Base Area of Pentagonal Prism Calculator

✖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.ⓘ Base Edge Length of Pentagonal Prism [l_e(Base)]

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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.ⓘ Base Area of Pentagonal Prism [A_Base]

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Formula

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Base Area of Pentagonal Prism

Formula

`"A"_{"Base"} = sqrt(5*(5+(2*sqrt(5))))/4*"l"_{"e(Base)"}^2`

Example

`"172.0477m²"=sqrt(5*(5+(2*sqrt(5))))/4*("10m")^2`

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Base Area of Pentagonal Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Area of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2
A_Base = sqrt(5*(5+(2*sqrt(5))))/4*l_e(Base)^2
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Base Area of Pentagonal Prism - (Measured in Square Meter) - The Base Area of Pentagonal Prism is the total amount of two-dimensional space occupied by the base face of the Pentagonal Prism.
Base Edge Length of Pentagonal Prism - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Base Edge Length of Pentagonal Prism: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Base = sqrt(5*(5+(2*sqrt(5))))/4*l_e(Base)^2 --> sqrt(5*(5+(2*sqrt(5))))/4*10^2

Evaluating ... ...

A_Base = 172.047740058897

STEP 3: Convert Result to Output's Unit

172.047740058897 Square Meter --> No Conversion Required

FINAL ANSWER

172.047740058897 ≈ 172.0477 Square Meter <-- Base Area of Pentagonal Prism

(Calculation completed in 00.004 seconds)

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< 4 Pentagonal Prism Calculators

Total Surface Area of Pentagonal Prism

Go 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

Volume of Pentagonal Prism

Go Volume of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2*Height of Pentagonal Prism

Base Area of Pentagonal Prism

Go Base Area of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2

Lateral Surface Area of Pentagonal Prism

Go Lateral Surface Area of Pentagonal Prism = 5*Base Edge Length of Pentagonal Prism*Height of Pentagonal Prism

Base Area of Pentagonal Prism Formula

Base Area of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2
A_Base = sqrt(5*(5+(2*sqrt(5))))/4*l_e(Base)^2

What is Pentagonal Prism?

In geometry, the Pentagonal Prism is a prism with pentagonal base. This polyhedron has 7 faces, 15 edges, and 10 vertices.

What is Prism?

In mathematics, a Prism is a polyhedron with two polygonal bases parallel to each other. In physics (optics), a prism is defined as the transparent optical element with flat polished surfaces that refract light. Lateral faces join the two polygonal bases. The lateral faces are mostly rectangular. In some cases, it may be a parallelogram.

How to Calculate Base Area of Pentagonal Prism?

Base Area of Pentagonal Prism calculator uses Base Area of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2 to calculate 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 calculate Base Area of Pentagonal Prism using this online calculator? To use this online calculator for Base Area of Pentagonal Prism, enter Base Edge Length of Pentagonal Prism (l_e(Base)) and hit the calculate button. Here is how the Base Area of Pentagonal Prism calculation can be explained with given input values -> 172.0477 = sqrt(5*(5+(2*sqrt(5))))/4*10^2.

FAQ

What is 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 and is represented as A_Base = sqrt(5*(5+(2*sqrt(5))))/4*l_e(Base)^2 or Base Area of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2. 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.

How to calculate 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 is calculated using Base Area of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2. To calculate Base Area of Pentagonal Prism, you need Base Edge Length of Pentagonal Prism (l_e(Base)). With our tool, you need to enter the respective value for Base Edge Length of Pentagonal Prism and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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