Surface to Volume Ratio of Elongated Square Bipyramid given Volume Calculator

✖Volume of Elongated Square Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Bipyramid.ⓘ Volume of Elongated Square Bipyramid [V]

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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 Volume [AV]

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Formula

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Surface to Volume Ratio of Elongated Square Bipyramid given Volume

Formula

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

Example

`"0.504033m⁻¹"=(4+2*sqrt(3))/((1+sqrt(2)/3)*("1500m³"/(1+sqrt(2)/3))^(1/3))`

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Surface to Volume Ratio of Elongated Square Bipyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
AV = (4+2*sqrt(3))/((1+sqrt(2)/3)*(V/(1+sqrt(2)/3))^(1/3))
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.
Volume of Elongated Square Bipyramid - (Measured in Cubic Meter) - Volume of Elongated Square Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Bipyramid.

STEP 1: Convert Input(s) to Base Unit

Volume of Elongated Square Bipyramid: 1500 Cubic Meter --> 1500 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = (4+2*sqrt(3))/((1+sqrt(2)/3)*(V/(1+sqrt(2)/3))^(1/3)) --> (4+2*sqrt(3))/((1+sqrt(2)/3)*(1500/(1+sqrt(2)/3))^(1/3))

Evaluating ... ...

AV = 0.504033109887411

STEP 3: Convert Result to Output's Unit

0.504033109887411 1 per Meter --> No Conversion Required

FINAL ANSWER

0.504033109887411 ≈ 0.504033 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 Volume

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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 Volume Formula

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))
AV = (4+2*sqrt(3))/((1+sqrt(2)/3)*(V/(1+sqrt(2)/3))^(1/3))

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 Volume?

Surface to Volume Ratio of Elongated Square Bipyramid given Volume calculator uses 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)) to calculate the SA:V of Elongated Square Bipyramid, The Surface to Volume Ratio of Elongated Square Bipyramid given Volume 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 volume 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 Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Square Bipyramid given Volume, enter Volume of Elongated Square Bipyramid (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Square Bipyramid given Volume calculation can be explained with given input values -> 0.504033 = (4+2*sqrt(3))/((1+sqrt(2)/3)*(1500/(1+sqrt(2)/3))^(1/3)).

FAQ

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

The Surface to Volume Ratio of Elongated Square Bipyramid given Volume 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 volume of the Elongated Square Bipyramid and is represented as AV = (4+2*sqrt(3))/((1+sqrt(2)/3)*(V/(1+sqrt(2)/3))^(1/3)) or 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)). Volume of Elongated Square Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Bipyramid.

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

The Surface to Volume Ratio of Elongated Square Bipyramid given Volume 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 volume of the Elongated Square Bipyramid is calculated using 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)). To calculate Surface to Volume Ratio of Elongated Square Bipyramid given Volume, you need Volume of Elongated Square Bipyramid (V). With our tool, you need to enter the respective value for Volume 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 Volume 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)*(Height of Elongated Square Bipyramid/(sqrt(2)+1)))
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))))

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