Volume of Sphenocorona given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(Total Surface Area of Sphenocorona/(2+(3*sqrt(3)))))^3
V = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(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 Sphenocorona - (Measured in Cubic Meter) - Volume of Sphenocorona is the total quantity of three-dimensional space enclosed by the surface of the Sphenocorona.
Total Surface Area of Sphenocorona - (Measured in Square Meter) - Total Surface Area of Sphenocorona is the total amount of two-dimensional space occupied by all the faces of the Sphenocorona.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Sphenocorona: 720 Square Meter --> 720 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(TSA/(2+(3*sqrt(3)))))^3 --> 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(720/(2+(3*sqrt(3)))))^3
Evaluating ... ...
V = 1516.56712531307
STEP 3: Convert Result to Output's Unit
1516.56712531307 Cubic Meter --> No Conversion Required
FINAL ANSWER
1516.56712531307 1516.567 Cubic Meter <-- Volume of Sphenocorona
(Calculation completed in 00.004 seconds)

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3 Volume of Sphenocorona Calculators

Volume of Sphenocorona given Surface to Volume Ratio
Go Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona))^3
Volume of Sphenocorona given Total Surface Area
Go Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(Total Surface Area of Sphenocorona/(2+(3*sqrt(3)))))^3
Volume of Sphenocorona
Go Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Edge Length of Sphenocorona^3

Volume of Sphenocorona given Total Surface Area Formula

Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(Total Surface Area of Sphenocorona/(2+(3*sqrt(3)))))^3
V = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(TSA/(2+(3*sqrt(3)))))^3

What is a Sphenocorona?

A Sphenocorona is a closed polyhedron, which is the Johnson solid generally denoted by J86. It consists of 14 faces which include 12 (2+2+4+4) equilateral triangles and 2 squares. Also, It has 22 edges and 10 vertices.

How to Calculate Volume of Sphenocorona given Total Surface Area?

Volume of Sphenocorona given Total Surface Area calculator uses Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(Total Surface Area of Sphenocorona/(2+(3*sqrt(3)))))^3 to calculate the Volume of Sphenocorona, The Volume of Sphenocorona given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Sphenocorona and is calculated using the total surface area of the Sphenocorona. Volume of Sphenocorona is denoted by V symbol.

How to calculate Volume of Sphenocorona given Total Surface Area using this online calculator? To use this online calculator for Volume of Sphenocorona given Total Surface Area, enter Total Surface Area of Sphenocorona (TSA) and hit the calculate button. Here is how the Volume of Sphenocorona given Total Surface Area calculation can be explained with given input values -> 1516.567 = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(720/(2+(3*sqrt(3)))))^3.

FAQ

What is Volume of Sphenocorona given Total Surface Area?
The Volume of Sphenocorona given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Sphenocorona and is calculated using the total surface area of the Sphenocorona and is represented as V = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(TSA/(2+(3*sqrt(3)))))^3 or Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(Total Surface Area of Sphenocorona/(2+(3*sqrt(3)))))^3. Total Surface Area of Sphenocorona is the total amount of two-dimensional space occupied by all the faces of the Sphenocorona.
How to calculate Volume of Sphenocorona given Total Surface Area?
The Volume of Sphenocorona given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Sphenocorona and is calculated using the total surface area of the Sphenocorona is calculated using Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(Total Surface Area of Sphenocorona/(2+(3*sqrt(3)))))^3. To calculate Volume of Sphenocorona given Total Surface Area, you need Total Surface Area of Sphenocorona (TSA). With our tool, you need to enter the respective value for Total Surface Area of Sphenocorona 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 Sphenocorona?
In this formula, Volume of Sphenocorona uses Total Surface Area of Sphenocorona. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Edge Length of Sphenocorona^3
  • Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona))^3
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