Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio Calculator

✖SA:V of Elongated Pentagonal Pyramid is the numerical ratio of the total surface area of the Elongated Pentagonal Pyramid to the volume of the Elongated Pentagonal Pyramid.ⓘ SA:V of Elongated Pentagonal Pyramid [AV]

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✖Height of Elongated Pentagonal Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Pyramid.ⓘ Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio [h]

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Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid)
h = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*AV)
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

Height of Elongated Pentagonal Pyramid - (Measured in Meter) - Height of Elongated Pentagonal Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Pyramid.
SA:V of Elongated Pentagonal Pyramid - (Measured in 1 per Meter) - SA:V of Elongated Pentagonal Pyramid is the numerical ratio of the total surface area of the Elongated Pentagonal Pyramid to the volume of the Elongated Pentagonal Pyramid.

STEP 1: Convert Input(s) to Base Unit

SA:V of Elongated Pentagonal Pyramid: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*AV) --> (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*0.4)

Evaluating ... ...

h = 16.7619668003113

STEP 3: Convert Result to Output's Unit

16.7619668003113 Meter --> No Conversion Required

FINAL ANSWER

16.7619668003113 ≈ 16.76197 Meter <-- Height of Elongated Pentagonal Pyramid

(Calculation completed in 00.020 seconds)

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< Height of Elongated Pentagonal Pyramid Calculators

Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio

LaTeX Go Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid)

Height of Elongated Pentagonal Pyramid given Total Surface Area

LaTeX Go Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5))

Height of Elongated Pentagonal Pyramid given Volume

LaTeX Go Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*(Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3)

Height of Elongated Pentagonal Pyramid

LaTeX Go Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*Edge Length of Elongated Pentagonal Pyramid

Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio Formula

LaTeX Go

What is an Elongated Pentagonal Pyramid?

The Elongated Pentagonal Pyramid is a regular hexahedron with a matching pentagonal prism attached to one face, which is the Johnson solid generally denoted by J9. It consists of 11 faces which include 5 equilateral triangles as pyramid faces, 5 squares as side surfaces, and a regular pentagon as the base surface. Also, It has 20 edges and 11 vertices.

How to Calculate Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio?

Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio calculator uses Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid) to calculate the Height of Elongated Pentagonal Pyramid, The Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Pyramid and is calculated using the surface to volume ratio of the Elongated Pentagonal Pyramid. Height of Elongated Pentagonal Pyramid is denoted by h symbol.

How to calculate Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio, enter SA:V of Elongated Pentagonal Pyramid (AV) and hit the calculate button. Here is how the Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio calculation can be explained with given input values -> 16.76197 = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*0.4).

FAQ

What is Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio?

The Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Pyramid and is calculated using the surface to volume ratio of the Elongated Pentagonal Pyramid and is represented as h = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*AV) or Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid). SA:V of Elongated Pentagonal Pyramid is the numerical ratio of the total surface area of the Elongated Pentagonal Pyramid to the volume of the Elongated Pentagonal Pyramid.

How to calculate Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio?

The Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Pyramid and is calculated using the surface to volume ratio of the Elongated Pentagonal Pyramid is calculated using Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid). To calculate Height of Elongated Pentagonal Pyramid given Surface to Volume Ratio, you need SA:V of Elongated Pentagonal Pyramid (AV). With our tool, you need to enter the respective value for SA:V of Elongated Pentagonal Pyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Elongated Pentagonal Pyramid?

In this formula, Height of Elongated Pentagonal Pyramid uses SA:V of Elongated Pentagonal Pyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*Edge Length of Elongated Pentagonal Pyramid
Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5))
Height of Elongated Pentagonal Pyramid = (sqrt((5-sqrt(5))/10)+1)*(Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3)

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