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

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Elongated Square Bipyramid = (4+2*sqrt(3))*((4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid))^2
TSA = (4+2*sqrt(3))*((4+2*sqrt(3))/((1+sqrt(2)/3)*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
Total Surface Area of Elongated Square Bipyramid - (Measured in Square Meter) - Total Surface Area of Elongated Square Bipyramid is the total amount of two-dimensional space occupied by all the faces 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
TSA = (4+2*sqrt(3))*((4+2*sqrt(3))/((1+sqrt(2)/3)*AV))^2 --> (4+2*sqrt(3))*((4+2*sqrt(3))/((1+sqrt(2)/3)*0.5))^2
Evaluating ... ...
TSA = 768.295781886421
STEP 3: Convert Result to Output's Unit
768.295781886421 Square Meter --> No Conversion Required
FINAL ANSWER
768.295781886421 768.2958 Square Meter <-- Total Surface Area of Elongated Square Bipyramid
(Calculation completed in 00.007 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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Surface Area of Elongated Square Bipyramid Calculators

Total Surface Area of Elongated Square Bipyramid given Surface to Volume Ratio
​ LaTeX ​ Go Total Surface Area of Elongated Square Bipyramid = (4+2*sqrt(3))*((4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid))^2
Total Surface Area of Elongated Square Bipyramid given Volume
​ LaTeX ​ Go Total Surface Area of Elongated Square Bipyramid = (4+2*sqrt(3))*(Volume of Elongated Square Bipyramid/(1+sqrt(2)/3))^(2/3)
Total Surface Area of Elongated Square Bipyramid given Height
​ LaTeX ​ Go Total Surface Area of Elongated Square Bipyramid = (4+2*sqrt(3))*(Height of Elongated Square Bipyramid/(sqrt(2)+1))^2
Total Surface Area of Elongated Square Bipyramid
​ LaTeX ​ Go Total Surface Area of Elongated Square Bipyramid = (4+2*sqrt(3))*Edge Length of Elongated Square Bipyramid^2

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

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

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

Total Surface Area of Elongated Square Bipyramid given Surface to Volume Ratio calculator uses Total Surface Area of Elongated Square Bipyramid = (4+2*sqrt(3))*((4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid))^2 to calculate the Total Surface Area of Elongated Square Bipyramid, The Total Surface Area of Elongated Square 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 Square Bipyramid and is calculated using the surface to volume ratio of the Elongated Square Bipyramid. Total Surface Area of Elongated Square Bipyramid is denoted by TSA symbol.

How to calculate Total Surface Area of Elongated Square Bipyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area 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 Total Surface Area of Elongated Square Bipyramid given Surface to Volume Ratio calculation can be explained with given input values -> 768.2958 = (4+2*sqrt(3))*((4+2*sqrt(3))/((1+sqrt(2)/3)*0.5))^2.

FAQ

What is Total Surface Area of Elongated Square Bipyramid given Surface to Volume Ratio?
The Total Surface Area of Elongated Square 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 Square Bipyramid and is calculated using the surface to volume ratio of the Elongated Square Bipyramid and is represented as TSA = (4+2*sqrt(3))*((4+2*sqrt(3))/((1+sqrt(2)/3)*AV))^2 or Total Surface Area of Elongated Square Bipyramid = (4+2*sqrt(3))*((4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid))^2. 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 Total Surface Area of Elongated Square Bipyramid given Surface to Volume Ratio?
The Total Surface Area of Elongated Square 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 Square Bipyramid and is calculated using the surface to volume ratio of the Elongated Square Bipyramid is calculated using Total Surface Area of Elongated Square Bipyramid = (4+2*sqrt(3))*((4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid))^2. To calculate Total Surface Area 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 Total Surface Area of Elongated Square Bipyramid?
In this formula, Total Surface Area 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 -
  • Total Surface Area of Elongated Square Bipyramid = (4+2*sqrt(3))*Edge Length of Elongated Square Bipyramid^2
  • Total Surface Area of Elongated Square Bipyramid = (4+2*sqrt(3))*(Height of Elongated Square Bipyramid/(sqrt(2)+1))^2
  • Total Surface Area of Elongated Square Bipyramid = (4+2*sqrt(3))*(Volume of Elongated Square Bipyramid/(1+sqrt(2)/3))^(2/3)
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