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Total Surface Area of Dodecahedron given Lateral Surface Area Formula

GoTotal Surface Area of Dodecahedron Formula

GoTotal Surface Area of Dodecahedron given Volume Formula

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Total Surface Area of Dodecahedron is the total quantity of plane enclosed by the entire surface of the Dodecahedron. Check FAQs

TSA = \frac{6}{5} \cdot LSA

TSA - Total Surface Area of Dodecahedron?LSA - Lateral Surface Area of Dodecahedron?

Total Surface Area of Dodecahedron given Lateral Surface Area Example

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

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

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

2100 = \frac{6}{5} \cdot 1750

2100m² = \frac{6}{5} \cdot 1750m²

2100 = \frac{6}{5} \cdot 1750

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Total Surface Area of Dodecahedron given Lateral Surface Area Solution

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

FIRST Step Consider the formula

TSA = \frac{6}{5} \cdot LSA

Next Step Substitute values of Variables

∴

TSA = \frac{6}{5} \cdot 1750m²

Next Step Prepare to Evaluate

∴

TSA = \frac{6}{5} \cdot 1750

LAST Step Evaluate

∴

TSA = 2100m²

Total Surface Area of Dodecahedron given Lateral Surface Area Formula Elements

Variables

Total Surface Area of Dodecahedron

Total Surface Area of Dodecahedron is the total quantity of plane enclosed by the entire surface of the Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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

Other Formulas to find Total Surface Area of Dodecahedron

Go Total Surface Area of Dodecahedron

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {l e}^{2}

Go Total Surface Area of Dodecahedron given Volume

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

Go Total Surface Area of Dodecahedron given Face Diagonal

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot d Face}{1 + \sqrt{5}})}^{2}

Go Total Surface Area of Dodecahedron given Circumsphere Radius

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})})}^{2}

How to Evaluate Total Surface Area of Dodecahedron given Lateral Surface Area?

Total Surface Area of Dodecahedron given Lateral Surface Area evaluator uses Total Surface Area of Dodecahedron = 6/5*Lateral Surface Area of Dodecahedron to evaluate the Total Surface Area of Dodecahedron, The Total Surface Area of Dodecahedron given Lateral Surface Area formula is defined as the total quantity of plane enclosed by the entire surface of the Dodecahedron, and calculated using lateral surface area of Dodecahedron. Total Surface Area of Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Dodecahedron given Lateral Surface Area

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

The formula of Total Surface Area of Dodecahedron given Lateral Surface Area is expressed as Total Surface Area of Dodecahedron = 6/5*Lateral Surface Area of Dodecahedron. Here is an example- 2100 = 6/5*1750.

How to calculate Total Surface Area of Dodecahedron given Lateral Surface Area?

With Lateral Surface Area of Dodecahedron (LSA) we can find Total Surface Area of Dodecahedron given Lateral Surface Area using the formula - Total Surface Area of Dodecahedron = 6/5*Lateral Surface Area of Dodecahedron.

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

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

Total Surface Area of Dodecahedron=3*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2
Total Surface Area of Dodecahedron=3*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3)
Total Surface Area of Dodecahedron=3*sqrt(25+(10*sqrt(5)))*((2*Face Diagonal of Dodecahedron)/(1+sqrt(5)))^2

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

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

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

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

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