Height of Elongated Square Bipyramid given Surface to Volume Ratio Calculator

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

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✖Height of Elongated Square Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Square Bipyramid.ⓘ Height of Elongated Square Bipyramid given Surface to Volume Ratio [h]

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Formula

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Height of Elongated Square Bipyramid given Surface to Volume Ratio

Formula

`"h" = (sqrt(2)+1)*(4+2*sqrt(3))/((1+sqrt(2)/3)*"AV")`

Example

`"24.49352m"=(sqrt(2)+1)*(4+2*sqrt(3))/((1+sqrt(2)/3)*"0.5m⁻¹")`

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Height of Elongated Square Bipyramid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Elongated Square Bipyramid = (sqrt(2)+1)*(4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid)
h = (sqrt(2)+1)*(4+2*sqrt(3))/((1+sqrt(2)/3)*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 Square Bipyramid - (Measured in Meter) - Height of Elongated Square Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Square Bipyramid.
SA:V of Elongated Square Bipyramid - (Measured in 1 per Meter) - SA:V of Elongated Square Bipyramid is the numerical ratio of the total surface area of the Elongated Square Bipyramid to the volume of the Elongated Square Bipyramid.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (sqrt(2)+1)*(4+2*sqrt(3))/((1+sqrt(2)/3)*AV) --> (sqrt(2)+1)*(4+2*sqrt(3))/((1+sqrt(2)/3)*0.5)

Evaluating ... ...

h = 24.4935163587902

STEP 3: Convert Result to Output's Unit

24.4935163587902 Meter --> No Conversion Required

FINAL ANSWER

24.4935163587902 ≈ 24.49352 Meter <-- Height of Elongated Square Bipyramid

(Calculation completed in 00.004 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 Height of Elongated Square Bipyramid Calculators

Height of Elongated Square Bipyramid given Total Surface Area

Go Height of Elongated Square Bipyramid = (sqrt(2)+1)*sqrt(Total Surface Area of Elongated Square Bipyramid/(4+2*sqrt(3)))

Height of Elongated Square Bipyramid given Surface to Volume Ratio

Go Height of Elongated Square Bipyramid = (sqrt(2)+1)*(4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid)

Height of Elongated Square Bipyramid given Volume

Go Height of Elongated Square Bipyramid = (sqrt(2)+1)*(Volume of Elongated Square Bipyramid/(1+sqrt(2)/3))^(1/3)

Height of Elongated Square Bipyramid

Go Height of Elongated Square Bipyramid = (sqrt(2)+1)*Edge Length of Elongated Square Bipyramid

Height of Elongated Square Bipyramid given Surface to Volume Ratio Formula

Height of Elongated Square Bipyramid = (sqrt(2)+1)*(4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid)
h = (sqrt(2)+1)*(4+2*sqrt(3))/((1+sqrt(2)/3)*AV)

What is an Elongated Square Bipyramid?

The Elongated Square Bipyramid is a regular elongated square pyramid with another regular pyramid attached on the other side, which is the Johnson solid generally denoted by J15. It consists of 12 faces which include 8 equilateral triangles as pyramid faces, and 4 squares as side surfaces. Also, It has 20 edges and 10 vertices.

How to Calculate Height of Elongated Square Bipyramid given Surface to Volume Ratio?

Height of Elongated Square Bipyramid given Surface to Volume Ratio calculator uses Height of Elongated Square Bipyramid = (sqrt(2)+1)*(4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid) to calculate the Height of Elongated Square Bipyramid, The Height of Elongated Square Bipyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Square Bipyramid and is calculated using the surface to volume ratio of the Elongated Square Bipyramid. Height of Elongated Square Bipyramid is denoted by h symbol.

How to calculate Height of Elongated Square Bipyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Elongated Square Bipyramid given Surface to Volume Ratio, enter SA:V of Elongated Square Bipyramid (AV) and hit the calculate button. Here is how the Height of Elongated Square Bipyramid given Surface to Volume Ratio calculation can be explained with given input values -> 24.49352 = (sqrt(2)+1)*(4+2*sqrt(3))/((1+sqrt(2)/3)*0.5).

FAQ

What is Height of Elongated Square Bipyramid given Surface to Volume Ratio?

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

How to calculate Height of Elongated Square Bipyramid given Surface to Volume Ratio?

The Height of Elongated Square Bipyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Square Bipyramid and is calculated using the surface to volume ratio of the Elongated Square Bipyramid is calculated using Height of Elongated Square Bipyramid = (sqrt(2)+1)*(4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid). To calculate Height of Elongated Square Bipyramid given Surface to Volume Ratio, you need SA:V of Elongated Square Bipyramid (AV). With our tool, you need to enter the respective value for SA:V of Elongated Square Bipyramid 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 Square Bipyramid?

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

Height of Elongated Square Bipyramid = (sqrt(2)+1)*Edge Length of Elongated Square Bipyramid
Height of Elongated Square Bipyramid = (sqrt(2)+1)*sqrt(Total Surface Area of Elongated Square Bipyramid/(4+2*sqrt(3)))
Height of Elongated Square Bipyramid = (sqrt(2)+1)*(Volume of Elongated Square Bipyramid/(1+sqrt(2)/3))^(1/3)

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