Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio Calculator

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

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✖TSA of Elongated Triangular Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Bipyramid.ⓘ Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio [SA_Total]

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Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

TSA of Elongated Triangular Bipyramid = 3/2*(2+sqrt(3))*((3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*SA:V of Elongated Triangular Bipyramid))^2
SA_Total = 3/2*(2+sqrt(3))*((3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*AV))^2
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

TSA of Elongated Triangular Bipyramid - (Measured in Square Meter) - TSA of Elongated Triangular Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Bipyramid.
SA:V of Elongated Triangular Bipyramid - (Measured in 1 per Meter) - SA:V of Elongated Triangular Bipyramid is the numerical ratio of the total surface area of the Elongated Triangular Bipyramid to the volume of the Elongated Triangular Bipyramid.

STEP 1: Convert Input(s) to Base Unit

SA:V of Elongated Triangular Bipyramid: 0.8 1 per Meter --> 0.8 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SA_Total = 3/2*(2+sqrt(3))*((3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*AV))^2 --> 3/2*(2+sqrt(3))*((3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*0.8))^2

Evaluating ... ...

SA_Total = 612.991376230545

STEP 3: Convert Result to Output's Unit

612.991376230545 Square Meter --> No Conversion Required

FINAL ANSWER

612.991376230545 ≈ 612.9914 Square Meter <-- TSA of Elongated Triangular Bipyramid

(Calculation completed in 00.007 seconds)

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< Surface Area of Elongated Triangular Bipyramid Calculators

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

LaTeX Go TSA of Elongated Triangular Bipyramid = 3/2*(2+sqrt(3))*((3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*SA:V of Elongated Triangular Bipyramid))^2

Total Surface Area of Elongated Triangular Bipyramid given Volume

LaTeX Go TSA of Elongated Triangular Bipyramid = 3/2*(2+sqrt(3))*((12*Volume of Elongated Triangular Bipyramid)/((2*sqrt(2))+(3*sqrt(3))))^(2/3)

Total Surface Area of Elongated Triangular Bipyramid given Height

LaTeX Go TSA of Elongated Triangular Bipyramid = 3/2*(2+sqrt(3))*(Height of Elongated Triangular Bipyramid/((2*sqrt(6))/3+1))^2

Total Surface Area of Elongated Triangular Bipyramid

LaTeX Go TSA of Elongated Triangular Bipyramid = 3/2*(2+sqrt(3))*Edge Length of Elongated Triangular Bipyramid^2

Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio Formula

LaTeX Go

What is an Elongated Triangular Bipyramid?

The Elongated Triangular Bipyramid is a regular elongated triangular pyramid with another regular pyramid attached on the other side, which is the Johnson solid generally denoted by J14. It consists of 9 faces which include 6 equilateral triangles as pyramid faces, and 3 squares as side surfaces. Also, It has 15 edges and 8 vertices.

How to Calculate Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio?

Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio calculator uses TSA of Elongated Triangular Bipyramid = 3/2*(2+sqrt(3))*((3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*SA:V of Elongated Triangular Bipyramid))^2 to calculate the TSA of Elongated Triangular Bipyramid, The Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Bipyramid and is calculated using the surface to volume ratio of the Elongated Triangular Bipyramid. TSA of Elongated Triangular Bipyramid is denoted by SA_Total symbol.

How to calculate Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio, enter SA:V of Elongated Triangular Bipyramid (AV) and hit the calculate button. Here is how the Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio calculation can be explained with given input values -> 612.9914 = 3/2*(2+sqrt(3))*((3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*0.8))^2.

FAQ

What is Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio?

The Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Bipyramid and is calculated using the surface to volume ratio of the Elongated Triangular Bipyramid and is represented as SA_Total = 3/2*(2+sqrt(3))*((3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*AV))^2 or TSA of Elongated Triangular Bipyramid = 3/2*(2+sqrt(3))*((3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*SA:V of Elongated Triangular Bipyramid))^2. SA:V of Elongated Triangular Bipyramid is the numerical ratio of the total surface area of the Elongated Triangular Bipyramid to the volume of the Elongated Triangular Bipyramid.

How to calculate Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio?

The Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Bipyramid and is calculated using the surface to volume ratio of the Elongated Triangular Bipyramid is calculated using TSA of Elongated Triangular Bipyramid = 3/2*(2+sqrt(3))*((3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*SA:V of Elongated Triangular Bipyramid))^2. To calculate Total Surface Area of Elongated Triangular Bipyramid given Surface to Volume Ratio, you need SA:V of Elongated Triangular Bipyramid (AV). With our tool, you need to enter the respective value for SA:V of Elongated Triangular 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 TSA of Elongated Triangular Bipyramid?

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

TSA of Elongated Triangular Bipyramid = 3/2*(2+sqrt(3))*Edge Length of Elongated Triangular Bipyramid^2
TSA of Elongated Triangular Bipyramid = 3/2*(2+sqrt(3))*(Height of Elongated Triangular Bipyramid/((2*sqrt(6))/3+1))^2
TSA of Elongated Triangular Bipyramid = 3/2*(2+sqrt(3))*((12*Volume of Elongated Triangular Bipyramid)/((2*sqrt(2))+(3*sqrt(3))))^(2/3)

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