Edge Length of Elongated Square Pyramid given Surface to Volume Ratio Calculator

✖SA:V of Elongated Square Pyramid is the numerical ratio of the total surface area of the Elongated Square Pyramid to the volume of the Elongated Square Pyramid.ⓘ SA:V of Elongated Square Pyramid [AV]

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✖Edge Length of Elongated Square Pyramid is the length of any edge of the Elongated Square Pyramid.ⓘ Edge Length of Elongated Square Pyramid given Surface to Volume Ratio [l_e]

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Formula

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Edge Length of Elongated Square Pyramid given Surface to Volume Ratio

Formula

`"l"_{"e"} = (5+sqrt(3))/((1+sqrt(2)/6)*"AV")`

Example

`"10.89591m"=(5+sqrt(3))/((1+sqrt(2)/6)*"0.5m⁻¹")`

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Edge Length of Elongated Square Pyramid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid)
l_e = (5+sqrt(3))/((1+sqrt(2)/6)*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

Edge Length of Elongated Square Pyramid - (Measured in Meter) - Edge Length of Elongated Square Pyramid is the length of any edge of the Elongated Square Pyramid.
SA:V of Elongated Square Pyramid - (Measured in 1 per Meter) - SA:V of Elongated Square Pyramid is the numerical ratio of the total surface area of the Elongated Square Pyramid to the volume of the Elongated Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

SA:V of Elongated Square Pyramid: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (5+sqrt(3))/((1+sqrt(2)/6)*AV) --> (5+sqrt(3))/((1+sqrt(2)/6)*0.5)

Evaluating ... ...

l_e = 10.8959108085052

STEP 3: Convert Result to Output's Unit

10.8959108085052 Meter --> No Conversion Required

FINAL ANSWER

10.8959108085052 ≈ 10.89591 Meter <-- Edge Length of Elongated Square Pyramid

(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 4 Edge Length of Elongated Square Pyramid Calculators

Edge Length of Elongated Square Pyramid given Total Surface Area

Go Edge Length of Elongated Square Pyramid = sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3)))

Edge Length of Elongated Square Pyramid given Surface to Volume Ratio

Go Edge Length of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid)

Edge Length of Elongated Square Pyramid given Volume

Go Edge Length of Elongated Square Pyramid = (Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3)

Edge Length of Elongated Square Pyramid given Height

Go Edge Length of Elongated Square Pyramid = Height of Elongated Square Pyramid/(1/sqrt(2)+1)

Edge Length of Elongated Square Pyramid given Surface to Volume Ratio Formula

Edge Length of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid)
l_e = (5+sqrt(3))/((1+sqrt(2)/6)*AV)

What is an Elongated Square Pyramid?

The Elongated Square Pyramid is a regular pentahedron with a matching regular cube attached to one face, which is the Johnson solid generally denoted by J8. It consists of 9 faces which include 4 equilateral triangles as pyramid faces, 4 squares as side surfaces, and another square as the base surface. Also, It has 16 edges and 9 vertices.

How to Calculate Edge Length of Elongated Square Pyramid given Surface to Volume Ratio?

Edge Length of Elongated Square Pyramid given Surface to Volume Ratio calculator uses Edge Length of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid) to calculate the Edge Length of Elongated Square Pyramid, The Edge Length of Elongated Square Pyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Elongated Square Pyramid and is calculated using the surface to volume ratio of the Elongated Square Pyramid. Edge Length of Elongated Square Pyramid is denoted by l_e symbol.

How to calculate Edge Length of Elongated Square Pyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Elongated Square Pyramid given Surface to Volume Ratio, enter SA:V of Elongated Square Pyramid (AV) and hit the calculate button. Here is how the Edge Length of Elongated Square Pyramid given Surface to Volume Ratio calculation can be explained with given input values -> 10.89591 = (5+sqrt(3))/((1+sqrt(2)/6)*0.5).

FAQ

What is Edge Length of Elongated Square Pyramid given Surface to Volume Ratio?

The Edge Length of Elongated Square Pyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Elongated Square Pyramid and is calculated using the surface to volume ratio of the Elongated Square Pyramid and is represented as l_e = (5+sqrt(3))/((1+sqrt(2)/6)*AV) or Edge Length of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid). SA:V of Elongated Square Pyramid is the numerical ratio of the total surface area of the Elongated Square Pyramid to the volume of the Elongated Square Pyramid.

How to calculate Edge Length of Elongated Square Pyramid given Surface to Volume Ratio?

The Edge Length of Elongated Square Pyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Elongated Square Pyramid and is calculated using the surface to volume ratio of the Elongated Square Pyramid is calculated using Edge Length of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid). To calculate Edge Length of Elongated Square Pyramid given Surface to Volume Ratio, you need SA:V of Elongated Square Pyramid (AV). With our tool, you need to enter the respective value for SA:V of Elongated 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 Edge Length of Elongated Square Pyramid?

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

Edge Length of Elongated Square Pyramid = Height of Elongated Square Pyramid/(1/sqrt(2)+1)
Edge Length of Elongated Square Pyramid = sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3)))
Edge Length of Elongated Square Pyramid = (Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3)

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