FormulaDen.com

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

Edge Length of Dodecahedron given Lateral Surface Area Formula

GoEdge Length of Dodecahedron given Circumsphere Radius Formula

GoEdge Length of Dodecahedron given Total Surface Area Formula

Fx Copy

LaTeX Copy

Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron. Check FAQs

l e = \sqrt{\frac{2 \cdot LSA}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

l_e - Edge Length of Dodecahedron?LSA - Lateral Surface Area of Dodecahedron?

Edge Length of Dodecahedron given Lateral Surface Area Example

With values

With units

Only example

Here is how the Edge Length of Dodecahedron given Lateral Surface Area equation looks like with Values.

Here is how the Edge Length of Dodecahedron given Lateral Surface Area equation looks like with Units.

Here is how the Edge Length of Dodecahedron given Lateral Surface Area equation looks like.

10.0854 = \sqrt{\frac{2 \cdot 1750}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

10.0854m = \sqrt{\frac{2 \cdot 1750m²}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

10.0854 = \sqrt{\frac{2 \cdot 1750}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

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 Edge Length of Dodecahedron given Lateral Surface Area

Edge Length of Dodecahedron given Lateral Surface Area Solution

Follow our step by step solution on how to calculate Edge Length of Dodecahedron given Lateral Surface Area?

FIRST Step Consider the formula

l e = \sqrt{\frac{2 \cdot LSA}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{2 \cdot 1750m²}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{2 \cdot 1750}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

l e = 10.0854327582286m

LAST Step Rounding Answer

∴

l e = 10.0854m

Edge Length of Dodecahedron given Lateral Surface Area Formula Elements

Variables

Functions

Edge Length of Dodecahedron

Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Dodecahedron

Lateral Surface Area of Dodecahedron

Lateral Surface Area of Dodecahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Dodecahedron.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of 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 Edge Length of Dodecahedron

Go Edge Length of Dodecahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})}

Go Edge Length of Dodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Edge Length of Dodecahedron given Volume

l e = {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Edge Length of Dodecahedron given Face Area

l e = \sqrt{\frac{4 \cdot A Face}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Edge Length of Dodecahedron given Lateral Surface Area?

Edge Length of Dodecahedron given Lateral Surface Area evaluator uses Edge Length of Dodecahedron = sqrt((2*Lateral Surface Area of Dodecahedron)/(5*sqrt(25+(10*sqrt(5))))) to evaluate the Edge Length of Dodecahedron, The Edge Length of Dodecahedron given Lateral Surface Area formula is defined as the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron, and calculated using lateral surface area of Dodecahedron. Edge Length of Dodecahedron is denoted by l_e symbol.

How to evaluate Edge Length of Dodecahedron given Lateral Surface Area using this online evaluator? To use this online evaluator for Edge Length of Dodecahedron given Lateral Surface Area, enter Lateral Surface Area of Dodecahedron (LSA) and hit the calculate button.

FAQs on Edge Length of Dodecahedron given Lateral Surface Area

What is the formula to find Edge Length of Dodecahedron given Lateral Surface Area?

The formula of Edge Length of Dodecahedron given Lateral Surface Area is expressed as Edge Length of Dodecahedron = sqrt((2*Lateral Surface Area of Dodecahedron)/(5*sqrt(25+(10*sqrt(5))))). Here is an example- 10.08543 = sqrt((2*1750)/(5*sqrt(25+(10*sqrt(5))))).

How to calculate Edge Length of Dodecahedron given Lateral Surface Area?

With Lateral Surface Area of Dodecahedron (LSA) we can find Edge Length of Dodecahedron given Lateral Surface Area using the formula - Edge Length of Dodecahedron = sqrt((2*Lateral Surface Area of Dodecahedron)/(5*sqrt(25+(10*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Dodecahedron?

Here are the different ways to Calculate Edge Length of Dodecahedron-

Edge Length of Dodecahedron=(4*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))
Edge Length of Dodecahedron=sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))
Edge Length of Dodecahedron=((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3)

Can the Edge Length of Dodecahedron given Lateral Surface Area be negative?

No, the Edge Length of Dodecahedron given Lateral Surface Area, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Dodecahedron given Lateral Surface Area?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit