Volume of Gyroelongated Square Pyramid given Total Surface Area Calculator

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

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

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Volume of Gyroelongated Square Pyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

TSA of Gyroelongated Square Pyramid: 620 Square Meter --> 620 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*(sqrt(SA_Total/(1+(3*sqrt(3)))))^3 --> (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*(sqrt(620/(1+(3*sqrt(3)))))^3

Evaluating ... ...

V = 1193.81334943539

STEP 3: Convert Result to Output's Unit

1193.81334943539 Cubic Meter --> No Conversion Required

FINAL ANSWER

1193.81334943539 ≈ 1193.813 Cubic Meter <-- Volume of Gyroelongated Square Pyramid

(Calculation completed in 00.020 seconds)

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< Volume of Gyroelongated Square Pyramid Calculators

Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio

LaTeX Go Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*((1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*SA:V of Gyroelongated Square Pyramid))^3

Volume of Gyroelongated Square Pyramid given Height

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

Volume of Gyroelongated Square Pyramid given Total Surface Area

LaTeX Go Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*(sqrt(TSA of Gyroelongated Square Pyramid/(1+(3*sqrt(3)))))^3

Volume of Gyroelongated Square Pyramid

LaTeX Go Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*Edge Length of Gyroelongated Square Pyramid^3

Volume of Gyroelongated Square Pyramid given Total Surface Area Formula

LaTeX Go

What is a Gyroelongated Square Pyramid?

The Gyroelongated Square Pyramid is a regular johnson square pyramid with a matching antiprism attached to the base, which is the Johnson solid generally denoted by J10. It consists of 13 faces which include 12 equilateral triangles as side surfaces, and a square as the base surface. Also, It has 20 edges and 9 vertices.

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

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

How to calculate Volume of Gyroelongated Square Pyramid given Total Surface Area using this online calculator? To use this online calculator for Volume of Gyroelongated Square Pyramid given Total Surface Area, enter TSA of Gyroelongated Square Pyramid (SA_Total) and hit the calculate button. Here is how the Volume of Gyroelongated Square Pyramid given Total Surface Area calculation can be explained with given input values -> 1193.813 = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*(sqrt(620/(1+(3*sqrt(3)))))^3.

FAQ

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

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

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

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

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

Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*Edge Length of Gyroelongated Square Pyramid^3
Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*(Height of Gyroelongated Square Pyramid/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2)))^3
Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*((1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*SA:V of Gyroelongated Square Pyramid))^3

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