Volume of Elongated Triangular Bipyramid given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/(((2*sqrt(6))/3)+1))^3
V = ((2*sqrt(2))+(3*sqrt(3)))/12*(h/(((2*sqrt(6))/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
Volume of Elongated Triangular Bipyramid - (Measured in Cubic Meter) - Volume of Elongated Triangular Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Bipyramid.
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.
STEP 1: Convert Input(s) to Base Unit
Height of Elongated Triangular Bipyramid: 26 Meter --> 26 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = ((2*sqrt(2))+(3*sqrt(3)))/12*(h/(((2*sqrt(6))/3)+1))^3 --> ((2*sqrt(2))+(3*sqrt(3)))/12*(26/(((2*sqrt(6))/3)+1))^3
Evaluating ... ...
V = 643.890312133876
STEP 3: Convert Result to Output's Unit
643.890312133876 Cubic Meter --> No Conversion Required
FINAL ANSWER
643.890312133876 643.8903 Cubic Meter <-- Volume of Elongated Triangular Bipyramid
(Calculation completed in 00.004 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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Volume of Elongated Triangular Bipyramid Calculators

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

Volume of Elongated Triangular Bipyramid given Height Formula

​LaTeX ​Go
Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/(((2*sqrt(6))/3)+1))^3
V = ((2*sqrt(2))+(3*sqrt(3)))/12*(h/(((2*sqrt(6))/3)+1))^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 Volume of Elongated Triangular Bipyramid given Height?

Volume of Elongated Triangular Bipyramid given Height calculator uses Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/(((2*sqrt(6))/3)+1))^3 to calculate the Volume of Elongated Triangular Bipyramid, The Volume of Elongated Triangular Bipyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Bipyramid and is calculated using the height of the Elongated Triangular Bipyramid. Volume of Elongated Triangular Bipyramid is denoted by V symbol.

How to calculate Volume of Elongated Triangular Bipyramid given Height using this online calculator? To use this online calculator for Volume of Elongated Triangular Bipyramid given Height, enter Height of Elongated Triangular Bipyramid (h) and hit the calculate button. Here is how the Volume of Elongated Triangular Bipyramid given Height calculation can be explained with given input values -> 643.8903 = ((2*sqrt(2))+(3*sqrt(3)))/12*(26/(((2*sqrt(6))/3)+1))^3.

FAQ

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