Volume 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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✖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 given Surface to Volume Ratio [V]

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Formula

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Volume of Elongated Square Bipyramid given Surface to Volume Ratio

Formula

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

Example

`"1536.592m³"=(1+sqrt(2)/3)*((4+2*sqrt(3))/((1+sqrt(2)/3)*"0.5m⁻¹"))^3`

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Volume of Elongated Square Bipyramid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

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

Evaluating ... ...

V = 1536.59156377284

STEP 3: Convert Result to Output's Unit

1536.59156377284 Cubic Meter --> No Conversion Required

FINAL ANSWER

1536.59156377284 ≈ 1536.592 Cubic Meter <-- Volume of Elongated Square Bipyramid

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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< 4 Volume of Elongated Square Bipyramid Calculators

Volume of Elongated Square Bipyramid given Total Surface Area

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

Volume of Elongated Square Bipyramid given Surface to Volume Ratio

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

Volume of Elongated Square Bipyramid given Height

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

Volume of Elongated Square Bipyramid

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

Volume of Elongated Square Bipyramid given Surface to Volume Ratio Formula

Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*((4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid))^3
V = (1+sqrt(2)/3)*((4+2*sqrt(3))/((1+sqrt(2)/3)*AV))^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 Volume of Elongated Square Bipyramid given Surface to Volume Ratio?

Volume of Elongated Square Bipyramid given Surface to Volume Ratio calculator uses Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*((4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid))^3 to calculate the Volume of Elongated Square Bipyramid, The Volume of Elongated Square Bipyramid given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Bipyramid and is calculated using the surface to volume ratio of the Elongated Square Bipyramid. Volume of Elongated Square Bipyramid is denoted by V symbol.

How to calculate Volume of Elongated Square Bipyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume 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 Volume of Elongated Square Bipyramid given Surface to Volume Ratio calculation can be explained with given input values -> 1536.592 = (1+sqrt(2)/3)*((4+2*sqrt(3))/((1+sqrt(2)/3)*0.5))^3.

FAQ

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

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

The Volume of Elongated Square Bipyramid given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Bipyramid and is calculated using the surface to volume ratio of the Elongated Square Bipyramid is calculated using Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*((4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid))^3. To calculate Volume 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 Volume of Elongated Square Bipyramid?

In this formula, Volume 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 -

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

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