Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height Calculator

✖Height of Elongated Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Bipyramid.ⓘ Height of Elongated Pentagonal Bipyramid [h]

+10%

-10%

✖SA:V of Elongated Pentagonal Bipyramid is the numerical ratio of the total surface area of the Elongated Pentagonal Bipyramid to the volume of the Elongated Pentagonal Bipyramid.ⓘ Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height [AV]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Height of Elongated Pentagonal Bipyramid/((2*sqrt((5-sqrt(5))/10))+1))
AV = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*h/((2*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 Bipyramid - (Measured in 1 per Meter) - SA:V of Elongated Pentagonal Bipyramid is the numerical ratio of the total surface area of the Elongated Pentagonal Bipyramid to the volume of the Elongated Pentagonal Bipyramid.
Height of Elongated Pentagonal Bipyramid - (Measured in Meter) - Height of Elongated Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Bipyramid.

STEP 1: Convert Input(s) to Base Unit

Height of Elongated Pentagonal Bipyramid: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*h/((2*sqrt((5-sqrt(5))/10))+1)) --> ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*20/((2*sqrt((5-sqrt(5))/10))+1))

Evaluating ... ...

AV = 0.411890308387684

STEP 3: Convert Result to Output's Unit

0.411890308387684 1 per Meter --> No Conversion Required

FINAL ANSWER

0.411890308387684 ≈ 0.41189 1 per Meter <-- SA:V of Elongated Pentagonal Bipyramid

(Calculation completed in 00.007 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Elongated Bipyramid » Elongated Pentagonal Bipyramid » Surface to Volume Ratio of Elongated Pentagonal Bipyramid » Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Surface to Volume Ratio of Elongated Pentagonal Bipyramid Calculators

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume

LaTeX Go SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3))

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height

LaTeX Go SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Height of Elongated Pentagonal Bipyramid/((2*sqrt((5-sqrt(5))/10))+1))

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

LaTeX Go SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*sqrt(TSA of Elongated Pentagonal Bipyramid/(((5*sqrt(3))/2)+5)))

Surface to Volume Ratio of Elongated Pentagonal Bipyramid

LaTeX Go SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Edge Length of Elongated Pentagonal Bipyramid)

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height Formula

LaTeX Go

What is an Elongated Pentagonal Bipyramid?

The Elongated Pentagonal Bipyramid is a regular elongated pentagonal pyramid with another regular pyramid attached on the other side, which is the Johnson solid generally denoted by J16. It consists of 15 faces which include 10 equilateral triangles as pyramid faces, and 5 squares as side surfaces. Also, It has 25 edges and 12 vertices.

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

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height calculator uses SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Height of Elongated Pentagonal Bipyramid/((2*sqrt((5-sqrt(5))/10))+1)) to calculate the SA:V of Elongated Pentagonal Bipyramid, The Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height formula is defined as the numerical ratio of the total surface area of the Elongated Pentagonal Bipyramid to the volume of the Elongated Pentagonal Bipyramid and is calculated using the height of the Elongated Pentagonal Bipyramid. SA:V of Elongated Pentagonal Bipyramid is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height, enter Height of Elongated Pentagonal Bipyramid (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height calculation can be explained with given input values -> 0.41189 = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*20/((2*sqrt((5-sqrt(5))/10))+1)).

FAQ

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

The Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height formula is defined as the numerical ratio of the total surface area of the Elongated Pentagonal Bipyramid to the volume of the Elongated Pentagonal Bipyramid and is calculated using the height of the Elongated Pentagonal Bipyramid and is represented as AV = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*h/((2*sqrt((5-sqrt(5))/10))+1)) or SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Height of Elongated Pentagonal Bipyramid/((2*sqrt((5-sqrt(5))/10))+1)). Height of Elongated Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Bipyramid.

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

The Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height formula is defined as the numerical ratio of the total surface area of the Elongated Pentagonal Bipyramid to the volume of the Elongated Pentagonal Bipyramid and is calculated using the height of the Elongated Pentagonal Bipyramid is calculated using SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Height of Elongated Pentagonal Bipyramid/((2*sqrt((5-sqrt(5))/10))+1)). To calculate Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height, you need Height of Elongated Pentagonal Bipyramid (h). With our tool, you need to enter the respective value for Height of Elongated Pentagonal Bipyramid 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 Bipyramid?

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

SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Edge Length of Elongated Pentagonal Bipyramid)
SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*sqrt(TSA of Elongated Pentagonal Bipyramid/(((5*sqrt(3))/2)+5)))
SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3))

Home

FREE PDFs

🔍 Search