Height 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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✖Height of Gyroelongated Square Pyramid is the vertical distance from the highest point to the lowest point of the Gyroelongated Square Pyramid.ⓘ Height of Gyroelongated Square Pyramid given Surface to Volume Ratio [h]

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Height of Gyroelongated Square Pyramid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Gyroelongated Square Pyramid = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*(1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*SA:V of Gyroelongated Square Pyramid)
h = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*(1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*AV)
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

Height of Gyroelongated Square Pyramid - (Measured in Meter) - Height of Gyroelongated Square Pyramid is the vertical distance from the highest point to the lowest point 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

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

Evaluating ... ...

h = 16.0839200537251

STEP 3: Convert Result to Output's Unit

16.0839200537251 Meter --> No Conversion Required

FINAL ANSWER

16.0839200537251 ≈ 16.08392 Meter <-- Height of Gyroelongated Square Pyramid

(Calculation completed in 00.004 seconds)

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< Height of Gyroelongated Square Pyramid Calculators

Height of Gyroelongated Square Pyramid given Surface to Volume Ratio

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

Height of Gyroelongated Square Pyramid given Volume

LaTeX Go 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)))^(1/3)

Height of Gyroelongated Square Pyramid given Total Surface Area

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

Height of Gyroelongated Square Pyramid

LaTeX Go Height of Gyroelongated Square Pyramid = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*Edge Length of Gyroelongated Square Pyramid

Height of Gyroelongated Square Pyramid given Surface to Volume Ratio Formula

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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 Height of Gyroelongated Square Pyramid given Surface to Volume Ratio?

Height of Gyroelongated Square Pyramid given Surface to Volume Ratio calculator uses Height of Gyroelongated Square Pyramid = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*(1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*SA:V of Gyroelongated Square Pyramid) to calculate the Height of Gyroelongated Square Pyramid, The Height of Gyroelongated Square Pyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Gyroelongated Square Pyramid and is calculated using the surface to volume ratio of the Gyroelongated Square Pyramid. Height of Gyroelongated Square Pyramid is denoted by h symbol.

How to calculate Height of Gyroelongated Square Pyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Height 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 Height of Gyroelongated Square Pyramid given Surface to Volume Ratio calculation can be explained with given input values -> 16.08392 = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*(1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*0.5).

FAQ

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

The Height of Gyroelongated Square Pyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Gyroelongated Square Pyramid and is calculated using the surface to volume ratio of the Gyroelongated Square Pyramid and is represented as h = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*(1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*AV) or Height of Gyroelongated Square Pyramid = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*(1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*SA:V of Gyroelongated Square Pyramid). 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 Height of Gyroelongated Square Pyramid given Surface to Volume Ratio?

The Height of Gyroelongated Square Pyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Gyroelongated Square Pyramid and is calculated using the surface to volume ratio of the Gyroelongated Square Pyramid is calculated using Height of Gyroelongated Square Pyramid = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*(1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*SA:V of Gyroelongated Square Pyramid). To calculate Height 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 Height of Gyroelongated Square Pyramid?

In this formula, Height 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 -

Height of Gyroelongated Square Pyramid = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*Edge Length of Gyroelongated Square Pyramid
Height of Gyroelongated Square Pyramid = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*sqrt(TSA of Gyroelongated Square Pyramid/(1+(3*sqrt(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)))^(1/3)

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