Platonic Solids Calculator
Result
Volume125 cm³
Surface Area150 cm²
Number of Faces6
↗ Math
Platonic Solids Calculator — free online calculator.
Formula
Tetrahedron: V=a³/(6√2); Cube: V=a³; Octahedron: V=(√2/3)a³; Dodecahedron: V=((15+7√5)/4)a³; Icosahedron: V=(5(3+√5)/12)a³
- Platonic Solids Calculator calculates its result from A. It uses the formula Tetrahedron: V=a³/(6√2); Cube: V=a³; Octahedron: V=(√2/3)a³; Dodecahedron: V=((15+7√5)/4)a³; Icosahedron: V=(5(3+√5)/12)a³. Change any input to recalculate the result instantly.
- The main inputs are Solid, Edge Length. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Platonic Solids
Inputs
- Solid: cube
- Edge Length: 5
Using A = 2, the calculated result is 17.453559925.
Sample result: Calculating…
Frequently asked questions
What does the Platonic Solids calculate?
Platonic Solids Calculator — free online calculator.
Which values should I enter?
Enter Solid, Edge Length using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Tetrahedron: V=a³/(6√2); Cube: V=a³; Octahedron: V=(√2/3)a³; Dodecahedron: V=((15+7√5)/4)a³; Icosahedron: V=(5(3+√5)/12)a³.
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.