Volume of Triangular Cupola Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Triangular Cupola = 5/(3*sqrt(2))*Edge Length of Triangular Cupola^(3)
V = 5/(3*sqrt(2))*le^(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 Triangular Cupola - (Measured in Cubic Meter) - Volume of Triangular Cupola is the total quantity of three-dimensional space enclosed by the surface of the Triangular Cupola.
Edge Length of Triangular Cupola - (Measured in Meter) - Edge Length of Triangular Cupola is the length of any edge of the Triangular Cupola.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Triangular Cupola: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 5/(3*sqrt(2))*le^(3) --> 5/(3*sqrt(2))*10^(3)
Evaluating ... ...
V = 1178.51130197758
STEP 3: Convert Result to Output's Unit
1178.51130197758 Cubic Meter --> No Conversion Required
FINAL ANSWER
1178.51130197758 1178.511 Cubic Meter <-- Volume of Triangular Cupola
(Calculation completed in 00.004 seconds)

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Volume of Triangular Cupola Calculators

Volume of Triangular Cupola given Height
​ LaTeX ​ Go Volume of Triangular Cupola = 5/(3*sqrt(2))*(Height of Triangular Cupola/sqrt(1-(1/4*cosec(pi/3)^(2))))^3
Volume of Triangular Cupola given Surface to Volume Ratio
​ LaTeX ​ Go Volume of Triangular Cupola = 5/(3*sqrt(2))*(((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*Surface to Volume Ratio of Triangular Cupola))^(3)
Volume of Triangular Cupola given Total Surface Area
​ LaTeX ​ Go Volume of Triangular Cupola = 5/(3*sqrt(2))*(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2))^(3/2)
Volume of Triangular Cupola
​ LaTeX ​ Go Volume of Triangular Cupola = 5/(3*sqrt(2))*Edge Length of Triangular Cupola^(3)

Volume of Triangular Cupola Formula

​LaTeX ​Go
Volume of Triangular Cupola = 5/(3*sqrt(2))*Edge Length of Triangular Cupola^(3)
V = 5/(3*sqrt(2))*le^(3)

What is a Triangular Cupola?

A cupola is a polyhedron with two opposite polygons, of which one has twice as many vertices as the other and with alternating triangles and quadrangles as side faces. When all faces of the cupola are regular, then the cupola itself is regular and is a Johnson solid. There are three regular cupolae, the triangular, the square, and the pentagonal cupola. A Triangular Cupola has 8 faces, 15 edges, and 9 vertices. Its top surface is an equilateral triangle and its base surface is a regular hexagon.

How to Calculate Volume of Triangular Cupola?

Volume of Triangular Cupola calculator uses Volume of Triangular Cupola = 5/(3*sqrt(2))*Edge Length of Triangular Cupola^(3) to calculate the Volume of Triangular Cupola, The Volume of Triangular Cupola formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Cupola. Volume of Triangular Cupola is denoted by V symbol.

How to calculate Volume of Triangular Cupola using this online calculator? To use this online calculator for Volume of Triangular Cupola, enter Edge Length of Triangular Cupola (le) and hit the calculate button. Here is how the Volume of Triangular Cupola calculation can be explained with given input values -> 1178.511 = 5/(3*sqrt(2))*10^(3).

FAQ

What is Volume of Triangular Cupola?
The Volume of Triangular Cupola formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Cupola and is represented as V = 5/(3*sqrt(2))*le^(3) or Volume of Triangular Cupola = 5/(3*sqrt(2))*Edge Length of Triangular Cupola^(3). Edge Length of Triangular Cupola is the length of any edge of the Triangular Cupola.
How to calculate Volume of Triangular Cupola?
The Volume of Triangular Cupola formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Cupola is calculated using Volume of Triangular Cupola = 5/(3*sqrt(2))*Edge Length of Triangular Cupola^(3). To calculate Volume of Triangular Cupola, you need Edge Length of Triangular Cupola (le). With our tool, you need to enter the respective value for Edge Length of Triangular Cupola 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 Triangular Cupola?
In this formula, Volume of Triangular Cupola uses Edge Length of Triangular Cupola. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Triangular Cupola = 5/(3*sqrt(2))*(Height of Triangular Cupola/sqrt(1-(1/4*cosec(pi/3)^(2))))^3
  • Volume of Triangular Cupola = 5/(3*sqrt(2))*(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2))^(3/2)
  • Volume of Triangular Cupola = 5/(3*sqrt(2))*(((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*Surface to Volume Ratio of Triangular Cupola))^(3)
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