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Height of Elongated Dodecahedron given Total Surface Area Formula

GoHeight of Elongated Dodecahedron Formula

GoHeight of Elongated Dodecahedron given Width Formula

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Height of Elongated Dodecahedron is the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron. Check FAQs

h = \sqrt{3} \cdot \sqrt{\frac{TSA}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

h - Height of Elongated Dodecahedron?TSA - Total Surface Area of Elongated Dodecahedron?

Height of Elongated Dodecahedron given Total Surface Area Example

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

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

Here is how the Height of Elongated Dodecahedron given Total Surface Area equation looks like.

17.2544 = \sqrt{3} \cdot \sqrt{\frac{1800}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

17.2544m = \sqrt{3} \cdot \sqrt{\frac{1800m²}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

17.2544 = \sqrt{3} \cdot \sqrt{\frac{1800}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

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Height of Elongated Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

h = \sqrt{3} \cdot \sqrt{\frac{TSA}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

Next Step Substitute values of Variables

∴

h = \sqrt{3} \cdot \sqrt{\frac{1800m²}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

Next Step Prepare to Evaluate

∴

h = \sqrt{3} \cdot \sqrt{\frac{1800}{2 \cdot \sqrt{3} \cdot (3 + \sqrt{5})}}

Next Step Evaluate

∴

h = 17.2543629906271m

LAST Step Rounding Answer

∴

h = 17.2544m

Height of Elongated Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

Height of Elongated Dodecahedron

Height of Elongated Dodecahedron is the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Elongated Dodecahedron

Total Surface Area of Elongated Dodecahedron

Total Surface Area of Elongated Dodecahedron is the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Elongated Dodecahedron

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 Elongated Dodecahedron

Go Height of Elongated Dodecahedron

h = \sqrt{3} \cdot l e

Go Height of Elongated Dodecahedron given Width

h = \frac{w}{\sqrt{3}}

Go Height of Elongated Dodecahedron given Volume

h = \sqrt{3} \cdot {(\frac{V}{6})}^{\frac{1}{3}}

Go Height of Elongated Dodecahedron given Surface to Volume Ratio

h = \frac{3 + \sqrt{5}}{R A/V}

How to Evaluate Height of Elongated Dodecahedron given Total Surface Area?

Height of Elongated Dodecahedron given Total Surface Area evaluator uses Height of Elongated Dodecahedron = sqrt(3)*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))) to evaluate the Height of Elongated Dodecahedron, Height of Elongated Dodecahedron given Total Surface Area formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron, calculated using total surface area. Height of Elongated Dodecahedron is denoted by h symbol.

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

FAQs on Height of Elongated Dodecahedron given Total Surface Area

What is the formula to find Height of Elongated Dodecahedron given Total Surface Area?

The formula of Height of Elongated Dodecahedron given Total Surface Area is expressed as Height of Elongated Dodecahedron = sqrt(3)*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))). Here is an example- 17.25436 = sqrt(3)*sqrt(1800/(2*sqrt(3)*(3+sqrt(5)))).

How to calculate Height of Elongated Dodecahedron given Total Surface Area?

With Total Surface Area of Elongated Dodecahedron (TSA) we can find Height of Elongated Dodecahedron given Total Surface Area using the formula - Height of Elongated Dodecahedron = sqrt(3)*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Elongated Dodecahedron?

Here are the different ways to Calculate Height of Elongated Dodecahedron-

Height of Elongated Dodecahedron=sqrt(3)*Edge Length of Elongated Dodecahedron
Height of Elongated Dodecahedron=Width of Elongated Dodecahedron/sqrt(3)
Height of Elongated Dodecahedron=sqrt(3)*(Volume of Elongated Dodecahedron/6)^(1/3)

Can the Height of Elongated Dodecahedron given Total Surface Area be negative?

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

Which unit is used to measure Height of Elongated Dodecahedron given Total Surface Area?

Height of Elongated Dodecahedron 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 Elongated Dodecahedron given Total Surface Area can be measured.

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