Volume of Tetrakis Hexahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Tetrakis Hexahedron = 3/2*(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))^(3/2)
V = 3/2*(TSA/(3*sqrt(5)))^(3/2)
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 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.
Total Surface Area of Tetrakis Hexahedron - (Measured in Square Meter) - Total Surface Area of Tetrakis Hexahedron is the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Tetrakis Hexahedron: 670 Square Meter --> 670 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 3/2*(TSA/(3*sqrt(5)))^(3/2) --> 3/2*(670/(3*sqrt(5)))^(3/2)
Evaluating ... ...
V = 1497.2491588652
STEP 3: Convert Result to Output's Unit
1497.2491588652 Cubic Meter --> No Conversion Required
FINAL ANSWER
1497.2491588652 1497.249 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 Total Surface Area Formula

Volume of Tetrakis Hexahedron = 3/2*(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))^(3/2)
V = 3/2*(TSA/(3*sqrt(5)))^(3/2)

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 Total Surface Area?

Volume of Tetrakis Hexahedron given Total Surface Area calculator uses Volume of Tetrakis Hexahedron = 3/2*(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))^(3/2) to calculate the Volume of Tetrakis Hexahedron, The Volume of Tetrakis Hexahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using total surface area of Tetrakis Hexahedron. Volume of Tetrakis Hexahedron is denoted by V symbol.

How to calculate Volume of Tetrakis Hexahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Tetrakis Hexahedron given Total Surface Area, enter Total Surface Area of Tetrakis Hexahedron (TSA) and hit the calculate button. Here is how the Volume of Tetrakis Hexahedron given Total Surface Area calculation can be explained with given input values -> 1497.249 = 3/2*(670/(3*sqrt(5)))^(3/2).

FAQ

What is Volume of Tetrakis Hexahedron given Total Surface Area?
The Volume of Tetrakis Hexahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using total surface area of Tetrakis Hexahedron and is represented as V = 3/2*(TSA/(3*sqrt(5)))^(3/2) or Volume of Tetrakis Hexahedron = 3/2*(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))^(3/2). Total Surface Area of Tetrakis Hexahedron is the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron.
How to calculate Volume of Tetrakis Hexahedron given Total Surface Area?
The Volume of Tetrakis Hexahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using total surface area of Tetrakis Hexahedron is calculated using Volume of Tetrakis Hexahedron = 3/2*(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))^(3/2). To calculate Volume of Tetrakis Hexahedron given Total Surface Area, you need Total Surface Area of Tetrakis Hexahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area 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*((2*Height of Tetrakis Hexahedron)/3)^3
  • 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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