Surface to Volume Ratio of Gyroelongated Square Pyramid given Height Calculator

✖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 [h]

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✖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.ⓘ Surface to Volume Ratio of Gyroelongated Square Pyramid given Height [AV]

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Surface to Volume Ratio of Gyroelongated Square Pyramid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Height of Gyroelongated Square Pyramid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = (1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*h/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))) --> (1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*15/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2)))

Evaluating ... ...

AV = 0.536130668457503

STEP 3: Convert Result to Output's Unit

0.536130668457503 1 per Meter --> No Conversion Required

FINAL ANSWER

0.536130668457503 ≈ 0.536131 1 per Meter <-- SA:V of Gyroelongated Square Pyramid

(Calculation completed in 00.004 seconds)

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< Surface to Volume Ratio of Gyroelongated Square Pyramid Calculators

Surface to Volume Ratio of Gyroelongated Square Pyramid given Volume

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

Surface to Volume Ratio of Gyroelongated Square Pyramid given Height

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

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

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

Surface to Volume Ratio of Gyroelongated Square Pyramid

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

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

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

How to calculate Surface to Volume Ratio of Gyroelongated Square Pyramid given Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Gyroelongated Square Pyramid given Height, enter Height of Gyroelongated Square Pyramid (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Gyroelongated Square Pyramid given Height calculation can be explained with given input values -> 0.536131 = (1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*15/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))).

FAQ

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

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

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

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

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

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

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