Surface to Volume Ratio of Elongated Pentagonal Pyramid given Volume Calculator

✖Volume of Elongated Pentagonal Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Pyramid.ⓘ Volume of Elongated Pentagonal Pyramid [V]

+10%

-10%

✖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 Volume [AV]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Surface to Volume Ratio of Elongated Pentagonal Pyramid given Volume 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)*(Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3))
AV = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(V/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3))
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.
Volume of Elongated Pentagonal Pyramid - (Measured in Cubic Meter) - Volume of Elongated Pentagonal Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Pyramid.

STEP 1: Convert Input(s) to Base Unit

Volume of Elongated Pentagonal Pyramid: 2000 Cubic Meter --> 2000 Cubic 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)*(V/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3)) --> ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(2000/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3))

Evaluating ... ...

AV = 0.441051464500008

STEP 3: Convert Result to Output's Unit

0.441051464500008 1 per Meter --> No Conversion Required

FINAL ANSWER

0.441051464500008 ≈ 0.441051 1 per Meter <-- SA:V of Elongated Pentagonal Pyramid

(Calculation completed in 00.007 seconds)

You are here -

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

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 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 Volume 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 Volume?

Surface to Volume Ratio of Elongated Pentagonal Pyramid given Volume 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)*(Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3)) to calculate the SA:V of Elongated Pentagonal Pyramid, The Surface to Volume Ratio of Elongated Pentagonal Pyramid given Volume 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 volume 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 Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Pentagonal Pyramid given Volume, enter Volume of Elongated Pentagonal Pyramid (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Pentagonal Pyramid given Volume calculation can be explained with given input values -> 0.441051 = ((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(2000/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3)).

FAQ

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

The Surface to Volume Ratio of Elongated Pentagonal Pyramid given Volume 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 volume 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)*(V/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3)) 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)*(Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3)). Volume of Elongated Pentagonal Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Pyramid.

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

The Surface to Volume Ratio of Elongated Pentagonal Pyramid given Volume 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 volume 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)*(Volume of Elongated Pentagonal Pyramid/((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4))^(1/3)). To calculate Surface to Volume Ratio of Elongated Pentagonal Pyramid given Volume, you need Volume of Elongated Pentagonal Pyramid (V). With our tool, you need to enter the respective value for Volume 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 Volume 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)*Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))
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)))

Home

FREE PDFs

🔍 Search