## Face Perimeter of Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Face Perimeter of Dodecahedron = 5*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))
PFace = 5*sqrt(TSA/(3*sqrt(25+(10*sqrt(5)))))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Face Perimeter of Dodecahedron - (Measured in Meter) - Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron.
Total Surface Area of Dodecahedron - (Measured in Square Meter) - Total Surface Area of Dodecahedron is the total quantity of plane enclosed by the entire surface of the Dodecahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Dodecahedron: 2100 Square Meter --> 2100 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PFace = 5*sqrt(TSA/(3*sqrt(25+(10*sqrt(5))))) --> 5*sqrt(2100/(3*sqrt(25+(10*sqrt(5)))))
Evaluating ... ...
PFace = 50.427163791143
STEP 3: Convert Result to Output's Unit
50.427163791143 Meter --> No Conversion Required
50.427163791143 50.42716 Meter <-- Face Perimeter of Dodecahedron
(Calculation completed in 00.004 seconds)
You are here -
Home » Math »

## Credits

Created by Nikhil
Mumbai University (DJSCE), Mumbai
Nikhil has created this Calculator and 400+ more calculators!
Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
Nikita Kumari has verified this Calculator and 600+ more calculators!

## <Face Perimeter of Dodecahedron Calculators

Face Perimeter of Dodecahedron given Total Surface Area
​ Go Face Perimeter of Dodecahedron = 5*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))
Face Perimeter of Dodecahedron given Face Area
​ Go Face Perimeter of Dodecahedron = 5*sqrt((4*Face Area of Dodecahedron)/(sqrt(25+(10*sqrt(5)))))
Face Perimeter of Dodecahedron given Circumsphere Radius
​ Go Face Perimeter of Dodecahedron = (20*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))
Face Perimeter of Dodecahedron
​ Go Face Perimeter of Dodecahedron = 5*Edge Length of Dodecahedron

## Face Perimeter of Dodecahedron given Total Surface Area Formula

Face Perimeter of Dodecahedron = 5*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))
PFace = 5*sqrt(TSA/(3*sqrt(25+(10*sqrt(5)))))

## What is a Dodecahedron?

A Dodecahedron is a symmetric and closed three dimensional shape with 12 identical pentagonal faces. It is a Platonic solid, which has 12 faces, 20 vertices and 30 edges. At each vertex, three pentagonal faces meet and at each edge, two pentagonal faces meet. Out of all the five Platonic solids with identical edge length, Dodecahedron will have the highest value of volume and surface area.

## What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

## How to Calculate Face Perimeter of Dodecahedron given Total Surface Area?

Face Perimeter of Dodecahedron given Total Surface Area calculator uses Face Perimeter of Dodecahedron = 5*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5))))) to calculate the Face Perimeter of Dodecahedron, The Face Perimeter of Dodecahedron given Total Surface Area formula is defined as the total distance around the five edges of any face of the Dodecahedron, and calculated using the total surface area of Dodecahedron. Face Perimeter of Dodecahedron is denoted by PFace symbol.

How to calculate Face Perimeter of Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Face Perimeter of Dodecahedron given Total Surface Area, enter Total Surface Area of Dodecahedron (TSA) and hit the calculate button. Here is how the Face Perimeter of Dodecahedron given Total Surface Area calculation can be explained with given input values -> 50.42716 = 5*sqrt(2100/(3*sqrt(25+(10*sqrt(5))))).

### FAQ

What is Face Perimeter of Dodecahedron given Total Surface Area?
The Face Perimeter of Dodecahedron given Total Surface Area formula is defined as the total distance around the five edges of any face of the Dodecahedron, and calculated using the total surface area of Dodecahedron and is represented as PFace = 5*sqrt(TSA/(3*sqrt(25+(10*sqrt(5))))) or Face Perimeter of Dodecahedron = 5*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5))))). Total Surface Area of Dodecahedron is the total quantity of plane enclosed by the entire surface of the Dodecahedron.
How to calculate Face Perimeter of Dodecahedron given Total Surface Area?
The Face Perimeter of Dodecahedron given Total Surface Area formula is defined as the total distance around the five edges of any face of the Dodecahedron, and calculated using the total surface area of Dodecahedron is calculated using Face Perimeter of Dodecahedron = 5*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5))))). To calculate Face Perimeter of Dodecahedron given Total Surface Area, you need Total Surface Area of Dodecahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Dodecahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Face Perimeter of Dodecahedron?
In this formula, Face Perimeter of Dodecahedron uses Total Surface Area of Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Face Perimeter of Dodecahedron = 5*Edge Length of Dodecahedron
• Face Perimeter of Dodecahedron = 5*sqrt((4*Face Area of Dodecahedron)/(sqrt(25+(10*sqrt(5)))))
• Face Perimeter of Dodecahedron = (20*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))
Let Others Know