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Lateral Surface Area of Dodecahedron given Perimeter 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{P}{30})}^{2}

LSA - Lateral Surface Area of Dodecahedron?P - Perimeter of Dodecahedron?

Lateral Surface Area of Dodecahedron given Perimeter Example

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

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

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

1720.4774 = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300}{30})}^{2}

1720.4774m² = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300m}{30})}^{2}

1720.4774 = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300}{30})}^{2}

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Lateral Surface Area of Dodecahedron given Perimeter Solution

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

FIRST Step Consider the formula

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{P}{30})}^{2}

Next Step Substitute values of Variables

∴

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300m}{30})}^{2}

Next Step Prepare to Evaluate

∴

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300}{30})}^{2}

Next Step Evaluate

∴

LSA = 1720.47740058897m²

LAST Step Rounding Answer

∴

LSA = 1720.4774m²

Lateral Surface Area of Dodecahedron given Perimeter 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

Perimeter of Dodecahedron

Perimeter of Dodecahedron is the sum of the total distance around all the edges of the Dodecahedron.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Perimeter?

Lateral Surface Area of Dodecahedron given Perimeter evaluator uses Lateral Surface Area of Dodecahedron = 5/2*sqrt(25+(10*sqrt(5)))*(Perimeter of Dodecahedron/30)^2 to evaluate the Lateral Surface Area of Dodecahedron, The Lateral Surface Area of Dodecahedron given Perimeter 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 the perimeter of the Dodecahedron. Lateral Surface Area of Dodecahedron is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Dodecahedron given Perimeter

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

The formula of Lateral Surface Area of Dodecahedron given Perimeter is expressed as Lateral Surface Area of Dodecahedron = 5/2*sqrt(25+(10*sqrt(5)))*(Perimeter of Dodecahedron/30)^2. Here is an example- 1720.477 = 5/2*sqrt(25+(10*sqrt(5)))*(300/30)^2.

How to calculate Lateral Surface Area of Dodecahedron given Perimeter?

With Perimeter of Dodecahedron (P) we can find Lateral Surface Area of Dodecahedron given Perimeter using the formula - Lateral Surface Area of Dodecahedron = 5/2*sqrt(25+(10*sqrt(5)))*(Perimeter of Dodecahedron/30)^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 Perimeter be negative?

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

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

Lateral Surface Area of Dodecahedron given Perimeter 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 Perimeter can be measured.

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