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Total Surface Area of Pentagonal Prism Formula

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The Total Surface Area of Pentagonal Prism is the total amount of two-dimensional space occupied by all the faces of the Pentagonal Prism. Check FAQs

TSA = (5 \cdot l e(Base) \cdot h) + \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{2} \cdot {l e(Base)}^{2}

TSA - Total Surface Area of Pentagonal Prism?l_e(Base) - Base Edge Length of Pentagonal Prism?h - Height of Pentagonal Prism?

Total Surface Area of Pentagonal Prism Example

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Here is how the Total Surface Area of Pentagonal Prism equation looks like with Values.

Here is how the Total Surface Area of Pentagonal Prism equation looks like with Units.

Here is how the Total Surface Area of Pentagonal Prism equation looks like.

1094.0955 = (5 \cdot 10 \cdot 15) + \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{2} \cdot 10^{2}

1094.0955m² = (5 \cdot 10m \cdot 15m) + \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{2} \cdot {10m}^{2}

1094.0955 = (5 \cdot 10 \cdot 15) + \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{2} \cdot 10^{2}

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Total Surface Area of Pentagonal Prism Solution

Follow our step by step solution on how to calculate Total Surface Area of Pentagonal Prism?

FIRST Step Consider the formula

TSA = (5 \cdot l e(Base) \cdot h) + \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{2} \cdot {l e(Base)}^{2}

Next Step Substitute values of Variables

∴

TSA = (5 \cdot 10m \cdot 15m) + \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{2} \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

TSA = (5 \cdot 10 \cdot 15) + \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{2} \cdot 10^{2}

Next Step Evaluate

∴

TSA = 1094.09548011779m²

LAST Step Rounding Answer

∴

TSA = 1094.0955m²

Total Surface Area of Pentagonal Prism Formula Elements

Variables

Functions

Total Surface Area of Pentagonal Prism

The Total Surface Area of Pentagonal Prism is the total amount of two-dimensional space occupied by all the faces of the Pentagonal Prism.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal Prism

Base Edge Length of Pentagonal Prism

The Base Edge Length of Pentagonal Prism is the length of the straight line connecting any two adjacent vertices of the base of the Pentagonal Prism.

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Edge Length of Pentagonal Prism

Height of Pentagonal Prism

The Height of Pentagonal Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Pentagonal Prism.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Pentagonal Prism

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 in Pentagonal Prism category

Go Base Area of Pentagonal Prism

A Base = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot {l e(Base)}^{2}

Go Lateral Surface Area of Pentagonal Prism

LSA = 5 \cdot l e(Base) \cdot h

Go Volume of Pentagonal Prism

V = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot {l e(Base)}^{2} \cdot h

How to Evaluate Total Surface Area of Pentagonal Prism?

Total Surface Area of Pentagonal Prism evaluator uses Total Surface Area of Pentagonal Prism = (5*Base Edge Length of Pentagonal Prism*Height of Pentagonal Prism)+sqrt(5*(5+(2*sqrt(5))))/2*Base Edge Length of Pentagonal Prism^2 to evaluate the Total Surface Area of Pentagonal Prism, The Total Surface Area of Pentagonal Prism formula is defined as the total amount of two-dimensional space occupied by all the faces of the Pentagonal Prism. Total Surface Area of Pentagonal Prism is denoted by TSA symbol.

How to evaluate Total Surface Area of Pentagonal Prism using this online evaluator? To use this online evaluator for Total Surface Area of Pentagonal Prism, enter Base Edge Length of Pentagonal Prism (l_e(Base)) & Height of Pentagonal Prism (h) and hit the calculate button.

FAQs on Total Surface Area of Pentagonal Prism

What is the formula to find Total Surface Area of Pentagonal Prism?

The formula of Total Surface Area of Pentagonal Prism is expressed as Total Surface Area of Pentagonal Prism = (5*Base Edge Length of Pentagonal Prism*Height of Pentagonal Prism)+sqrt(5*(5+(2*sqrt(5))))/2*Base Edge Length of Pentagonal Prism^2. Here is an example- 1094.095 = (5*10*15)+sqrt(5*(5+(2*sqrt(5))))/2*10^2.

How to calculate Total Surface Area of Pentagonal Prism?

With Base Edge Length of Pentagonal Prism (l_e(Base)) & Height of Pentagonal Prism (h) we can find Total Surface Area of Pentagonal Prism using the formula - Total Surface Area of Pentagonal Prism = (5*Base Edge Length of Pentagonal Prism*Height of Pentagonal Prism)+sqrt(5*(5+(2*sqrt(5))))/2*Base Edge Length of Pentagonal Prism^2. This formula also uses Square Root (sqrt) function(s).

Can the Total Surface Area of Pentagonal Prism be negative?

No, the Total Surface Area of Pentagonal Prism, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Pentagonal Prism?

Total Surface Area of Pentagonal Prism 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 Pentagonal Prism can be measured.

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Total Surface Area of Pentagonal Prism Formula

Total Surface Area of Pentagonal Prism Example

Total Surface Area of Pentagonal Prism Solution

Total Surface Area of Pentagonal Prism Formula Elements

Other formulas in Pentagonal Prism category

How to Evaluate Total Surface Area of Pentagonal Prism?

FAQs on Total Surface Area of Pentagonal Prism

Variable Name