Volume of Tetrakis Hexahedron given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Tetrakis Hexahedron = 3/2*((2*Height of Tetrakis Hexahedron)/3)^3
V = 3/2*((2*h)/3)^3
This formula uses 2 Variables
Variables Used
Volume of Tetrakis Hexahedron - (Measured in Cubic Meter) - Volume of Tetrakis Hexahedron is the quantity of three-dimensional space enclosed by the entire surface of the Tetrakis Hexahedron.
Height of Tetrakis Hexahedron - (Measured in Meter) - Height of Tetrakis Hexahedron is the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex.
STEP 1: Convert Input(s) to Base Unit
Height of Tetrakis Hexahedron: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 3/2*((2*h)/3)^3 --> 3/2*((2*15)/3)^3
Evaluating ... ...
V = 1500
STEP 3: Convert Result to Output's Unit
1500 Cubic Meter --> No Conversion Required
FINAL ANSWER
1500 Cubic Meter <-- Volume of Tetrakis Hexahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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7 Volume of Tetrakis Hexahedron Calculators

Volume of Tetrakis Hexahedron given Surface to Volume Ratio
Go Volume of Tetrakis Hexahedron = 3/2*((2*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron)^3
Volume of Tetrakis Hexahedron given Total Surface Area
Go Volume of Tetrakis Hexahedron = 3/2*(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))^(3/2)
Volume of Tetrakis Hexahedron given Insphere Radius
Go Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3
Volume of Tetrakis Hexahedron given Midsphere Radius
Go Volume of Tetrakis Hexahedron = 3/2*((2*Midsphere Radius of Tetrakis Hexahedron)/(sqrt(2)))^3
Volume of Tetrakis Hexahedron given Pyramidal Edge Length
Go Volume of Tetrakis Hexahedron = 3/2*((4*Pyramidal Edge Length of Tetrakis Hexahedron)/3)^3
Volume of Tetrakis Hexahedron
Go Volume of Tetrakis Hexahedron = 3/2*Cubical Edge Length of Tetrakis Hexahedron^3
Volume of Tetrakis Hexahedron given Height
Go Volume of Tetrakis Hexahedron = 3/2*((2*Height of Tetrakis Hexahedron)/3)^3

Volume of Tetrakis Hexahedron given Height Formula

Volume of Tetrakis Hexahedron = 3/2*((2*Height of Tetrakis Hexahedron)/3)^3
V = 3/2*((2*h)/3)^3

What is Tetrakis Hexahedron?

In geometry, a Tetrakis Hexahedron (also known as a tetrahexahedron, hextetrahedron, tetrakis cube, and kiscube) is a Catalan solid. Its dual is the truncated octahedron, an Archimedean solid. It can be called a disdyakis hexahedron or hexakis tetrahedron as the dual of an omnitruncated tetrahedron, and as the barycentric subdivision of a tetrahedron. It has 24 faces, 36 edges, 14 vertices.

How to Calculate Volume of Tetrakis Hexahedron given Height?

Volume of Tetrakis Hexahedron given Height calculator uses Volume of Tetrakis Hexahedron = 3/2*((2*Height of Tetrakis Hexahedron)/3)^3 to calculate the Volume of Tetrakis Hexahedron, Volume of Tetrakis Hexahedron given Height formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using height of Tetrakis Hexahedron. Volume of Tetrakis Hexahedron is denoted by V symbol.

How to calculate Volume of Tetrakis Hexahedron given Height using this online calculator? To use this online calculator for Volume of Tetrakis Hexahedron given Height, enter Height of Tetrakis Hexahedron (h) and hit the calculate button. Here is how the Volume of Tetrakis Hexahedron given Height calculation can be explained with given input values -> 1500 = 3/2*((2*15)/3)^3.

FAQ

What is Volume of Tetrakis Hexahedron given Height?
Volume of Tetrakis Hexahedron given Height formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using height of Tetrakis Hexahedron and is represented as V = 3/2*((2*h)/3)^3 or Volume of Tetrakis Hexahedron = 3/2*((2*Height of Tetrakis Hexahedron)/3)^3. Height of Tetrakis Hexahedron is the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex.
How to calculate Volume of Tetrakis Hexahedron given Height?
Volume of Tetrakis Hexahedron given Height formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using height of Tetrakis Hexahedron is calculated using Volume of Tetrakis Hexahedron = 3/2*((2*Height of Tetrakis Hexahedron)/3)^3. To calculate Volume of Tetrakis Hexahedron given Height, you need Height of Tetrakis Hexahedron (h). With our tool, you need to enter the respective value for Height of Tetrakis Hexahedron 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 Tetrakis Hexahedron?
In this formula, Volume of Tetrakis Hexahedron uses Height of Tetrakis Hexahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Volume of Tetrakis Hexahedron = 3/2*((2*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron)^3
  • Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3
  • Volume of Tetrakis Hexahedron = 3/2*((2*Midsphere Radius of Tetrakis Hexahedron)/(sqrt(2)))^3
  • Volume of Tetrakis Hexahedron = 3/2*(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))^(3/2)
  • Volume of Tetrakis Hexahedron = 3/2*((4*Pyramidal Edge Length of Tetrakis Hexahedron)/3)^3
  • Volume of Tetrakis Hexahedron = 3/2*Cubical Edge Length of Tetrakis Hexahedron^3
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