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Short Edge of Pentagonal Hexecontahedron given Total Surface Area Formula

GoShort Edge of Pentagonal Hexecontahedron given Long Edge Formula

GoShort Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge Formula

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Short Edge of Pentagonal Hexecontahedron is the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron. Check FAQs

l e(Short) = \sqrt{\frac{TSA \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}}

l_e(Short) - Short Edge of Pentagonal Hexecontahedron?TSA - Total Surface Area of Pentagonal Hexecontahedron?

Short Edge of Pentagonal Hexecontahedron given Total Surface Area Example

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Here is how the Short Edge of Pentagonal Hexecontahedron given Total Surface Area equation looks like with Values.

Here is how the Short Edge of Pentagonal Hexecontahedron given Total Surface Area equation looks like with Units.

Here is how the Short Edge of Pentagonal Hexecontahedron given Total Surface Area equation looks like.

3.9976 = \sqrt{\frac{2600 \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}}

3.9976m = \sqrt{\frac{2600m² \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}}

3.9976 = \sqrt{\frac{2600 \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}}

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Short Edge of Pentagonal Hexecontahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Short Edge of Pentagonal Hexecontahedron given Total Surface Area?

FIRST Step Consider the formula

l e(Short) = \sqrt{\frac{TSA \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}}

Next Step Substitute values of Variables

∴

l e(Short) = \sqrt{\frac{2600m² \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}}

Next Step Prepare to Evaluate

∴

l e(Short) = \sqrt{\frac{2600 \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}}

Next Step Evaluate

∴

l e(Short) = 3.99755367354617m

LAST Step Rounding Answer

∴

l e(Short) = 3.9976m

Short Edge of Pentagonal Hexecontahedron given Total Surface Area Formula Elements

Variables

Functions

Short Edge of Pentagonal Hexecontahedron

Short Edge of Pentagonal Hexecontahedron is the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Pentagonal Hexecontahedron

Total Surface Area of Pentagonal Hexecontahedron

Total Surface Area of Pentagonal Hexecontahedron is the amount or quantity of two dimensional space covered on the surface of Pentagonal Hexecontahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal Hexecontahedron

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 Short Edge of Pentagonal Hexecontahedron

Go Short Edge of Pentagonal Hexecontahedron given Long Edge

l e(Short) = \frac{31 \cdot l e(Long)}{((7 \cdot [phi] + 2) + (5 \cdot [phi] - 3) + 2 \cdot (8 - 3 \cdot [phi])) \cdot \sqrt{2 + 2 \cdot (0.4715756)}}

Go Short Edge of Pentagonal Hexecontahedron given Snub Dodecahedron Edge

l e(Short) = \frac{l e(Snub Dodecahedron)}{\sqrt{2 + 2 \cdot (0.4715756)}}

Go Short Edge of Pentagonal Hexecontahedron given Volume

l e(Short) = {(\frac{V \cdot (1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}{5 \cdot (1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)})}^{\frac{1}{3}}

Go Short Edge of Pentagonal Hexecontahedron given Midsphere Radius

l e(Short) = \frac{r m}{\sqrt{\frac{1 + 0.4715756}{2 \cdot (1 - 2 \cdot 0.4715756)}}}

How to Evaluate Short Edge of Pentagonal Hexecontahedron given Total Surface Area?

Short Edge of Pentagonal Hexecontahedron given Total Surface Area evaluator uses Short Edge of Pentagonal Hexecontahedron = sqrt((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2))) to evaluate the Short Edge of Pentagonal Hexecontahedron, Short Edge of Pentagonal Hexecontahedron given Total Surface Area formula is defined as the length of shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron, calculated using total surface area of of Pentagonal Hexecontahedron. Short Edge of Pentagonal Hexecontahedron is denoted by l_e(Short) symbol.

How to evaluate Short Edge of Pentagonal Hexecontahedron given Total Surface Area using this online evaluator? To use this online evaluator for Short Edge of Pentagonal Hexecontahedron given Total Surface Area, enter Total Surface Area of Pentagonal Hexecontahedron (TSA) and hit the calculate button.

FAQs on Short Edge of Pentagonal Hexecontahedron given Total Surface Area

What is the formula to find Short Edge of Pentagonal Hexecontahedron given Total Surface Area?

The formula of Short Edge of Pentagonal Hexecontahedron given Total Surface Area is expressed as Short Edge of Pentagonal Hexecontahedron = sqrt((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2))). Here is an example- 3.997554 = sqrt((2600*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2))).

How to calculate Short Edge of Pentagonal Hexecontahedron given Total Surface Area?

With Total Surface Area of Pentagonal Hexecontahedron (TSA) we can find Short Edge of Pentagonal Hexecontahedron given Total Surface Area using the formula - Short Edge of Pentagonal Hexecontahedron = sqrt((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Short Edge of Pentagonal Hexecontahedron?

Here are the different ways to Calculate Short Edge of Pentagonal Hexecontahedron-

Short Edge of Pentagonal Hexecontahedron=(31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756)))
Short Edge of Pentagonal Hexecontahedron=Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756))
Short Edge of Pentagonal Hexecontahedron=((Volume of Pentagonal Hexecontahedron*(1-2*0.4715756^2)*sqrt(1-2*0.4715756))/(5*(1+0.4715756)*(2+3*0.4715756)))^(1/3)

Can the Short Edge of Pentagonal Hexecontahedron given Total Surface Area be negative?

No, the Short Edge of Pentagonal Hexecontahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Short Edge of Pentagonal Hexecontahedron given Total Surface Area?

Short Edge of Pentagonal Hexecontahedron 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 Short Edge of Pentagonal Hexecontahedron given Total Surface Area can be measured.

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