Antiprism Edge Length of Pentagonal Trapezohedron given Height Calculator

✖Height of Pentagonal Trapezohedron is the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join.ⓘ Height of Pentagonal Trapezohedron [h]

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✖Antiprism Edge Length of Pentagonal Trapezohedron is the distance between any pair of adjacent vertices of the antiprism which corresponds to the Pentagonal Trapezohedron.ⓘ Antiprism Edge Length of Pentagonal Trapezohedron given Height [l_e(Antiprism)]

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Antiprism Edge Length of Pentagonal Trapezohedron given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Antiprism Edge Length of Pentagonal Trapezohedron = Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5))))
l_e(Antiprism) = h/((sqrt(5+2*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

Antiprism Edge Length of Pentagonal Trapezohedron - (Measured in Meter) - Antiprism Edge Length of Pentagonal Trapezohedron is the distance between any pair of adjacent vertices of the antiprism which corresponds to the Pentagonal Trapezohedron.
Height of Pentagonal Trapezohedron - (Measured in Meter) - Height of Pentagonal Trapezohedron is the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join.

STEP 1: Convert Input(s) to Base Unit

Height of Pentagonal Trapezohedron: 30 Meter --> 30 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Antiprism) = h/((sqrt(5+2*sqrt(5)))) --> 30/((sqrt(5+2*sqrt(5))))

Evaluating ... ...

l_e(Antiprism) = 9.74759088698719

STEP 3: Convert Result to Output's Unit

9.74759088698719 Meter --> No Conversion Required

FINAL ANSWER

9.74759088698719 ≈ 9.747591 Meter <-- Antiprism Edge Length of Pentagonal Trapezohedron

(Calculation completed in 00.020 seconds)

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< Antiprism Edge Length of Pentagonal Trapezohedron Calculators

Antiprism Edge Length of Pentagonal Trapezohedron given Total Surface Area

LaTeX Go Antiprism Edge Length of Pentagonal Trapezohedron = sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5))))))

Antiprism Edge Length of Pentagonal Trapezohedron given Height

LaTeX Go Antiprism Edge Length of Pentagonal Trapezohedron = Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5))))

Antiprism Edge Length of Pentagonal Trapezohedron given Short Edge

LaTeX Go Antiprism Edge Length of Pentagonal Trapezohedron = Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2))

Antiprism Edge Length of Pentagonal Trapezohedron given Long Edge

LaTeX Go Antiprism Edge Length of Pentagonal Trapezohedron = Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2))

Antiprism Edge Length of Pentagonal Trapezohedron given Height Formula

LaTeX Go

Antiprism Edge Length of Pentagonal Trapezohedron = Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5))))
l_e(Antiprism) = h/((sqrt(5+2*sqrt(5))))

What is a Pentagonal Trapezohedron?

In geometry, a Pentagonal Trapezohedron or deltohedron is the third in an infinite series of face-transitive polyhedra which are dual polyhedra to the antiprisms. It has ten faces (i.e., it is a decahedron) which are congruent kites. It can be decomposed into two pentagonal pyramids and a pentagonal antiprism in the middle. It can also be decomposed into two pentagonal pyramids and a dodecahedron in the middle.

How to Calculate Antiprism Edge Length of Pentagonal Trapezohedron given Height?

Antiprism Edge Length of Pentagonal Trapezohedron given Height calculator uses Antiprism Edge Length of Pentagonal Trapezohedron = Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))) to calculate the Antiprism Edge Length of Pentagonal Trapezohedron, The Antiprism Edge Length of Pentagonal Trapezohedron given Height formula is defined as the distance between any pair of adjacent vertices of the antiprism which corresponds to the Pentagonal Trapezohedron, calculated using its height. Antiprism Edge Length of Pentagonal Trapezohedron is denoted by l_e(Antiprism) symbol.

How to calculate Antiprism Edge Length of Pentagonal Trapezohedron given Height using this online calculator? To use this online calculator for Antiprism Edge Length of Pentagonal Trapezohedron given Height, enter Height of Pentagonal Trapezohedron (h) and hit the calculate button. Here is how the Antiprism Edge Length of Pentagonal Trapezohedron given Height calculation can be explained with given input values -> 9.747591 = 30/((sqrt(5+2*sqrt(5)))).

FAQ

What is Antiprism Edge Length of Pentagonal Trapezohedron given Height?

The Antiprism Edge Length of Pentagonal Trapezohedron given Height formula is defined as the distance between any pair of adjacent vertices of the antiprism which corresponds to the Pentagonal Trapezohedron, calculated using its height and is represented as l_e(Antiprism) = h/((sqrt(5+2*sqrt(5)))) or Antiprism Edge Length of Pentagonal Trapezohedron = Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))). Height of Pentagonal Trapezohedron is the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join.

How to calculate Antiprism Edge Length of Pentagonal Trapezohedron given Height?

The Antiprism Edge Length of Pentagonal Trapezohedron given Height formula is defined as the distance between any pair of adjacent vertices of the antiprism which corresponds to the Pentagonal Trapezohedron, calculated using its height is calculated using Antiprism Edge Length of Pentagonal Trapezohedron = Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))). To calculate Antiprism Edge Length of Pentagonal Trapezohedron given Height, you need Height of Pentagonal Trapezohedron (h). With our tool, you need to enter the respective value for Height of Pentagonal Trapezohedron 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 Antiprism Edge Length of Pentagonal Trapezohedron?

In this formula, Antiprism Edge Length of Pentagonal Trapezohedron uses Height of Pentagonal Trapezohedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Antiprism Edge Length of Pentagonal Trapezohedron = Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2))
Antiprism Edge Length of Pentagonal Trapezohedron = Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2))
Antiprism Edge Length of Pentagonal Trapezohedron = sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5))))))

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