Volume of Elongated Dodecahedron given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Elongated Dodecahedron = 6*(Height of Elongated Dodecahedron/sqrt(3))^3
V = 6*(h/sqrt(3))^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 Dodecahedron - (Measured in Cubic Meter) - Volume of Elongated Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron.
Height of Elongated Dodecahedron - (Measured in Meter) - Height of Elongated Dodecahedron is the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron.
STEP 1: Convert Input(s) to Base Unit
Height of Elongated Dodecahedron: 17 Meter --> 17 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 6*(h/sqrt(3))^3 --> 6*(17/sqrt(3))^3
Evaluating ... ...
V = 5673.04374505726
STEP 3: Convert Result to Output's Unit
5673.04374505726 Cubic Meter --> No Conversion Required
FINAL ANSWER
5673.04374505726 5673.044 Cubic Meter <-- Volume of Elongated Dodecahedron
(Calculation completed in 00.004 seconds)

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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Volume of Elongated Dodecahedron Calculators

Volume of Elongated Dodecahedron given Total Surface Area
​ LaTeX ​ Go Volume of Elongated Dodecahedron = 6*(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))^(3/2)
Volume of Elongated Dodecahedron given Height
​ LaTeX ​ Go Volume of Elongated Dodecahedron = 6*(Height of Elongated Dodecahedron/sqrt(3))^3
Volume of Elongated Dodecahedron
​ LaTeX ​ Go Volume of Elongated Dodecahedron = 6*Edge Length of Elongated Dodecahedron^3
Volume of Elongated Dodecahedron given Width
​ LaTeX ​ Go Volume of Elongated Dodecahedron = 6*(Width of Elongated Dodecahedron/3)^3

Volume of Elongated Dodecahedron given Height Formula

​LaTeX ​Go
Volume of Elongated Dodecahedron = 6*(Height of Elongated Dodecahedron/sqrt(3))^3
V = 6*(h/sqrt(3))^3

What is Elongated Dodecahedron?

In geometry, the elongated dodecahedron, extended rhombic dodecahedron, rhombo-hexagonal dodecahedron or hexarhombic dodecahedron is a convex dodecahedron with 8 rhombic and 4 hexagonal faces. The hexagons can be made equilateral, or regular depending on the shape of the rhombi.

How to Calculate Volume of Elongated Dodecahedron given Height?

Volume of Elongated Dodecahedron given Height calculator uses Volume of Elongated Dodecahedron = 6*(Height of Elongated Dodecahedron/sqrt(3))^3 to calculate the Volume of Elongated Dodecahedron, Volume of Elongated Dodecahedron given Height formula is defined as the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron, calculated using height. Volume of Elongated Dodecahedron is denoted by V symbol.

How to calculate Volume of Elongated Dodecahedron given Height using this online calculator? To use this online calculator for Volume of Elongated Dodecahedron given Height, enter Height of Elongated Dodecahedron (h) and hit the calculate button. Here is how the Volume of Elongated Dodecahedron given Height calculation can be explained with given input values -> 5673.044 = 6*(17/sqrt(3))^3.

FAQ

What is Volume of Elongated Dodecahedron given Height?
Volume of Elongated Dodecahedron given Height formula is defined as the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron, calculated using height and is represented as V = 6*(h/sqrt(3))^3 or Volume of Elongated Dodecahedron = 6*(Height of Elongated Dodecahedron/sqrt(3))^3. Height of Elongated Dodecahedron is the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron.
How to calculate Volume of Elongated Dodecahedron given Height?
Volume of Elongated Dodecahedron given Height formula is defined as the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron, calculated using height is calculated using Volume of Elongated Dodecahedron = 6*(Height of Elongated Dodecahedron/sqrt(3))^3. To calculate Volume of Elongated Dodecahedron given Height, you need Height of Elongated Dodecahedron (h). With our tool, you need to enter the respective value for Height of Elongated Dodecahedron 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 Dodecahedron?
In this formula, Volume of Elongated Dodecahedron uses Height of Elongated Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Elongated Dodecahedron = 6*Edge Length of Elongated Dodecahedron^3
  • Volume of Elongated Dodecahedron = 6*(Width of Elongated Dodecahedron/3)^3
  • Volume of Elongated Dodecahedron = 6*(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))^(3/2)
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