Height of Elongated Triangular Pyramid given Surface to Volume Ratio Calculator

✖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.ⓘ SA:V of Elongated Triangular Pyramid [AV]

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✖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 given Surface to Volume Ratio [h]

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Formula

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Height of Elongated Triangular Pyramid given Surface to Volume Ratio

Formula

`"h" = (sqrt(6)/3+1)*(3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*"AV")`

Example

`"17.33793m"=(sqrt(6)/3+1)*(3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*"0.9m⁻¹")`

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Height of Elongated Triangular Pyramid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

SA:V of Elongated Triangular Pyramid: 0.9 1 per Meter --> 0.9 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (sqrt(6)/3+1)*(3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*AV) --> (sqrt(6)/3+1)*(3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*0.9)

Evaluating ... ...

h = 17.3379288068198

STEP 3: Convert Result to Output's Unit

17.3379288068198 Meter --> No Conversion Required

FINAL ANSWER

17.3379288068198 ≈ 17.33793 Meter <-- Height of Elongated Triangular Pyramid

(Calculation completed in 00.004 seconds)

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< 4 Height of Elongated Triangular Pyramid Calculators

Height of Elongated Triangular Pyramid given Surface to Volume Ratio

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

Height of Elongated Triangular Pyramid given Volume

Go Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3)

Height of Elongated Triangular Pyramid given Total Surface Area

Go Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3)))

Height of Elongated Triangular Pyramid

Go Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*Edge Length of Elongated Triangular Pyramid

Height of Elongated Triangular Pyramid given Surface to Volume Ratio Formula

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

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 Height of Elongated Triangular Pyramid given Surface to Volume Ratio?

Height of Elongated Triangular Pyramid given Surface to Volume Ratio calculator uses Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*(3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*SA:V of Elongated Triangular Pyramid) to calculate the Height of Elongated Triangular Pyramid, The Height of Elongated Triangular Pyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Triangular Pyramid and is calculated using the surface to volume ratio of the Elongated Triangular Pyramid. Height of Elongated Triangular Pyramid is denoted by h symbol.

How to calculate Height of Elongated Triangular Pyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Elongated Triangular Pyramid given Surface to Volume Ratio, enter SA:V of Elongated Triangular Pyramid (AV) and hit the calculate button. Here is how the Height of Elongated Triangular Pyramid given Surface to Volume Ratio calculation can be explained with given input values -> 17.33793 = (sqrt(6)/3+1)*(3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*0.9).

FAQ

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

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

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

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

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

Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*Edge Length of Elongated Triangular Pyramid
Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3)))
Height of Elongated Triangular Pyramid = (sqrt(6)/3+1)*((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3)

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