Surface to Volume Ratio of Elongated Square Bipyramid given Height Calculator

✖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 [h]

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✖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.ⓘ Surface to Volume Ratio of Elongated Square Bipyramid given Height [AV]

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Formula

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Surface to Volume Ratio of Elongated Square Bipyramid given Height

Formula

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

Example

`"0.510282m⁻¹"=(4+2*sqrt(3))/((1+sqrt(2)/3)*("24m"/(sqrt(2)+1)))`

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Surface to Volume Ratio of Elongated Square Bipyramid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Height of Elongated Square Bipyramid: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = (4+2*sqrt(3))/((1+sqrt(2)/3)*(h/(sqrt(2)+1))) --> (4+2*sqrt(3))/((1+sqrt(2)/3)*(24/(sqrt(2)+1)))

Evaluating ... ...

AV = 0.510281590808129

STEP 3: Convert Result to Output's Unit

0.510281590808129 1 per Meter --> No Conversion Required

FINAL ANSWER

0.510281590808129 ≈ 0.510282 1 per Meter <-- SA:V of Elongated Square Bipyramid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Johnson Solids » Elongated Bipyramid » Elongated Square Bipyramid » Surface to Volume Ratio of Elongated Square Bipyramid » Surface to Volume Ratio of Elongated Square Bipyramid given Height

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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 Surface to Volume Ratio of Elongated Square Bipyramid Calculators

Surface to Volume Ratio of Elongated Square Bipyramid given Total Surface Area

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

Surface to Volume Ratio of Elongated Square Bipyramid given Volume

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

Surface to Volume Ratio of Elongated Square Bipyramid given Height

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

Surface to Volume Ratio of Elongated Square Bipyramid

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

Surface to Volume Ratio of Elongated Square Bipyramid given Height Formula

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

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 Surface to Volume Ratio of Elongated Square Bipyramid given Height?

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

How to calculate Surface to Volume Ratio of Elongated Square Bipyramid given Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Square Bipyramid given Height, enter Height of Elongated Square Bipyramid (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Square Bipyramid given Height calculation can be explained with given input values -> 0.510282 = (4+2*sqrt(3))/((1+sqrt(2)/3)*(24/(sqrt(2)+1))).

FAQ

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

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

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

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

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

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

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