FormulaDen.com

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

Total Surface Area of Dodecahedron given Face Perimeter Formula

GoTotal Surface Area of Dodecahedron Formula

GoTotal Surface Area of Dodecahedron given Volume Formula

Fx Copy

LaTeX Copy

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

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

TSA - Total Surface Area of Dodecahedron?P_Face - Face Perimeter of Dodecahedron?

Total Surface Area of Dodecahedron given Face Perimeter Example

With values

With units

Only example

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

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

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

2064.5729 = \frac{3}{25} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot 50^{2}

2064.5729m² = \frac{3}{25} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {50m}^{2}

2064.5729 = \frac{3}{25} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot 50^{2}

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 Total Surface Area of Dodecahedron given Face Perimeter

Total Surface Area of Dodecahedron given Face Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = \frac{3}{25} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {50m}^{2}

Next Step Prepare to Evaluate

∴

TSA = \frac{3}{25} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot 50^{2}

Next Step Evaluate

∴

TSA = 2064.57288070676m²

LAST Step Rounding Answer

∴

TSA = 2064.5729m²

Total Surface Area of Dodecahedron given Face Perimeter Formula Elements

Variables

Functions

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

Face Perimeter of Dodecahedron

Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face 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 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}}

Other formulas in Total Surface Area of Dodecahedron category

Go Face Area of Dodecahedron

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {l e}^{2}

Go Face Area of Dodecahedron given Midsphere Radius

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r m}{3 + \sqrt{5}})}^{2}

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 Total Surface Area

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

How to Evaluate Total Surface Area of Dodecahedron given Face Perimeter?

Total Surface Area of Dodecahedron given Face Perimeter evaluator uses Total Surface Area of Dodecahedron = 3/25*sqrt(25+(10*sqrt(5)))*Face Perimeter of Dodecahedron^2 to evaluate the Total Surface Area of Dodecahedron, The Total Surface Area of Dodecahedron given Face Perimeter formula is defined as the total quantity of plane enclosed by the entire surface of the Dodecahedron, and calculated using face perimeter of Dodecahedron. Total Surface Area of Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Dodecahedron given Face Perimeter

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

The formula of Total Surface Area of Dodecahedron given Face Perimeter is expressed as Total Surface Area of Dodecahedron = 3/25*sqrt(25+(10*sqrt(5)))*Face Perimeter of Dodecahedron^2. Here is an example- 2064.573 = 3/25*sqrt(25+(10*sqrt(5)))*50^2.

How to calculate Total Surface Area of Dodecahedron given Face Perimeter?

With Face Perimeter of Dodecahedron (P_Face) we can find Total Surface Area of Dodecahedron given Face Perimeter using the formula - Total Surface Area of Dodecahedron = 3/25*sqrt(25+(10*sqrt(5)))*Face Perimeter of Dodecahedron^2. This formula also uses Square Root (sqrt) function(s).

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)

Can the Total Surface Area of Dodecahedron given Face Perimeter be negative?

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

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

Total Surface Area of Dodecahedron given Face 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 Total Surface Area of Dodecahedron given Face Perimeter can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit