Volume of Pentagonal Bipyramid given Surface to Volume Ratio Calculator

✖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.ⓘ Surface to Volume Ratio of Pentagonal Bipyramid [R_A/V]

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✖Volume of Pentagonal Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid.ⓘ Volume of Pentagonal Bipyramid given Surface to Volume Ratio [V]

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Volume of Pentagonal Bipyramid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^3
V = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*R_A/V))^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

Volume of Pentagonal Bipyramid - (Measured in Cubic Meter) - Volume of Pentagonal Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid.
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.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Pentagonal Bipyramid: 0.7 1 per Meter --> 0.7 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*R_A/V))^3 --> (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*0.7))^3

Evaluating ... ...

V = 650.976039822864

STEP 3: Convert Result to Output's Unit

650.976039822864 Cubic Meter --> No Conversion Required

FINAL ANSWER

650.976039822864 ≈ 650.976 Cubic Meter <-- Volume of Pentagonal Bipyramid

(Calculation completed in 00.004 seconds)

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< Volume of Pentagonal Bipyramid Calculators

Volume of Pentagonal Bipyramid given Surface to Volume Ratio

LaTeX Go Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^3

Volume of Pentagonal Bipyramid given Total Surface Area

LaTeX Go Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))^3

Volume of Pentagonal Bipyramid given Height

LaTeX Go Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^3

Volume of Pentagonal Bipyramid

LaTeX Go Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*Edge Length of Pentagonal Bipyramid^3

Volume of Pentagonal Bipyramid given Surface to Volume Ratio Formula

LaTeX Go

Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^3
V = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*R_A/V))^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 Volume of Pentagonal Bipyramid given Surface to Volume Ratio?

Volume of Pentagonal Bipyramid given Surface to Volume Ratio calculator uses Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^3 to calculate the Volume of Pentagonal Bipyramid, The Volume of Pentagonal Bipyramid given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid and is calculated using the surface to volume ratio of the Pentagonal Bipyramid. Volume of Pentagonal Bipyramid is denoted by V symbol.

How to calculate Volume of Pentagonal Bipyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Pentagonal Bipyramid given Surface to Volume Ratio, enter Surface to Volume Ratio of Pentagonal Bipyramid (R_A/V) and hit the calculate button. Here is how the Volume of Pentagonal Bipyramid given Surface to Volume Ratio calculation can be explained with given input values -> 650.976 = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*0.7))^3.

FAQ

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

The Volume of Pentagonal Bipyramid given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid and is calculated using the surface to volume ratio of the Pentagonal Bipyramid and is represented as V = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*R_A/V))^3 or Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^3. 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.

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

The Volume of Pentagonal Bipyramid given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid and is calculated using the surface to volume ratio of the Pentagonal Bipyramid is calculated using Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^3. To calculate Volume of Pentagonal Bipyramid given Surface to Volume Ratio, you need Surface to Volume Ratio of Pentagonal Bipyramid (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Volume of Pentagonal Bipyramid?

In this formula, Volume of Pentagonal Bipyramid uses Surface to Volume Ratio of Pentagonal Bipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*Edge Length of Pentagonal Bipyramid^3
Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^3
Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))^3

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