Height of Tetragonal Trapezohedron Calculator

✖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 [l_e(Antiprism)]

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✖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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Height of Tetragonal Trapezohedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Antiprism Edge Length of Tetragonal Trapezohedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt((1/2)*(4+3*sqrt(2)))*l_e(Antiprism) --> sqrt((1/2)*(4+3*sqrt(2)))*10

Evaluating ... ...

h = 20.3010353025644

STEP 3: Convert Result to Output's Unit

20.3010353025644 Meter --> No Conversion Required

FINAL ANSWER

20.3010353025644 ≈ 20.30104 Meter <-- Height of Tetragonal Trapezohedron

(Calculation completed in 00.008 seconds)

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< Height of Tetragonal Trapezohedron Calculators

Height of Tetragonal Trapezohedron given Total Surface Area

LaTeX Go Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2)))))

Height of Tetragonal Trapezohedron given Long Edge

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

Height of Tetragonal Trapezohedron given Short Edge

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

Height of Tetragonal Trapezohedron

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

Height of Tetragonal Trapezohedron Formula

LaTeX Go

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

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 Height of Tetragonal Trapezohedron?

Height of Tetragonal Trapezohedron calculator uses Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*Antiprism Edge Length of Tetragonal Trapezohedron to calculate the Height of Tetragonal Trapezohedron, The Height of Tetragonal Trapezohedron formula is defined as the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join. Height of Tetragonal Trapezohedron is denoted by h symbol.

How to calculate Height of Tetragonal Trapezohedron using this online calculator? To use this online calculator for Height of Tetragonal Trapezohedron, enter Antiprism Edge Length of Tetragonal Trapezohedron (l_e(Antiprism)) and hit the calculate button. Here is how the Height of Tetragonal Trapezohedron calculation can be explained with given input values -> 20.30104 = sqrt((1/2)*(4+3*sqrt(2)))*10.

FAQ

What is Height of Tetragonal Trapezohedron?

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

How to calculate Height of Tetragonal Trapezohedron?

The Height of Tetragonal Trapezohedron formula is defined as the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join is calculated using Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*Antiprism Edge Length of Tetragonal Trapezohedron. To calculate Height of Tetragonal Trapezohedron, you need Antiprism Edge Length of Tetragonal Trapezohedron (l_e(Antiprism)). With our tool, you need to enter the respective value for Antiprism Edge Length 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 Height of Tetragonal Trapezohedron?

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

Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1)))
Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))
Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2)))))

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