Volume of Elongated Square Bipyramid given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*(Height of Elongated Square Bipyramid/(sqrt(2)+1))^3
V = (1+sqrt(2)/3)*(h/(sqrt(2)+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 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.
Height of Elongated Square Bipyramid - (Measured in Meter) - Height of Elongated Square Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Square Bipyramid.
STEP 1: Convert Input(s) to Base Unit
Height of Elongated Square Bipyramid: 24 Meter --> 24 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (1+sqrt(2)/3)*(h/(sqrt(2)+1))^3 --> (1+sqrt(2)/3)*(24/(sqrt(2)+1))^3
Evaluating ... ...
V = 1445.56876332178
STEP 3: Convert Result to Output's Unit
1445.56876332178 Cubic Meter --> No Conversion Required
FINAL ANSWER
1445.56876332178 1445.569 Cubic Meter <-- Volume 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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Volume of Elongated Square Bipyramid Calculators

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

Volume of Elongated Square Bipyramid given Height Formula

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

Volume of Elongated Square Bipyramid given Height calculator uses Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*(Height of Elongated Square Bipyramid/(sqrt(2)+1))^3 to calculate the Volume of Elongated Square Bipyramid, The Volume of Elongated Square Bipyramid given Height 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 height of the Elongated Square Bipyramid. Volume of Elongated Square Bipyramid is denoted by V symbol.

How to calculate Volume of Elongated Square Bipyramid given Height using this online calculator? To use this online calculator for Volume of Elongated Square Bipyramid given Height, enter Height of Elongated Square Bipyramid (h) and hit the calculate button. Here is how the Volume of Elongated Square Bipyramid given Height calculation can be explained with given input values -> 1445.569 = (1+sqrt(2)/3)*(24/(sqrt(2)+1))^3.

FAQ

What is Volume of Elongated Square Bipyramid given Height?
The Volume of Elongated Square Bipyramid given Height 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 height of the Elongated Square Bipyramid and is represented as V = (1+sqrt(2)/3)*(h/(sqrt(2)+1))^3 or Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*(Height of Elongated Square Bipyramid/(sqrt(2)+1))^3. Height of Elongated Square Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Square Bipyramid.
How to calculate Volume of Elongated Square Bipyramid given Height?
The Volume of Elongated Square Bipyramid given Height 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 height of the Elongated Square Bipyramid is calculated using Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*(Height of Elongated Square Bipyramid/(sqrt(2)+1))^3. To calculate Volume of Elongated Square Bipyramid given Height, you need Height of Elongated Square Bipyramid (h). With our tool, you need to enter the respective value for Height 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 Height 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)*(sqrt(Total Surface Area of Elongated Square Bipyramid/(4+2*sqrt(3))))^3
  • Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*((4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid))^3
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