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Lateral Surface Area of Dodecahedron given Volume Formula

GoLateral Surface Area of Dodecahedron Formula

GoLateral Surface Area of Dodecahedron given Face Area Formula

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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. Check FAQs

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

LSA - Lateral Surface Area of Dodecahedron?V - Volume of Dodecahedron?

Lateral Surface Area of Dodecahedron given Volume Example

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

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

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

1725.9932 = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

1725.9932m² = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700m³}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

1725.9932 = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

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Lateral Surface Area of Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Substitute values of Variables

∴

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700m³}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Evaluate

∴

LSA = 1725.99318825652m²

LAST Step Rounding Answer

∴

LSA = 1725.9932m²

Lateral Surface Area of Dodecahedron given Volume Formula Elements

Variables

Functions

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

Volume of Dodecahedron

Volume of Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Lateral Surface Area of Dodecahedron

Go Lateral Surface Area of Dodecahedron

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

Go Lateral Surface Area of Dodecahedron given Face Area

LSA = 10 \cdot A Face

Go Lateral Surface Area of Dodecahedron given Face Perimeter

LSA = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot \frac{{P Face}^{2}}{10}

Go Lateral Surface Area of Dodecahedron given Face Diagonal

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot d Face}{1 + \sqrt{5}})}^{2}

How to Evaluate Lateral Surface Area of Dodecahedron given Volume?

Lateral Surface Area of Dodecahedron given Volume evaluator uses Lateral Surface Area of Dodecahedron = 5/2*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3) to evaluate the Lateral Surface Area of Dodecahedron, The Lateral Surface Area of Dodecahedron given Volume formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Dodecahedron, and calculated using volume of Dodecahedron. Lateral Surface Area of Dodecahedron is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Dodecahedron given Volume

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

The formula of Lateral Surface Area of Dodecahedron given Volume is expressed as Lateral Surface Area of Dodecahedron = 5/2*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3). Here is an example- 1725.993 = 5/2*sqrt(25+(10*sqrt(5)))*((4*7700)/(15+(7*sqrt(5))))^(2/3).

How to calculate Lateral Surface Area of Dodecahedron given Volume?

With Volume of Dodecahedron (V) we can find Lateral Surface Area of Dodecahedron given Volume using the formula - Lateral Surface Area of Dodecahedron = 5/2*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Lateral Surface Area of Dodecahedron?

Here are the different ways to Calculate Lateral Surface Area of Dodecahedron-

Lateral Surface Area of Dodecahedron=5/2*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2
Lateral Surface Area of Dodecahedron=10*Face Area of Dodecahedron
Lateral Surface Area of Dodecahedron=sqrt(25+(10*sqrt(5)))*Face Perimeter of Dodecahedron^2/10

Can the Lateral Surface Area of Dodecahedron given Volume be negative?

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

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

Lateral Surface Area of Dodecahedron given Volume is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Lateral Surface Area of Dodecahedron given Volume can be measured.

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