Volume of Disheptahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Disheptahedron = 5/3*sqrt(2)*(sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))))^3
V = 5/3*sqrt(2)*(sqrt(TSA/(2*(3+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 Disheptahedron - (Measured in Cubic Meter) - Volume of Disheptahedron is the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron.
Total Surface Area of Disheptahedron - (Measured in Square Meter) - Total Surface Area of Disheptahedron is the total amount of two-dimensional space occupied by all the faces of the Disheptahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Disheptahedron: 950 Square Meter --> 950 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 5/3*sqrt(2)*(sqrt(TSA/(2*(3+sqrt(3)))))^3 --> 5/3*sqrt(2)*(sqrt(950/(2*(3+sqrt(3)))))^3
Evaluating ... ...
V = 2370.4459843664
STEP 3: Convert Result to Output's Unit
2370.4459843664 Cubic Meter --> No Conversion Required
FINAL ANSWER
2370.4459843664 2370.446 Cubic Meter <-- Volume of Disheptahedron
(Calculation completed in 00.004 seconds)

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Volume of Disheptahedron Calculators

Volume of Disheptahedron given Total Surface Area
​ LaTeX ​ Go Volume of Disheptahedron = 5/3*sqrt(2)*(sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))))^3
Volume of Disheptahedron given Midsphere Radius
​ LaTeX ​ Go Volume of Disheptahedron = 5/3*sqrt(2)*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^3
Volume of Disheptahedron given Circumsphere Radius
​ LaTeX ​ Go Volume of Disheptahedron = 5/3*sqrt(2)*Circumsphere Radius of Disheptahedron^3
Volume of Disheptahedron
​ LaTeX ​ Go Volume of Disheptahedron = 5/3*sqrt(2)*Edge Length of Disheptahedron^3

Volume of Disheptahedron given Total Surface Area Formula

​LaTeX ​Go
Volume of Disheptahedron = 5/3*sqrt(2)*(sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))))^3
V = 5/3*sqrt(2)*(sqrt(TSA/(2*(3+sqrt(3)))))^3

What is a Disheptahedron?

A Disheptahedron is a symmetric, closed, and convex polyhedron, which is the Johnson solid generally denoted by J27. It is also called anticuboctahedron or twisted cuboctahedron or triangular orthobicupola. It has 14 faces which include 8 equilateral triangular faces and 6 square faces. Also, It has 24 edges and 12 vertices.

How to Calculate Volume of Disheptahedron given Total Surface Area?

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

How to calculate Volume of Disheptahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Disheptahedron given Total Surface Area, enter Total Surface Area of Disheptahedron (TSA) and hit the calculate button. Here is how the Volume of Disheptahedron given Total Surface Area calculation can be explained with given input values -> 2370.446 = 5/3*sqrt(2)*(sqrt(950/(2*(3+sqrt(3)))))^3.

FAQ

What is Volume of Disheptahedron given Total Surface Area?
The Volume of Disheptahedron given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron and is calculated using the total surface area of the Disheptahedron and is represented as V = 5/3*sqrt(2)*(sqrt(TSA/(2*(3+sqrt(3)))))^3 or Volume of Disheptahedron = 5/3*sqrt(2)*(sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))))^3. Total Surface Area of Disheptahedron is the total amount of two-dimensional space occupied by all the faces of the Disheptahedron.
How to calculate Volume of Disheptahedron given Total Surface Area?
The Volume of Disheptahedron given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron and is calculated using the total surface area of the Disheptahedron is calculated using Volume of Disheptahedron = 5/3*sqrt(2)*(sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))))^3. To calculate Volume of Disheptahedron given Total Surface Area, you need Total Surface Area of Disheptahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Disheptahedron 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 Disheptahedron?
In this formula, Volume of Disheptahedron uses Total Surface Area of Disheptahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Disheptahedron = 5/3*sqrt(2)*Edge Length of Disheptahedron^3
  • Volume of Disheptahedron = 5/3*sqrt(2)*Circumsphere Radius of Disheptahedron^3
  • Volume of Disheptahedron = 5/3*sqrt(2)*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^3
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