Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area Calculator

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

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

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Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3
V = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(sqrt(SA_Total/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^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 Gyroelongated Pentagonal Pyramid - (Measured in Cubic Meter) - Volume of Gyroelongated Pentagonal Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Pentagonal Pyramid.
TSA of Gyroelongated Pentagonal Pyramid - (Measured in Square Meter) - TSA of Gyroelongated Pentagonal Pyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Pentagonal Pyramid.

STEP 1: Convert Input(s) to Base Unit

TSA of Gyroelongated Pentagonal Pyramid: 820 Square Meter --> 820 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(sqrt(SA_Total/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3 --> ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(sqrt(820/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3

Evaluating ... ...

V = 1874.81621047592

STEP 3: Convert Result to Output's Unit

1874.81621047592 Cubic Meter --> No Conversion Required

FINAL ANSWER

1874.81621047592 ≈ 1874.816 Cubic Meter <-- Volume of Gyroelongated Pentagonal Pyramid

(Calculation completed in 00.011 seconds)

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< Volume of Gyroelongated Pentagonal Pyramid Calculators

Volume of Gyroelongated Pentagonal Pyramid given Surface to Volume Ratio

LaTeX Go Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*((((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)/(((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*SA:V of Gyroelongated Pentagonal Pyramid))^3

Volume of Gyroelongated Pentagonal Pyramid given Height

LaTeX Go Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)))^3

Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area

LaTeX Go Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3

Volume of Gyroelongated Pentagonal Pyramid

LaTeX Go Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*Edge Length of Gyroelongated Pentagonal Pyramid^3

Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area Formula

LaTeX Go

What is a Gyroelongated Pentagonal Pyramid?

The Gyroelongated Pentagonal Pyramid is a regular johnson pentagonal pyramid with a matching antiprism attached to the base, which is the Johnson solid generally denoted by J11. It consists of 16 faces which include 15 equilateral triangles as side surfaces, and a regular pentagon as the base surface. Also, It has 25 edges and 11 vertices.

How to Calculate Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area?

Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area calculator uses Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3 to calculate the Volume of Gyroelongated Pentagonal Pyramid, The Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Pentagonal Pyramid and is calculated using the total surface area of the Gyroelongated Pentagonal Pyramid. Volume of Gyroelongated Pentagonal Pyramid is denoted by V symbol.

How to calculate Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area using this online calculator? To use this online calculator for Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area, enter TSA of Gyroelongated Pentagonal Pyramid (SA_Total) and hit the calculate button. Here is how the Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area calculation can be explained with given input values -> 1874.816 = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(sqrt(820/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3.

FAQ

What is Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area?

The Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Pentagonal Pyramid and is calculated using the total surface area of the Gyroelongated Pentagonal Pyramid and is represented as V = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(sqrt(SA_Total/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3 or Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3. TSA of Gyroelongated Pentagonal Pyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Pentagonal Pyramid.

How to calculate Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area?

The Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Pentagonal Pyramid and is calculated using the total surface area of the Gyroelongated Pentagonal Pyramid is calculated using Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(sqrt(TSA of Gyroelongated Pentagonal Pyramid/(((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)))^3. To calculate Volume of Gyroelongated Pentagonal Pyramid given Total Surface Area, you need TSA of Gyroelongated Pentagonal Pyramid (SA_Total). With our tool, you need to enter the respective value for TSA of Gyroelongated 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 Volume of Gyroelongated Pentagonal Pyramid?

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

Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*Edge Length of Gyroelongated Pentagonal Pyramid^3
Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*(Height of Gyroelongated Pentagonal Pyramid/(sqrt(1-4/(10+(2*sqrt(5))))+sqrt((5-sqrt(5))/10)))^3
Volume of Gyroelongated Pentagonal Pyramid = ((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*((((15*sqrt(3))+sqrt(25+(10*sqrt(5))))/4)/(((5*(sqrt(5)+1)*sqrt((10+(2*sqrt(5)))/4-1))/(3*(10-(2*sqrt(5))))+(5+sqrt(5))/24)*SA:V of Gyroelongated Pentagonal Pyramid))^3

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