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

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))
RA/V = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*TSA)/(5*sqrt(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
Surface to Volume Ratio of Pentagonal Bipyramid - (Measured in 1 per Meter) - Surface to Volume Ratio of Pentagonal Bipyramid is the numerical ratio of the total surface area of a Pentagonal Bipyramid to the volume of the Pentagonal Bipyramid.
Total Surface Area of Pentagonal Bipyramid - (Measured in Square Meter) - Total Surface Area of Pentagonal Bipyramid is the total amount of two dimensional space occupied by all the faces of the Pentagonal Bipyramid.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Pentagonal Bipyramid: 430 Square Meter --> 430 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*TSA)/(5*sqrt(3)))) --> ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*430)/(5*sqrt(3))))
Evaluating ... ...
RA/V = 0.720601786072767
STEP 3: Convert Result to Output's Unit
0.720601786072767 1 per Meter --> No Conversion Required
FINAL ANSWER
0.720601786072767 0.720602 1 per Meter <-- Surface to Volume Ratio of Pentagonal Bipyramid
(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru
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Surface to Volume Ratio of Pentagonal Bipyramid Calculators

Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area
​ LaTeX ​ Go Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))
Surface to Volume Ratio of Pentagonal Bipyramid given Height
​ LaTeX ​ Go Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))
Surface to Volume Ratio of Pentagonal Bipyramid given Volume
​ LaTeX ​ Go Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3))
Surface to Volume Ratio of Pentagonal Bipyramid
​ LaTeX ​ Go Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*Edge Length of Pentagonal Bipyramid)

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

​LaTeX ​Go
Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))
RA/V = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*TSA)/(5*sqrt(3))))

What is a Pentagonal Bipyramid?

A Pentagonal Bipyramid is made of two pentagonal Johnson pyramids which are stuck together at their bases, which is the Johnson solid generally denoted by J13. It consists of 10 faces which are all equilateral triangles. Also, It has 15 edges and 7 vertices.

How to Calculate Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area?

Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area calculator uses Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3)))) to calculate the Surface to Volume Ratio of Pentagonal Bipyramid, The Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area formula is defined as the numerical ratio of the total surface area of the Pentagonal Bipyramid to the volume of the Pentagonal Bipyramid and is calculated using the total surface area of the Pentagonal Bipyramid. Surface to Volume Ratio of Pentagonal Bipyramid is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area using this online calculator? To use this online calculator for Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area, enter Total Surface Area of Pentagonal Bipyramid (TSA) and hit the calculate button. Here is how the Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area calculation can be explained with given input values -> 0.720602 = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*430)/(5*sqrt(3)))).

FAQ

What is Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area?
The Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area formula is defined as the numerical ratio of the total surface area of the Pentagonal Bipyramid to the volume of the Pentagonal Bipyramid and is calculated using the total surface area of the Pentagonal Bipyramid and is represented as RA/V = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*TSA)/(5*sqrt(3)))) or Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3)))). Total Surface Area of Pentagonal Bipyramid is the total amount of two dimensional space occupied by all the faces of the Pentagonal Bipyramid.
How to calculate Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area?
The Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area formula is defined as the numerical ratio of the total surface area of the Pentagonal Bipyramid to the volume of the Pentagonal Bipyramid and is calculated using the total surface area of the Pentagonal Bipyramid is calculated using Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3)))). To calculate Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area, you need Total Surface Area of Pentagonal Bipyramid (TSA). With our tool, you need to enter the respective value for Total Surface Area of 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 Surface to Volume Ratio of Pentagonal Bipyramid?
In this formula, Surface to Volume Ratio of Pentagonal Bipyramid uses Total Surface Area of Pentagonal Bipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*Edge Length of Pentagonal Bipyramid)
  • Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))
  • Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3))
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