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Base Area of Pentagonal Prism Formula

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The Base Area of Pentagonal Prism is the total amount of two-dimensional space occupied by the base face of the Pentagonal Prism. Check FAQs

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

A_Base - Base Area of Pentagonal Prism?l_e(Base) - Base Edge Length of Pentagonal Prism?

Base Area of Pentagonal Prism Example

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

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

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

172.0477 = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot 10^{2}

172.0477m² = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot {10m}^{2}

172.0477 = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot 10^{2}

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Base Area of Pentagonal Prism Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Base = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

A Base = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot 10^{2}

Next Step Evaluate

∴

A Base = 172.047740058897m²

LAST Step Rounding Answer

∴

A Base = 172.0477m²

Base Area of Pentagonal Prism Formula Elements

Variables

Functions

Base Area of Pentagonal Prism

The Base Area of Pentagonal Prism is the total amount of two-dimensional space occupied by the base face of the Pentagonal Prism.

Symbol: A_Base

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Base 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

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 Lateral Surface Area of Pentagonal Prism

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

Go Total Surface Area of Pentagonal Prism

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

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 Base Area of Pentagonal Prism?

Base Area of Pentagonal Prism evaluator uses Base Area of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2 to evaluate the Base Area of Pentagonal Prism, The Base Area of Pentagonal Prism formula is defined as the total amount of two-dimensional space occupied by the base face of the Pentagonal Prism. Base Area of Pentagonal Prism is denoted by A_Base symbol.

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

FAQs on Base Area of Pentagonal Prism

What is the formula to find Base Area of Pentagonal Prism?

The formula of Base Area of Pentagonal Prism is expressed as Base Area of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2. Here is an example- 172.0477 = sqrt(5*(5+(2*sqrt(5))))/4*10^2.

How to calculate Base Area of Pentagonal Prism?

With Base Edge Length of Pentagonal Prism (l_e(Base)) we can find Base Area of Pentagonal Prism using the formula - Base Area of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2. This formula also uses Square Root (sqrt) function(s).

Can the Base Area of Pentagonal Prism be negative?

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

Which unit is used to measure Base Area of Pentagonal Prism?

Base 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 Base Area of Pentagonal Prism can be measured.

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