Volume of Elongated Pentagonal Bipyramid given Total Surface Area Calculator

✖TSA of Elongated Pentagonal Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Pentagonal Bipyramid.ⓘ TSA of Elongated Pentagonal Bipyramid [SA_Total]

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

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Volume of Elongated Pentagonal Bipyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Elongated Pentagonal Bipyramid = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5)))^3
V = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(SA_Total/((5*sqrt(3))/2+5)))^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 Elongated Pentagonal Bipyramid - (Measured in Cubic Meter) - Volume of Elongated Pentagonal Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Bipyramid.
TSA of Elongated Pentagonal Bipyramid - (Measured in Square Meter) - TSA of Elongated Pentagonal Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Pentagonal Bipyramid.

STEP 1: Convert Input(s) to Base Unit

TSA of Elongated Pentagonal Bipyramid: 930 Square Meter --> 930 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(SA_Total/((5*sqrt(3))/2+5)))^3 --> ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(930/((5*sqrt(3))/2+5)))^3

Evaluating ... ...

V = 2312.23835020861

STEP 3: Convert Result to Output's Unit

2312.23835020861 Cubic Meter --> No Conversion Required

FINAL ANSWER

2312.23835020861 ≈ 2312.238 Cubic Meter <-- Volume of Elongated Pentagonal Bipyramid

(Calculation completed in 00.004 seconds)

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< Volume of Elongated Pentagonal Bipyramid Calculators

Volume of Elongated Pentagonal Bipyramid given Surface to Volume Ratio

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

Volume of Elongated Pentagonal Bipyramid given Height

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

Volume of Elongated Pentagonal Bipyramid given Total Surface Area

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

Volume of Elongated Pentagonal Bipyramid

LaTeX Go Volume of Elongated Pentagonal Bipyramid = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Edge Length of Elongated Pentagonal Bipyramid^3

Volume of Elongated Pentagonal Bipyramid given Total Surface Area 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 Volume of Elongated Pentagonal Bipyramid given Total Surface Area?

Volume of Elongated Pentagonal Bipyramid given Total Surface Area calculator uses Volume of Elongated Pentagonal Bipyramid = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5)))^3 to calculate the Volume of Elongated Pentagonal Bipyramid, The Volume of Elongated Pentagonal Bipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Bipyramid and is calculated using the total surface area of the Elongated Pentagonal Bipyramid. Volume of Elongated Pentagonal Bipyramid is denoted by V symbol.

How to calculate Volume of Elongated Pentagonal Bipyramid given Total Surface Area using this online calculator? To use this online calculator for Volume of Elongated Pentagonal Bipyramid given Total Surface Area, enter TSA of Elongated Pentagonal Bipyramid (SA_Total) and hit the calculate button. Here is how the Volume of Elongated Pentagonal Bipyramid given Total Surface Area calculation can be explained with given input values -> 2312.238 = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(930/((5*sqrt(3))/2+5)))^3.

FAQ

What is Volume of Elongated Pentagonal Bipyramid given Total Surface Area?

The Volume of Elongated Pentagonal Bipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Bipyramid and is calculated using the total surface area of the Elongated Pentagonal Bipyramid and is represented as V = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(SA_Total/((5*sqrt(3))/2+5)))^3 or Volume of Elongated Pentagonal Bipyramid = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5)))^3. TSA of Elongated Pentagonal Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Pentagonal Bipyramid.

How to calculate Volume of Elongated Pentagonal Bipyramid given Total Surface Area?

The Volume of Elongated Pentagonal Bipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Bipyramid and is calculated using the total surface area of the Elongated Pentagonal Bipyramid is calculated using Volume of Elongated Pentagonal Bipyramid = ((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(sqrt(TSA of Elongated Pentagonal Bipyramid/((5*sqrt(3))/2+5)))^3. To calculate Volume of Elongated Pentagonal Bipyramid given Total Surface Area, you need TSA of Elongated Pentagonal Bipyramid (SA_Total). With our tool, you need to enter the respective value for TSA 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 Volume of Elongated Pentagonal Bipyramid?

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

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

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