Antiprism Edge Length of Tetragonal Trapezohedron given Height Calculator

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

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

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Antiprism Edge Length of Tetragonal Trapezohedron given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Antiprism Edge Length of Tetragonal Trapezohedron = Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2))))
l_e(Antiprism) = h/(sqrt((1/2)*(4+3*sqrt(2))))
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 Tetragonal Trapezohedron - (Measured in Meter) - Antiprism Edge Length of Tetragonal Trapezohedron is the distance between any pair of adjacent vertices of the antiprism which corresponds to the Tetragonal Trapezohedron.
Height of Tetragonal Trapezohedron - (Measured in Meter) - Height of Tetragonal Trapezohedron is the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join.

STEP 1: Convert Input(s) to Base Unit

Height of Tetragonal Trapezohedron: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Antiprism) = h/(sqrt((1/2)*(4+3*sqrt(2)))) --> 20/(sqrt((1/2)*(4+3*sqrt(2))))

Evaluating ... ...

l_e(Antiprism) = 9.85171431009416

STEP 3: Convert Result to Output's Unit

9.85171431009416 Meter --> No Conversion Required

FINAL ANSWER

9.85171431009416 ≈ 9.851714 Meter <-- Antiprism Edge Length of Tetragonal Trapezohedron

(Calculation completed in 00.012 seconds)

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< Antiprism Edge Length of Tetragonal Trapezohedron Calculators

Antiprism Edge Length of Tetragonal Trapezohedron given Total Surface Area

LaTeX Go Antiprism Edge Length of Tetragonal Trapezohedron = sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2))))

Antiprism Edge Length of Tetragonal Trapezohedron given Long Edge

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

Antiprism Edge Length of Tetragonal Trapezohedron given Height

LaTeX Go Antiprism Edge Length of Tetragonal Trapezohedron = Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2))))

Antiprism Edge Length of Tetragonal Trapezohedron given Short Edge

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

Antiprism Edge Length of Tetragonal Trapezohedron given Height Formula

LaTeX Go

Antiprism Edge Length of Tetragonal Trapezohedron = Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2))))
l_e(Antiprism) = h/(sqrt((1/2)*(4+3*sqrt(2))))

What is a Tetragonal Trapezohedron?

In geometry, a Tetragonal Trapezohedron, or deltohedron, is the second in an infinite series of trapezohedra, which are dual to the antiprisms. It has eight faces, which are congruent kites, and is dual to the square antiprism.

What is a Trapezohedron?

The n-gonal Trapezohedron, antidipyramid, antibipyramid, or deltohedron is the dual polyhedron of an n-gonal antiprism. The 2n faces of the n-trapezohedron are congruent and symmetrically staggered; they are called twisted kites. With a higher symmetry, its 2n faces are kites (also called deltoids). The n-gon part of the name does not refer to faces here but to two arrangements of vertices around an axis of symmetry. The dual n-gonal antiprism has two actual n-gon faces. An n-gonal trapezohedron can be dissected into two equal n-gonal pyramids and an n-gonal antiprism.

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

Antiprism Edge Length of Tetragonal Trapezohedron given Height calculator uses Antiprism Edge Length of Tetragonal Trapezohedron = Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2)))) to calculate the Antiprism Edge Length of Tetragonal Trapezohedron, The Antiprism Edge Length of Tetragonal Trapezohedron given Height formula is defined as the distance between any pair of adjacent vertices of the antiprism which corresponds to the Tetragonal Trapezohedron, calculated using its height. Antiprism Edge Length of Tetragonal Trapezohedron is denoted by l_e(Antiprism) symbol.

How to calculate Antiprism Edge Length of Tetragonal Trapezohedron given Height using this online calculator? To use this online calculator for Antiprism Edge Length of Tetragonal Trapezohedron given Height, enter Height of Tetragonal Trapezohedron (h) and hit the calculate button. Here is how the Antiprism Edge Length of Tetragonal Trapezohedron given Height calculation can be explained with given input values -> 9.851714 = 20/(sqrt((1/2)*(4+3*sqrt(2)))).

FAQ

What is Antiprism Edge Length of Tetragonal Trapezohedron given Height?

The Antiprism Edge Length of Tetragonal Trapezohedron given Height formula is defined as the distance between any pair of adjacent vertices of the antiprism which corresponds to the Tetragonal Trapezohedron, calculated using its height and is represented as l_e(Antiprism) = h/(sqrt((1/2)*(4+3*sqrt(2)))) or Antiprism Edge Length of Tetragonal Trapezohedron = Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2)))). Height of Tetragonal Trapezohedron is the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join.

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

The Antiprism Edge Length of Tetragonal Trapezohedron given Height formula is defined as the distance between any pair of adjacent vertices of the antiprism which corresponds to the Tetragonal Trapezohedron, calculated using its height is calculated using Antiprism Edge Length of Tetragonal Trapezohedron = Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2)))). To calculate Antiprism Edge Length of Tetragonal Trapezohedron given Height, you need Height of Tetragonal Trapezohedron (h). With our tool, you need to enter the respective value for Height of Tetragonal 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 Tetragonal Trapezohedron?

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

Antiprism Edge Length of Tetragonal Trapezohedron = sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2))))
Antiprism Edge Length of Tetragonal Trapezohedron = (2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2))))
Antiprism Edge Length of Tetragonal Trapezohedron = Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1))

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