FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Long Edge of Hexakis Octahedron given Total Surface Area Formula

GoLong Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula

GoLong Edge of Hexakis Octahedron given Medium Edge Formula

Fx Copy

LaTeX Copy

Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron. Check FAQs

l e(Long) = \sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}}

l_e(Long) - Long Edge of Hexakis Octahedron?TSA - Total Surface Area of Hexakis Octahedron?

Long Edge of Hexakis Octahedron given Total Surface Area Example

With values

With units

Only example

Here is how the Long Edge of Hexakis Octahedron given Total Surface Area equation looks like with Values.

Here is how the Long Edge of Hexakis Octahedron given Total Surface Area equation looks like with Units.

Here is how the Long Edge of Hexakis Octahedron given Total Surface Area equation looks like.

19.9499 = \sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}}

19.9499m = \sqrt{\frac{7 \cdot 4800m²}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}}

19.9499 = \sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Long Edge of Hexakis Octahedron given Total Surface Area

Long Edge of Hexakis Octahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Long Edge of Hexakis Octahedron given Total Surface Area?

FIRST Step Consider the formula

l e(Long) = \sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}}

Next Step Substitute values of Variables

∴

l e(Long) = \sqrt{\frac{7 \cdot 4800m²}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}}

Next Step Prepare to Evaluate

∴

l e(Long) = \sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}}

Next Step Evaluate

∴

l e(Long) = 19.9499222749305m

LAST Step Rounding Answer

∴

l e(Long) = 19.9499m

Long Edge of Hexakis Octahedron given Total Surface Area Formula Elements

Variables

Functions

Long Edge of Hexakis Octahedron

Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Hexakis Octahedron

Total Surface Area of Hexakis Octahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Hexakis Octahedron

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 Long Edge of Hexakis Octahedron

Go Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge

l e(Long) = (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot l e(Truncated Cuboctahedron)

Go Long Edge of Hexakis Octahedron given Medium Edge

l e(Long) = (\frac{14}{3}) \cdot (\frac{l e(Medium)}{1 + (2 \cdot \sqrt{2})})

Go Long Edge of Hexakis Octahedron given Short Edge

l e(Long) = \frac{14 \cdot l e(Short)}{10 - \sqrt{2}}

Go Long Edge of Hexakis Octahedron given Volume

l e(Long) = ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

How to Evaluate Long Edge of Hexakis Octahedron given Total Surface Area?

Long Edge of Hexakis Octahedron given Total Surface Area evaluator uses Long Edge of Hexakis Octahedron = sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2))))) to evaluate the Long Edge of Hexakis Octahedron, Long Edge of Hexakis Octahedron given Total Surface Area formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using total surface area of Hexakis Octahedron. Long Edge of Hexakis Octahedron is denoted by l_e(Long) symbol.

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

FAQs on Long Edge of Hexakis Octahedron given Total Surface Area

What is the formula to find Long Edge of Hexakis Octahedron given Total Surface Area?

The formula of Long Edge of Hexakis Octahedron given Total Surface Area is expressed as Long Edge of Hexakis Octahedron = sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2))))). Here is an example- 19.94992 = sqrt((7*4800)/(3*sqrt(543+(176*sqrt(2))))).

How to calculate Long Edge of Hexakis Octahedron given Total Surface Area?

With Total Surface Area of Hexakis Octahedron (TSA) we can find Long Edge of Hexakis Octahedron given Total Surface Area using the formula - Long Edge of Hexakis Octahedron = sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Long Edge of Hexakis Octahedron?

Here are the different ways to Calculate Long Edge of Hexakis Octahedron-

Long Edge of Hexakis Octahedron=(2/7)*(sqrt(60+(6*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron
Long Edge of Hexakis Octahedron=(14/3)*(Medium Edge of Hexakis Octahedron/(1+(2*sqrt(2))))
Long Edge of Hexakis Octahedron=(14*Short Edge of Hexakis Octahedron)/(10-sqrt(2))

Can the Long Edge of Hexakis Octahedron given Total Surface Area be negative?

No, the Long Edge of Hexakis Octahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Long Edge of Hexakis Octahedron given Total Surface Area?

Long Edge of Hexakis Octahedron 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 Long Edge of Hexakis Octahedron given Total Surface Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit