Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height Calculator

✖Height of Gyroelongated Square Dipyramid is the vertical distance from the highest point to the lowest point of the Gyroelongated Square Dipyramid.ⓘ Height of Gyroelongated Square Dipyramid [h]

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✖SA:V of Gyroelongated Square Dipyramid is the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid.ⓘ Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height [AV]

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Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)))
AV = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*h/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)))
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

SA:V of Gyroelongated Square Dipyramid - (Measured in 1 per Meter) - SA:V of Gyroelongated Square Dipyramid is the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid.
Height of Gyroelongated Square Dipyramid - (Measured in Meter) - Height of Gyroelongated Square Dipyramid is the vertical distance from the highest point to the lowest point of the Gyroelongated Square Dipyramid.

STEP 1: Convert Input(s) to Base Unit

Height of Gyroelongated Square Dipyramid: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*h/(sqrt(1-1/(2+sqrt(2)))+sqrt(2))) --> (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*22/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)))

Evaluating ... ...

AV = 0.497180920227566

STEP 3: Convert Result to Output's Unit

0.497180920227566 1 per Meter --> No Conversion Required

FINAL ANSWER

0.497180920227566 ≈ 0.497181 1 per Meter <-- SA:V of Gyroelongated Square Dipyramid

(Calculation completed in 00.012 seconds)

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< Surface to Volume Ratio of Gyroelongated Square Dipyramid Calculators

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume

LaTeX Go SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*((3*Volume of Gyroelongated Square Dipyramid)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3))

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height

LaTeX Go SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)))

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Total Surface Area

LaTeX Go SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))

Surface to Volume Ratio of Gyroelongated Square Dipyramid

LaTeX Go SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Edge Length of Gyroelongated Square Dipyramid)

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height Formula

LaTeX Go

What is a Gyroelongated Square Dipyramid?

The Gyroelongated Square Dipyramid is a regular johnson square pyramid with a matching antiprism attached to the base and another regular square pyramid to the other side, which is the Johnson solid generally denoted by J17. It consists of 16 equilateral triangular faces. Also, It has 24 edges and 10 vertices.

How to Calculate Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height?

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height calculator uses SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2))) to calculate the SA:V of Gyroelongated Square Dipyramid, The Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height formula is defined as the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid and is calculated using the height of the Gyroelongated Square Dipyramid. SA:V of Gyroelongated Square Dipyramid is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height, enter Height of Gyroelongated Square Dipyramid (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height calculation can be explained with given input values -> 0.497181 = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*22/(sqrt(1-1/(2+sqrt(2)))+sqrt(2))).

FAQ

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

The Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height formula is defined as the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid and is calculated using the height of the Gyroelongated Square Dipyramid and is represented as AV = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*h/(sqrt(1-1/(2+sqrt(2)))+sqrt(2))) or SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2))). Height of Gyroelongated Square Dipyramid is the vertical distance from the highest point to the lowest point of the Gyroelongated Square Dipyramid.

How to calculate Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height?

The Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height formula is defined as the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid and is calculated using the height of the Gyroelongated Square Dipyramid is calculated using SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2))). To calculate Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height, you need Height of Gyroelongated Square Dipyramid (h). With our tool, you need to enter the respective value for Height of Gyroelongated Square Dipyramid 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 SA:V of Gyroelongated Square Dipyramid?

In this formula, SA:V of Gyroelongated Square Dipyramid uses Height of Gyroelongated Square Dipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Edge Length of Gyroelongated Square Dipyramid)
SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))
SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*((3*Volume of Gyroelongated Square Dipyramid)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3))

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