Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height Calculator

✖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 [h]

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✖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.ⓘ Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height [AV]

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Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Height of Elongated Pentagonal Pyramid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*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)*15/(sqrt((5-sqrt(5))/10)+1))

Evaluating ... ...

AV = 0.446985781341636

STEP 3: Convert Result to Output's Unit

0.446985781341636 1 per Meter --> No Conversion Required

FINAL ANSWER

0.446985781341636 ≈ 0.446986 1 per Meter <-- SA:V of Elongated Pentagonal Pyramid

(Calculation completed in 00.020 seconds)

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< Surface to Volume Ratio of Elongated Pentagonal Pyramid Calculators

Surface to Volume Ratio of Elongated Pentagonal Pyramid given Total Surface Area

LaTeX Go SA:V of Elongated Pentagonal Pyramid = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)))

Surface to Volume Ratio of Elongated Pentagonal Pyramid given Volume

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

Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height

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

Surface to Volume Ratio of Elongated Pentagonal Pyramid

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

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

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

How to calculate Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height, enter Height of Elongated Pentagonal Pyramid (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height calculation can be explained with given input values -> 0.446986 = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*15/(sqrt((5-sqrt(5))/10)+1)).

FAQ

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

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

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

The Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height formula is defined as the numerical ratio of the total surface area of the Elongated Pentagonal Pyramid to the volume of the Elongated Pentagonal Pyramid and is calculated using the height of the Elongated Pentagonal Pyramid is calculated using SA:V of Elongated Pentagonal Pyramid = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1)). To calculate Surface to Volume Ratio of Elongated Pentagonal Pyramid given Height, you need Height of Elongated Pentagonal Pyramid (h). With our tool, you need to enter the respective value for Height 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 SA:V of Elongated Pentagonal Pyramid?

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

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

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