mm³, cm³, m³, mL, L, in³, ft³, and yd³.

A: Weight is estimated as “volume × density” and is suitable as a material usage reference. Actual weight may be affected by factors such as material moisture content, voids, and processed structure, so calibration with measured density is recommended.

A: Volume represents the size of three-dimensional space, so its units need to be cubed, such as cm³ and m³; area represents two-dimensional coverage, so its units are cm² and m².