Surface to Volume Ratio of Elongated Triangular Pyramid given Height Calculator

✖Height of Elongated Triangular Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Triangular Pyramid.ⓘ Height of Elongated Triangular Pyramid [h]

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

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Surface to Volume Ratio of Elongated Triangular Pyramid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*Height of Elongated Triangular Pyramid/(sqrt(6)/3+1))
AV = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*h/(sqrt(6)/3+1))
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 Elongated Triangular Pyramid - (Measured in 1 per Meter) - SA:V of Elongated Triangular Pyramid is the numerical ratio of the total surface area of the Elongated Triangular Pyramid to the volume of the Elongated Triangular Pyramid.
Height of Elongated Triangular Pyramid - (Measured in Meter) - Height of Elongated Triangular Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Triangular Pyramid.

STEP 1: Convert Input(s) to Base Unit

Height of Elongated Triangular Pyramid: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*h/(sqrt(6)/3+1)) --> (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*18/(sqrt(6)/3+1))

Evaluating ... ...

AV = 0.866896440340988

STEP 3: Convert Result to Output's Unit

0.866896440340988 1 per Meter --> No Conversion Required

FINAL ANSWER

0.866896440340988 ≈ 0.866896 1 per Meter <-- SA:V of Elongated Triangular Pyramid

(Calculation completed in 00.020 seconds)

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< Surface to Volume Ratio of Elongated Triangular Pyramid Calculators

Surface to Volume Ratio of Elongated Triangular Pyramid given Volume

LaTeX Go SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3))

Surface to Volume Ratio of Elongated Triangular Pyramid given Total Surface Area

LaTeX Go SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3))))

Surface to Volume Ratio of Elongated Triangular Pyramid given Height

LaTeX Go SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*Height of Elongated Triangular Pyramid/(sqrt(6)/3+1))

Surface to Volume Ratio of Elongated Triangular Pyramid

LaTeX Go SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Pyramid)

Surface to Volume Ratio of Elongated Triangular Pyramid given Height Formula

LaTeX Go

SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*Height of Elongated Triangular Pyramid/(sqrt(6)/3+1))
AV = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*h/(sqrt(6)/3+1))

What is an Elongated Triangular Pyramid?

The Elongated Triangular Pyramid is a regular tetrahedron with a matching right prism attached to one face, which is the Johnson solid generally denoted by J7. It consists of 7 faces which include 3 equilateral triangles as pyramid faces, 3 squares as side surfaces, and another equilateral triangle as the base surface. Also, It has 12 edges and 7 vertices.

How to Calculate Surface to Volume Ratio of Elongated Triangular Pyramid given Height?

Surface to Volume Ratio of Elongated Triangular Pyramid given Height calculator uses SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*Height of Elongated Triangular Pyramid/(sqrt(6)/3+1)) to calculate the SA:V of Elongated Triangular Pyramid, The Surface to Volume Ratio of Elongated Triangular Pyramid given Height formula is defined as the numerical ratio of the total surface area of the Elongated Triangular Pyramid to the volume of the Elongated Triangular Pyramid and is calculated using the height of the Elongated Triangular Pyramid. SA:V of Elongated Triangular Pyramid is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Elongated Triangular Pyramid given Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Triangular Pyramid given Height, enter Height of Elongated Triangular Pyramid (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Triangular Pyramid given Height calculation can be explained with given input values -> 0.866896 = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*18/(sqrt(6)/3+1)).

FAQ

What is Surface to Volume Ratio of Elongated Triangular Pyramid given Height?

The Surface to Volume Ratio of Elongated Triangular Pyramid given Height formula is defined as the numerical ratio of the total surface area of the Elongated Triangular Pyramid to the volume of the Elongated Triangular Pyramid and is calculated using the height of the Elongated Triangular Pyramid and is represented as AV = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*h/(sqrt(6)/3+1)) or SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*Height of Elongated Triangular Pyramid/(sqrt(6)/3+1)). Height of Elongated Triangular Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Triangular Pyramid.

How to calculate Surface to Volume Ratio of Elongated Triangular Pyramid given Height?

The Surface to Volume Ratio of Elongated Triangular Pyramid given Height formula is defined as the numerical ratio of the total surface area of the Elongated Triangular Pyramid to the volume of the Elongated Triangular Pyramid and is calculated using the height of the Elongated Triangular Pyramid is calculated using SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*Height of Elongated Triangular Pyramid/(sqrt(6)/3+1)). To calculate Surface to Volume Ratio of Elongated Triangular Pyramid given Height, you need Height of Elongated Triangular Pyramid (h). With our tool, you need to enter the respective value for Height of Elongated Triangular 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 Elongated Triangular Pyramid?

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

SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Pyramid)
SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3))))
SA:V of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3))

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