calqulio.
◎ English · Global

Regular dodecahedron volume relation: Edge length Calculator

Regular dodecahedron volume relation: Calculate edge length from Volume. Check the formula, input units and worked result on this page.

Enter your values

cm³
Formula symbol: V. Required unit: cm³. Must be greater than zero.

Use a decimal point, without thousands separators.

Lengths use cm, areas cm² and volumes cm³ on one consistent scale. The positive real branch is selected; the supplied quantities must describe the stated shape.
Example result
Edge length
1 cm

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

All twelve faces are regular pentagons and all edges share a length. One face area is distinct from the total solid surface. This form solves for edge length; enter the known quantities in Volume.

Inputs and units
Regular dodecahedron volume relation: Edge length Calculator · Inputs and units
InputExample valueWhat to enter
Volume7.663118960624632 cm³Formula symbol: V. Required unit: cm³. Must be greater than zero.
a = ∛(4V/(15+7√5))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Volume
7.663118960624632 cm³

Complete example results

Edge length
1 cm

Reading the result

The result solves for edge length from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the edge length result?

Lengths use cm, areas cm² and volumes cm³ on one consistent scale. The positive real branch is selected; the supplied quantities must describe the stated shape.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: cs.cornell.edu

Methods & accuracy

What would you like to calculate?

Browse all calculators

Graphing calculator ↗