Short Edge 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)]

+10%

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✖Short Edge of Tetragonal Trapezohedron is the length of any of the shorter edges of the Tetragonal Trapezohedron.ⓘ Short Edge of Tetragonal Trapezohedron [l_e(Short)]

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Formula

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Short Edge of Tetragonal Trapezohedron

Formula

`"l"_{"e(Short)"} = sqrt(sqrt(2)-1)*"l"_{"e(Antiprism)"}`

Example

`"6.435943m"=sqrt(sqrt(2)-1)*"10m"`

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Short Edge of Tetragonal Trapezohedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Edge of Tetragonal Trapezohedron = sqrt(sqrt(2)-1)*Antiprism Edge Length of Tetragonal Trapezohedron
l_e(Short) = sqrt(sqrt(2)-1)*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

Short Edge of Tetragonal Trapezohedron - (Measured in Meter) - Short Edge of Tetragonal Trapezohedron is the length of any of the shorter edges of the Tetragonal Trapezohedron.
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

l_e(Short) = sqrt(sqrt(2)-1)*l_e(Antiprism) --> sqrt(sqrt(2)-1)*10

Evaluating ... ...

l_e(Short) = 6.43594252905583

STEP 3: Convert Result to Output's Unit

6.43594252905583 Meter --> No Conversion Required

FINAL ANSWER

6.43594252905583 ≈ 6.435943 Meter <-- Short Edge of Tetragonal Trapezohedron

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 6 Short Edge of Tetragonal Trapezohedron Calculators

Short Edge of Tetragonal Trapezohedron given Surface to Volume Ratio

Go Short Edge of Tetragonal Trapezohedron = sqrt(sqrt(2)-1)*((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*SA:V of Tetragonal Trapezohedron))

Short Edge of Tetragonal Trapezohedron given Total Surface Area

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

Short Edge of Tetragonal Trapezohedron given Volume

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

Short Edge of Tetragonal Trapezohedron given Long Edge

Go Short Edge of Tetragonal Trapezohedron = sqrt(sqrt(2)-1)*((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))

Short Edge of Tetragonal Trapezohedron given Height

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

Short Edge of Tetragonal Trapezohedron

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

Short Edge of Tetragonal Trapezohedron Formula

Short Edge of Tetragonal Trapezohedron = sqrt(sqrt(2)-1)*Antiprism Edge Length of Tetragonal Trapezohedron
l_e(Short) = sqrt(sqrt(2)-1)*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 Short Edge of Tetragonal Trapezohedron?

Short Edge of Tetragonal Trapezohedron calculator uses Short Edge of Tetragonal Trapezohedron = sqrt(sqrt(2)-1)*Antiprism Edge Length of Tetragonal Trapezohedron to calculate the Short Edge of Tetragonal Trapezohedron, The Short Edge of Tetragonal Trapezohedron formula is defined as the length of any of the shorter edges of the Tetragonal Trapezohedron. Short Edge of Tetragonal Trapezohedron is denoted by l_e(Short) symbol.

How to calculate Short Edge of Tetragonal Trapezohedron using this online calculator? To use this online calculator for Short Edge of Tetragonal Trapezohedron, enter Antiprism Edge Length of Tetragonal Trapezohedron (l_e(Antiprism)) and hit the calculate button. Here is how the Short Edge of Tetragonal Trapezohedron calculation can be explained with given input values -> 6.435943 = sqrt(sqrt(2)-1)*10.

FAQ

What is Short Edge of Tetragonal Trapezohedron?

The Short Edge of Tetragonal Trapezohedron formula is defined as the length of any of the shorter edges of the Tetragonal Trapezohedron and is represented as l_e(Short) = sqrt(sqrt(2)-1)*l_e(Antiprism) or Short Edge of Tetragonal Trapezohedron = sqrt(sqrt(2)-1)*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 Short Edge of Tetragonal Trapezohedron?

The Short Edge of Tetragonal Trapezohedron formula is defined as the length of any of the shorter edges of the Tetragonal Trapezohedron is calculated using Short Edge of Tetragonal Trapezohedron = sqrt(sqrt(2)-1)*Antiprism Edge Length of Tetragonal Trapezohedron. To calculate Short Edge 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 Short Edge of Tetragonal Trapezohedron?

In this formula, Short Edge of Tetragonal Trapezohedron uses Antiprism Edge Length of Tetragonal Trapezohedron. We can use 5 other way(s) to calculate the same, which is/are as follows -

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

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