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Height of Tetragonal Trapezohedron given Total Surface Area Formula

GoHeight of Tetragonal Trapezohedron Formula

GoHeight of Tetragonal Trapezohedron given Short Edge Formula

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Height of Tetragonal Trapezohedron is the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join. Check FAQs

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\sqrt{\frac{TSA}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})

h - Height of Tetragonal Trapezohedron?TSA - Total Surface Area of Tetragonal Trapezohedron?

Height of Tetragonal Trapezohedron given Total Surface Area Example

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Here is how the Height of Tetragonal Trapezohedron given Total Surface Area equation looks like with Values.

Here is how the Height of Tetragonal Trapezohedron given Total Surface Area equation looks like with Units.

Here is how the Height of Tetragonal Trapezohedron given Total Surface Area equation looks like.

20.2382 = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\sqrt{\frac{550}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})

20.2382m = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\sqrt{\frac{550m²}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})

20.2382 = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\sqrt{\frac{550}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})

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Height of Tetragonal Trapezohedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Height of Tetragonal Trapezohedron given Total Surface Area?

FIRST Step Consider the formula

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\sqrt{\frac{TSA}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})

Next Step Substitute values of Variables

∴

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\sqrt{\frac{550m²}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})

Next Step Prepare to Evaluate

∴

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\sqrt{\frac{550}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})

Next Step Evaluate

∴

h = 20.2382025561109m

LAST Step Rounding Answer

∴

h = 20.2382m

Height of Tetragonal Trapezohedron given Total Surface Area Formula Elements

Variables

Functions

Height of Tetragonal Trapezohedron

Height of Tetragonal Trapezohedron is the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Tetragonal Trapezohedron

Total Surface Area of Tetragonal Trapezohedron

Total Surface Area of Tetragonal Trapezohedron is the total quantity of two-dimensional space enclosed on the entire surface of the Tetragonal Trapezohedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Tetragonal Trapezohedron

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.

Syntax: sqrt(Number)

Other Formulas to find Height of Tetragonal Trapezohedron

Go Height of Tetragonal Trapezohedron

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot l e(Antiprism)

Go Height of Tetragonal Trapezohedron given Short Edge

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\frac{l e(Short)}{\sqrt{\sqrt{2} - 1}})

Go Height of Tetragonal Trapezohedron given Long Edge

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\frac{2 \cdot l e(Long)}{\sqrt{2 \cdot (1 + \sqrt{2})}})

Go Height of Tetragonal Trapezohedron given Volume

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot ({(\frac{3 \cdot V}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

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

Height of Tetragonal Trapezohedron given Total Surface Area evaluator 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 evaluate 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 evaluate Height of Tetragonal Trapezohedron given Total Surface Area using this online evaluator? To use this online evaluator for Height of Tetragonal Trapezohedron given Total Surface Area, enter Total Surface Area of Tetragonal Trapezohedron (TSA) and hit the calculate button.

FAQs on Height of Tetragonal Trapezohedron given Total Surface Area

What is the formula to find Height of Tetragonal Trapezohedron given Total Surface Area?

The formula of Height of Tetragonal Trapezohedron given Total Surface Area is expressed as Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2))))). Here is an example- 20.2382 = sqrt((1/2)*(4+3*sqrt(2)))*(sqrt(550/(2*sqrt(2+4*sqrt(2))))).

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

With Total Surface Area of Tetragonal Trapezohedron (TSA) we can find Height of Tetragonal Trapezohedron given Total Surface Area using the formula - Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Tetragonal Trapezohedron?

Here are the different ways to Calculate Height of Tetragonal Trapezohedron-

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)))))

Can the Height of Tetragonal Trapezohedron given Total Surface Area be negative?

No, the Height of Tetragonal Trapezohedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Height of Tetragonal Trapezohedron given Total Surface Area?

Height of Tetragonal Trapezohedron given Total Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Tetragonal Trapezohedron given Total Surface Area can be measured.

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