Total Surface Area of Elongated Pentagonal Bipyramid given Volume Calculator

✖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 [V]

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

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Formula

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Total Surface Area of Elongated Pentagonal Bipyramid given Volume

Formula

`"SA"_{"Total"} = ((5*sqrt(3))/2+5)*("V"/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(2/3)`

Example

`"926.7155m²"=((5*sqrt(3))/2+5)*("2300m³"/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(2/3)`

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Total Surface Area of Elongated Pentagonal Bipyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Elongated Pentagonal Bipyramid: 2300 Cubic Meter --> 2300 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SA_Total = ((5*sqrt(3))/2+5)*(V/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(2/3) --> ((5*sqrt(3))/2+5)*(2300/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(2/3)

Evaluating ... ...

SA_Total = 926.71552613591

STEP 3: Convert Result to Output's Unit

926.71552613591 Square Meter --> No Conversion Required

FINAL ANSWER

926.71552613591 ≈ 926.7155 Square Meter <-- TSA of Elongated Pentagonal Bipyramid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Johnson Solids » Elongated Bipyramid » Elongated Pentagonal Bipyramid » Surface Area of Elongated Pentagonal Bipyramid » Total Surface Area of Elongated Pentagonal Bipyramid given Volume

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< 4 Surface Area of Elongated Pentagonal Bipyramid Calculators

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

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

Total Surface Area of Elongated Pentagonal Bipyramid given Volume

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

Total Surface Area of Elongated Pentagonal Bipyramid given Height

Go TSA of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)*(Height of Elongated Pentagonal Bipyramid/((2*sqrt((5-sqrt(5))/10))+1))^2

Total Surface Area of Elongated Pentagonal Bipyramid

Go TSA of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)*Edge Length of Elongated Pentagonal Bipyramid^2

Total Surface Area of Elongated Pentagonal Bipyramid given Volume Formula

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 Total Surface Area of Elongated Pentagonal Bipyramid given Volume?

Total Surface Area of Elongated Pentagonal Bipyramid given Volume calculator uses TSA of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(2/3) to calculate the TSA of Elongated Pentagonal Bipyramid, The Total Surface Area of Elongated Pentagonal Bipyramid given Volume formula is defined as the total amount of two-dimensional space occupied by all the faces of the Elongated Pentagonal Bipyramid and is calculated using the volume of the Elongated Pentagonal Bipyramid. TSA of Elongated Pentagonal Bipyramid is denoted by SA_Total symbol.

How to calculate Total Surface Area of Elongated Pentagonal Bipyramid given Volume using this online calculator? To use this online calculator for Total Surface Area of Elongated Pentagonal Bipyramid given Volume, enter Volume of Elongated Pentagonal Bipyramid (V) and hit the calculate button. Here is how the Total Surface Area of Elongated Pentagonal Bipyramid given Volume calculation can be explained with given input values -> 926.7155 = ((5*sqrt(3))/2+5)*(2300/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(2/3).

FAQ

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

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

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

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

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

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

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