Volume of Deltoidal Hexecontahedron given Total Surface Area Calculator

✖Total Surface Area of Deltoidal Hexecontahedron is the amount or quantity of two dimensional space covered by the surface of Deltoidal Hexecontahedron.ⓘ Total Surface Area of Deltoidal Hexecontahedron [TSA]

+10%

-10%

✖Volume of Deltoidal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron.ⓘ Volume of Deltoidal Hexecontahedron given Total Surface Area [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

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 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Deltoidal Hexecontahedron » Volume of Deltoidal Hexecontahedron » Volume of Deltoidal Hexecontahedron given Total Surface Area

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Volume of Deltoidal Hexecontahedron Calculators

Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal

LaTeX 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 Symmetry Diagonal

LaTeX 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 Short Edge

LaTeX 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

LaTeX 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

LaTeX Go

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 3 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

Home

FREE PDFs

🔍 Search