Volume of Deltoidal Hexecontahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3
V = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*TSA)/(9*sqrt(10*(157+(31*sqrt(5)))))))^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 Deltoidal Hexecontahedron - (Measured in Cubic Meter) - Volume of Deltoidal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron.
Total Surface Area of Deltoidal Hexecontahedron - (Measured in Square Meter) - Total Surface Area of Deltoidal Hexecontahedron is the amount or quantity of two dimensional space covered by the surface of Deltoidal Hexecontahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Deltoidal Hexecontahedron: 3900 Square Meter --> 3900 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*TSA)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3 --> 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*3900)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3
Evaluating ... ...
V = 22273.1848559435
STEP 3: Convert Result to Output's Unit
22273.1848559435 Cubic Meter --> No Conversion Required
FINAL ANSWER
22273.1848559435 22273.18 Cubic Meter <-- Volume of Deltoidal Hexecontahedron
(Calculation completed in 00.004 seconds)

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8 Volume of Deltoidal Hexecontahedron Calculators

Volume of Deltoidal Hexecontahedron given Surface to Volume Ratio
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25)))^3
Volume of Deltoidal Hexecontahedron given Total Surface Area
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3
Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)))^3
Volume of Deltoidal Hexecontahedron given Insphere Radius
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^3
Volume of Deltoidal Hexecontahedron given Symmetry Diagonal
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)))^3
Volume of Deltoidal Hexecontahedron given Midsphere Radius
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))))^3
Volume of Deltoidal Hexecontahedron given Short Edge
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3
Volume of Deltoidal Hexecontahedron
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*Long Edge of Deltoidal Hexecontahedron^3

Volume of Deltoidal Hexecontahedron given Total Surface Area Formula

Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3
V = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*TSA)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

How to Calculate Volume of Deltoidal Hexecontahedron given Total Surface Area?

Volume of Deltoidal Hexecontahedron given Total Surface Area calculator uses Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3 to calculate the Volume of Deltoidal Hexecontahedron, Volume of Deltoidal Hexecontahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using total surface area of Deltoidal Hexecontahedron. Volume of Deltoidal Hexecontahedron is denoted by V symbol.

How to calculate Volume of Deltoidal Hexecontahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Deltoidal Hexecontahedron given Total Surface Area, enter Total Surface Area of Deltoidal Hexecontahedron (TSA) and hit the calculate button. Here is how the Volume of Deltoidal Hexecontahedron given Total Surface Area calculation can be explained with given input values -> 22273.18 = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*3900)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3.

FAQ

What is Volume of Deltoidal Hexecontahedron given Total Surface Area?
Volume of Deltoidal Hexecontahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using total surface area of Deltoidal Hexecontahedron and is represented as V = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*TSA)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3 or Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3. Total Surface Area of Deltoidal Hexecontahedron is the amount or quantity of two dimensional space covered by the surface of Deltoidal Hexecontahedron.
How to calculate Volume of Deltoidal Hexecontahedron given Total Surface Area?
Volume of Deltoidal Hexecontahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using total surface area of Deltoidal Hexecontahedron is calculated using Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3. To calculate Volume of Deltoidal Hexecontahedron given Total Surface Area, you need Total Surface Area of Deltoidal Hexecontahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Deltoidal Hexecontahedron 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 Deltoidal Hexecontahedron?
In this formula, Volume of Deltoidal Hexecontahedron uses Total Surface Area of Deltoidal Hexecontahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*Long Edge of Deltoidal Hexecontahedron^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)))^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)))^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))))^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25)))^3
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