Height of Tetragonal Trapezohedron given Total Surface Area Calculator

✖Total Surface Area of Tetragonal Trapezohedron is the total quantity of two-dimensional space enclosed on the entire surface of the Tetragonal Trapezohedron.ⓘ Total Surface Area of Tetragonal Trapezohedron [TSA]

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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 given Total Surface Area [h]

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Height of Tetragonal Trapezohedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Total Surface Area of Tetragonal Trapezohedron - (Measured in Square Meter) - Total Surface Area of Tetragonal Trapezohedron is the total quantity of two-dimensional space enclosed on the entire surface of the Tetragonal Trapezohedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Tetragonal Trapezohedron: 550 Square Meter --> 550 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt((1/2)*(4+3*sqrt(2)))*(sqrt(TSA/(2*sqrt(2+4*sqrt(2))))) --> sqrt((1/2)*(4+3*sqrt(2)))*(sqrt(550/(2*sqrt(2+4*sqrt(2)))))

Evaluating ... ...

h = 20.2382025561109

STEP 3: Convert Result to Output's Unit

20.2382025561109 Meter --> No Conversion Required

FINAL ANSWER

20.2382025561109 ≈ 20.2382 Meter <-- Height of Tetragonal Trapezohedron

(Calculation completed in 00.013 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 given Total Surface Area Formula

LaTeX Go

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 given Total Surface Area?

Height of Tetragonal Trapezohedron given Total Surface Area calculator uses Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2))))) to calculate the Height of Tetragonal Trapezohedron, The Height of Tetragonal Trapezohedron given Total Surface Area formula is defined as the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join, calculated using its total surface area. Height of Tetragonal Trapezohedron is denoted by h symbol.

How to calculate Height of Tetragonal Trapezohedron given Total Surface Area using this online calculator? To use this online calculator for Height of Tetragonal Trapezohedron given Total Surface Area, enter Total Surface Area of Tetragonal Trapezohedron (TSA) and hit the calculate button. Here is how the Height of Tetragonal Trapezohedron given Total Surface Area calculation can be explained with given input values -> 20.2382 = sqrt((1/2)*(4+3*sqrt(2)))*(sqrt(550/(2*sqrt(2+4*sqrt(2))))).

FAQ

What is Height of Tetragonal Trapezohedron given Total Surface Area?

The Height of Tetragonal Trapezohedron given Total Surface Area formula is defined as the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join, calculated using its total surface area and is represented as h = sqrt((1/2)*(4+3*sqrt(2)))*(sqrt(TSA/(2*sqrt(2+4*sqrt(2))))) or Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2))))). Total Surface Area of Tetragonal Trapezohedron is the total quantity of two-dimensional space enclosed on the entire surface of the Tetragonal Trapezohedron.

How to calculate Height of Tetragonal Trapezohedron given Total Surface Area?

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

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