Base Length of Pentakis Dodecahedron given Leg Length Calculator

✖Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron.ⓘ Leg Length of Pentakis Dodecahedron [l_Leg]

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✖Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron.ⓘ Base Length of Pentakis Dodecahedron given Leg Length [l_Base]

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Base Length of Pentakis Dodecahedron given Leg Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Length of Pentakis Dodecahedron = (38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5)))
l_Base = (38*l_Leg)/(3*(9+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

Base Length of Pentakis Dodecahedron - (Measured in Meter) - Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron.
Leg Length of Pentakis Dodecahedron - (Measured in Meter) - Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Leg Length of Pentakis Dodecahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Base = (38*l_Leg)/(3*(9+sqrt(5))) --> (38*9)/(3*(9+sqrt(5)))

Evaluating ... ...

l_Base = 10.1458980337503

STEP 3: Convert Result to Output's Unit

10.1458980337503 Meter --> No Conversion Required

FINAL ANSWER

10.1458980337503 ≈ 10.1459 Meter <-- Base Length of Pentakis Dodecahedron

(Calculation completed in 00.020 seconds)

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< Base Length of Pentakis Dodecahedron Calculators

Base Length of Pentakis Dodecahedron given Total Surface Area

LaTeX Go Base Length of Pentakis Dodecahedron = sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))

Base Length of Pentakis Dodecahedron given Volume

LaTeX Go Base Length of Pentakis Dodecahedron = (((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3))

Base Length of Pentakis Dodecahedron given Midsphere Radius

LaTeX Go Base Length of Pentakis Dodecahedron = (4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5))

Base Length of Pentakis Dodecahedron given Leg Length

LaTeX Go Base Length of Pentakis Dodecahedron = (38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5)))

Base Length of Pentakis Dodecahedron given Leg Length Formula

LaTeX Go

Base Length of Pentakis Dodecahedron = (38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5)))
l_Base = (38*l_Leg)/(3*(9+sqrt(5)))

What is Pentakis Dodecahedron?

A Pentakis Dodecahedron is a polyhedron with isosceles triangle faces. Five of these are attached as a pyramid on each face of a dodecahedron.
It has 60 faces, 90 edges, 32 vertices.

How to Calculate Base Length of Pentakis Dodecahedron given Leg Length?

Base Length of Pentakis Dodecahedron given Leg Length calculator uses Base Length of Pentakis Dodecahedron = (38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))) to calculate the Base Length of Pentakis Dodecahedron, Base Length of Pentakis Dodecahedron given Leg Length is the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using leg length of Pentakis Dodecahedron. Base Length of Pentakis Dodecahedron is denoted by l_Base symbol.

How to calculate Base Length of Pentakis Dodecahedron given Leg Length using this online calculator? To use this online calculator for Base Length of Pentakis Dodecahedron given Leg Length, enter Leg Length of Pentakis Dodecahedron (l_Leg) and hit the calculate button. Here is how the Base Length of Pentakis Dodecahedron given Leg Length calculation can be explained with given input values -> 10.1459 = (38*9)/(3*(9+sqrt(5))).

FAQ

What is Base Length of Pentakis Dodecahedron given Leg Length?

Base Length of Pentakis Dodecahedron given Leg Length is the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using leg length of Pentakis Dodecahedron and is represented as l_Base = (38*l_Leg)/(3*(9+sqrt(5))) or Base Length of Pentakis Dodecahedron = (38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))). Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron.

How to calculate Base Length of Pentakis Dodecahedron given Leg Length?

Base Length of Pentakis Dodecahedron given Leg Length is the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using leg length of Pentakis Dodecahedron is calculated using Base Length of Pentakis Dodecahedron = (38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))). To calculate Base Length of Pentakis Dodecahedron given Leg Length, you need Leg Length of Pentakis Dodecahedron (l_Leg). With our tool, you need to enter the respective value for Leg Length of Pentakis 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 Base Length of Pentakis Dodecahedron?

In this formula, Base Length of Pentakis Dodecahedron uses Leg Length of Pentakis Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Base Length of Pentakis Dodecahedron = sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))
Base Length of Pentakis Dodecahedron = (((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3))
Base Length of Pentakis Dodecahedron = (4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5))

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