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Lateral Surface Area of Dodecahedron given Surface to Volume Ratio 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{12 \cdot \sqrt{(25 + (10 \cdot \sqrt{5}))}}{R A/V \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

LSA - Lateral Surface Area of Dodecahedron?R_A/V - Surface to Volume Ratio of Dodecahedron?

Lateral Surface Area of Dodecahedron given Surface to Volume Ratio Example

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

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

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

1387.5728 = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot \sqrt{(25 + (10 \cdot \sqrt{5}))}}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

1387.5728m² = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot \sqrt{(25 + (10 \cdot \sqrt{5}))}}{0.3m⁻¹ \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

1387.5728 = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot \sqrt{(25 + (10 \cdot \sqrt{5}))}}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

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Lateral Surface Area of Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot \sqrt{(25 + (10 \cdot \sqrt{5}))}}{R A/V \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

Next Step Substitute values of Variables

∴

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot \sqrt{(25 + (10 \cdot \sqrt{5}))}}{0.3m⁻¹ \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

Next Step Prepare to Evaluate

∴

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot \sqrt{(25 + (10 \cdot \sqrt{5}))}}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

Next Step Evaluate

∴

LSA = 1387.57275712888m²

LAST Step Rounding Answer

∴

LSA = 1387.5728m²

Lateral Surface Area of Dodecahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Dodecahedron

The Surface to Volume Ratio of Dodecahedron is the numerical ratio of the total surface area to the volume of the Dodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Volume

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

How to Evaluate Lateral Surface Area of Dodecahedron given Surface to Volume Ratio?

Lateral Surface Area of Dodecahedron given Surface to Volume Ratio evaluator uses Lateral Surface Area of Dodecahedron = 5/2*sqrt(25+(10*sqrt(5)))*((12*sqrt((25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))))^2 to evaluate the Lateral Surface Area of Dodecahedron, The Lateral Surface Area of Dodecahedron given Surface to Volume Ratio 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 surface to volume ratio of Dodecahedron. Lateral Surface Area of Dodecahedron is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Dodecahedron given Surface to Volume Ratio

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

The formula of Lateral Surface Area of Dodecahedron given Surface to Volume Ratio is expressed as Lateral Surface Area of Dodecahedron = 5/2*sqrt(25+(10*sqrt(5)))*((12*sqrt((25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))))^2. Here is an example- 1387.573 = 5/2*sqrt(25+(10*sqrt(5)))*((12*sqrt((25+(10*sqrt(5)))))/(0.3*(15+(7*sqrt(5)))))^2.

How to calculate Lateral Surface Area of Dodecahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Dodecahedron (R_A/V) we can find Lateral Surface Area of Dodecahedron given Surface to Volume Ratio using the formula - Lateral Surface Area of Dodecahedron = 5/2*sqrt(25+(10*sqrt(5)))*((12*sqrt((25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))))^2. 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 Surface to Volume Ratio be negative?

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

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

Lateral Surface Area of Dodecahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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