Volume of Gyroelongated Square Dipyramid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*Edge Length of Gyroelongated Square Dipyramid^3
V = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*le^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 Gyroelongated Square Dipyramid - (Measured in Cubic Meter) - Volume of Gyroelongated Square Dipyramid is the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Dipyramid.
Edge Length of Gyroelongated Square Dipyramid - (Measured in Meter) - Edge Length of Gyroelongated Square Dipyramid is the length of any edge of the Gyroelongated Square Dipyramid.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Gyroelongated Square Dipyramid: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*le^3 --> (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*10^3
Evaluating ... ...
V = 1428.40450262775
STEP 3: Convert Result to Output's Unit
1428.40450262775 Cubic Meter --> No Conversion Required
FINAL ANSWER
1428.40450262775 1428.405 Cubic Meter <-- Volume of Gyroelongated Square Dipyramid
(Calculation completed in 00.004 seconds)

Credits

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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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4 Volume of Gyroelongated Square Dipyramid Calculators

Volume of Gyroelongated Square Dipyramid given Surface to Volume Ratio
Go Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*((12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*SA:V of Gyroelongated Square Dipyramid))^3
Volume of Gyroelongated Square Dipyramid given Height
Go Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)))^3
Volume of Gyroelongated Square Dipyramid given Total Surface Area
Go Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))^3
Volume of Gyroelongated Square Dipyramid
Go Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*Edge Length of Gyroelongated Square Dipyramid^3

Volume of Gyroelongated Square Dipyramid Formula

Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*Edge Length of Gyroelongated Square Dipyramid^3
V = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*le^3

What is a Gyroelongated Square Dipyramid?

The Gyroelongated Square Dipyramid is a regular johnson square pyramid with a matching antiprism attached to the base and another regular square pyramid to the other side, which is the Johnson solid generally denoted by J17. It consists of 16 equilateral triangular faces. Also, It has 24 edges and 10 vertices.

How to Calculate Volume of Gyroelongated Square Dipyramid?

Volume of Gyroelongated Square Dipyramid calculator uses Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*Edge Length of Gyroelongated Square Dipyramid^3 to calculate the Volume of Gyroelongated Square Dipyramid, The Volume of Gyroelongated Square Dipyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Dipyramid. Volume of Gyroelongated Square Dipyramid is denoted by V symbol.

How to calculate Volume of Gyroelongated Square Dipyramid using this online calculator? To use this online calculator for Volume of Gyroelongated Square Dipyramid, enter Edge Length of Gyroelongated Square Dipyramid (le) and hit the calculate button. Here is how the Volume of Gyroelongated Square Dipyramid calculation can be explained with given input values -> 1428.405 = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*10^3.

FAQ

What is Volume of Gyroelongated Square Dipyramid?
The Volume of Gyroelongated Square Dipyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Dipyramid and is represented as V = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*le^3 or Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*Edge Length of Gyroelongated Square Dipyramid^3. Edge Length of Gyroelongated Square Dipyramid is the length of any edge of the Gyroelongated Square Dipyramid.
How to calculate Volume of Gyroelongated Square Dipyramid?
The Volume of Gyroelongated Square Dipyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Dipyramid is calculated using Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*Edge Length of Gyroelongated Square Dipyramid^3. To calculate Volume of Gyroelongated Square Dipyramid, you need Edge Length of Gyroelongated Square Dipyramid (le). With our tool, you need to enter the respective value for Edge Length of Gyroelongated Square Dipyramid 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 Gyroelongated Square Dipyramid?
In this formula, Volume of Gyroelongated Square Dipyramid uses Edge Length of Gyroelongated Square Dipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)))^3
  • Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))^3
  • Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*((12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*SA:V of Gyroelongated Square Dipyramid))^3
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