Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio Calculator

✖SA:V of Gyroelongated Square Pyramid is the numerical ratio of the total surface area of the Gyroelongated Square Pyramid to the volume of the Gyroelongated Square Pyramid.ⓘ SA:V of Gyroelongated Square Pyramid [AV]

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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 Surface to Volume Ratio [V]

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Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
V = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*((1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*AV))^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.
SA:V of Gyroelongated Square Pyramid - (Measured in 1 per Meter) - SA:V of Gyroelongated Square Pyramid is the numerical ratio of the total surface area of the Gyroelongated Square Pyramid to the volume of the Gyroelongated Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

SA:V of Gyroelongated Square Pyramid: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*((1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*AV))^3 --> (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*((1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*0.5))^3

Evaluating ... ...

V = 1337.80308652144

STEP 3: Convert Result to Output's Unit

1337.80308652144 Cubic Meter --> No Conversion Required

FINAL ANSWER

1337.80308652144 ≈ 1337.803 Cubic Meter <-- Volume of Gyroelongated Square Pyramid

(Calculation completed in 00.004 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 Surface to Volume Ratio 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 Surface to Volume Ratio?

Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio calculator uses 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 to calculate the Volume of Gyroelongated Square Pyramid, The Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio 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 surface to volume ratio of the Gyroelongated Square Pyramid. Volume of Gyroelongated Square Pyramid is denoted by V symbol.

How to calculate Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio, enter SA:V of Gyroelongated Square Pyramid (AV) and hit the calculate button. Here is how the Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio calculation can be explained with given input values -> 1337.803 = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*((1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*0.5))^3.

FAQ

What is Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio?

The Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio 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 surface to volume ratio of the Gyroelongated Square Pyramid and is represented as V = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*((1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*AV))^3 or 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. SA:V of Gyroelongated Square Pyramid is the numerical ratio of the total surface area of the Gyroelongated Square Pyramid to the volume of the Gyroelongated Square Pyramid.

How to calculate Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio?

The Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio 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 surface to volume ratio of the Gyroelongated Square Pyramid is calculated using 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. To calculate Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio, you need SA:V of Gyroelongated Square Pyramid (AV). With our tool, you need to enter the respective value for SA:V 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 SA:V 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*(sqrt(TSA of Gyroelongated Square Pyramid/(1+(3*sqrt(3)))))^3

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