Height of Elongated Triangular Bipyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Elongated Triangular Bipyramid = ((2*sqrt(6))/3+1)*sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3))))
h = ((2*sqrt(6))/3+1)*sqrt(SATotal/(3/2*(2+sqrt(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
Height of Elongated Triangular Bipyramid - (Measured in Meter) - Height of Elongated Triangular Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Triangular Bipyramid.
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.
STEP 1: Convert Input(s) to Base Unit
TSA of Elongated Triangular Bipyramid: 560 Square Meter --> 560 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = ((2*sqrt(6))/3+1)*sqrt(SATotal/(3/2*(2+sqrt(3)))) --> ((2*sqrt(6))/3+1)*sqrt(560/(3/2*(2+sqrt(3))))
Evaluating ... ...
h = 26.3344553933821
STEP 3: Convert Result to Output's Unit
26.3344553933821 Meter --> No Conversion Required
FINAL ANSWER
26.3344553933821 26.33446 Meter <-- Height of Elongated Triangular Bipyramid
(Calculation completed in 00.004 seconds)

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Indian Institute of Information Technology (IIIT), Bhopal
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Height of Elongated Triangular Bipyramid Calculators

Height of Elongated Triangular Bipyramid given Surface to Volume Ratio
​ LaTeX ​ Go Height of Elongated Triangular Bipyramid = ((2*sqrt(6))/3+1)*(3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*SA:V of Elongated Triangular Bipyramid)
Height of Elongated Triangular Bipyramid given Volume
​ LaTeX ​ Go Height of Elongated Triangular Bipyramid = ((2*sqrt(6))/3+1)*((12*Volume of Elongated Triangular Bipyramid)/((2*sqrt(2))+(3*sqrt(3))))^(1/3)
Height of Elongated Triangular Bipyramid given Total Surface Area
​ LaTeX ​ Go Height of Elongated Triangular Bipyramid = ((2*sqrt(6))/3+1)*sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3))))
Height of Elongated Triangular Bipyramid
​ LaTeX ​ Go Height of Elongated Triangular Bipyramid = ((2*sqrt(6))/3+1)*Edge Length of Elongated Triangular Bipyramid

Height of Elongated Triangular Bipyramid given Total Surface Area Formula

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

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 Height of Elongated Triangular Bipyramid given Total Surface Area?

Height of Elongated Triangular Bipyramid given Total Surface Area calculator uses Height of Elongated Triangular Bipyramid = ((2*sqrt(6))/3+1)*sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3)))) to calculate the Height of Elongated Triangular Bipyramid, The Height of Elongated Triangular Bipyramid given Total Surface Area formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Triangular Bipyramid and is calculated using the total surface area of the Elongated Triangular Bipyramid. Height of Elongated Triangular Bipyramid is denoted by h symbol.

How to calculate Height of Elongated Triangular Bipyramid given Total Surface Area using this online calculator? To use this online calculator for Height of Elongated Triangular Bipyramid given Total Surface Area, enter TSA of Elongated Triangular Bipyramid (SATotal) and hit the calculate button. Here is how the Height of Elongated Triangular Bipyramid given Total Surface Area calculation can be explained with given input values -> 26.33446 = ((2*sqrt(6))/3+1)*sqrt(560/(3/2*(2+sqrt(3)))).

FAQ

What is Height of Elongated Triangular Bipyramid given Total Surface Area?
The Height of Elongated Triangular Bipyramid given Total Surface Area formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Triangular Bipyramid and is calculated using the total surface area of the Elongated Triangular Bipyramid and is represented as h = ((2*sqrt(6))/3+1)*sqrt(SATotal/(3/2*(2+sqrt(3)))) or Height of Elongated Triangular Bipyramid = ((2*sqrt(6))/3+1)*sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3)))). TSA of Elongated Triangular Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Bipyramid.
How to calculate Height of Elongated Triangular Bipyramid given Total Surface Area?
The Height of Elongated Triangular Bipyramid given Total Surface Area formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Triangular Bipyramid and is calculated using the total surface area of the Elongated Triangular Bipyramid is calculated using Height of Elongated Triangular Bipyramid = ((2*sqrt(6))/3+1)*sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3)))). To calculate Height of Elongated Triangular Bipyramid given Total Surface Area, you need TSA of Elongated Triangular Bipyramid (SATotal). With our tool, you need to enter the respective value for TSA 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 Height of Elongated Triangular Bipyramid?
In this formula, Height of Elongated Triangular Bipyramid uses TSA of Elongated Triangular Bipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Height of Elongated Triangular Bipyramid = ((2*sqrt(6))/3+1)*Edge Length of Elongated Triangular Bipyramid
  • Height of Elongated Triangular Bipyramid = ((2*sqrt(6))/3+1)*((12*Volume of Elongated Triangular Bipyramid)/((2*sqrt(2))+(3*sqrt(3))))^(1/3)
  • Height of Elongated Triangular Bipyramid = ((2*sqrt(6))/3+1)*(3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*SA:V of Elongated Triangular Bipyramid)
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