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edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V) Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = (4*sqrt(11))/(surface to volume ratio*sqrt(2))
a = (4*sqrt(11))/(r*sqrt(2))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
surface to volume ratio - surface to volume ratio is fraction of surface to volume. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
surface to volume ratio: 0.5 Hundred --> 0.5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = (4*sqrt(11))/(r*sqrt(2)) --> (4*sqrt(11))/(0.5*sqrt(2))
Evaluating ... ...
a = 18.7616630392937
STEP 3: Convert Result to Output's Unit
18.7616630392937 Meter --> No Conversion Required
FINAL ANSWER
18.7616630392937 Meter <-- Side A
(Calculation completed in 00.017 seconds)

11 Other formulas that you can solve using the same Inputs

volume of Rhombic Dodecahedron given Surface-to-volume ratio
volume = (16/9)*sqrt(3)*((9*sqrt(2))/(2*sqrt(3)*surface to volume ratio))^3 Go
Volume of triakis tetrahedron given surface-volume-ratio
volume = (3/20)*sqrt(2)*((4*sqrt(11))/(surface to volume ratio*sqrt(2)))^3 Go
side given Surface-to-volume ratio (A/V) of Rhombic Triacontahedron
side = (3*sqrt(5))/(surface to volume ratio*(sqrt(5+(2*sqrt(5))))) Go
height of triakis tetrahedron given surface-volime-ratio
height = (3/5)*(sqrt(6))*(4/surface to volume ratio)*(sqrt(11/2)) Go
edge length of Rhombic Dodecahedron given Surface-to-volume ratio
side_a = (9*sqrt(2))/(2*sqrt(3)*surface to volume ratio) Go
Area of triakis tetrahedron given surface-volume-ratio
area = (3/5)*(sqrt(11/2))*(4/surface to volume ratio)^2 Go
Area of Rhombic Dodecahedron given Surface-to-volume ratio
area = (108*sqrt(2))/((surface to volume ratio)^2) Go
Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio
radius = (6/sqrt(3))*(1/surface to volume ratio) Go
Midsphere radius of triakis tetrahedron given surface-volume-ratio
radius = sqrt(11)/surface to volume ratio Go
Insphere radius of Rhombic Dodecahedron given Surface-to-volume ratio
radius = 3/surface to volume ratio Go
Insphere radius of triakis tetrahedron given surface-volume-ratio
radius = 3/surface to volume ratio Go

11 Other formulas that calculate the same Output

Side a of a triangle
side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)) Go
Side of Rhombus when area and angle are given
side_a = sqrt(Area)/sqrt(sin(Angle Between Sides)) Go
Side a of a triangle given side b, angles A and B
side_a = (Side B*sin(Angle A))/sin(Angle B) Go
Side a of a parallelogram when diagonal and the other side is given
side_a = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side B)^2)/2 Go
Side of a Kite when other side and area are given
side_a = (Area*cosec(Angle Between Sides))/Side B Go
Side of a Rhombus when Diagonals are given
side_a = sqrt((Diagonal 1)^2+(Diagonal 2)^2)/2 Go
Side 'a' of a parallelogram if angle related to the side and height is known
side_a = Height of column2/sin(Angle A) Go
Side a of the parallelogram when the height and sine of an angle are given
side_a = Height/sin(Theta) Go
Side of a Kite when other side and perimeter are given
side_a = (Perimeter/2)-Side B Go
Side a of the parallelogram when the area and height are given
side_a = Area/Height Go
Side of Rhombus when area and height are given
side_a = Area/Height Go

edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V) Formula

side_a = (4*sqrt(11))/(surface to volume ratio*sqrt(2))
a = (4*sqrt(11))/(r*sqrt(2))

What is triakis tetrahedron?

In geometry, a triakis tetrahedron (or kistetrahedron[1]) is a Catalan solid with 12 faces. Each Catalan solid is the dual of an Archimedean solid. The dual of the triakis tetrahedron is the truncated tetrahedron. The triakis tetrahedron can be seen as a tetrahedron with a triangular pyramid added to each face; that is, it is the Kleetope of the tetrahedron. It is very similar to the net for the 5-cell, as the net for a tetrahedron is a triangle with other triangles added to each edge, the net for the 5-cell a tetrahedron with pyramids attached to each face.

How to Calculate edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V)?

edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V) calculator uses side_a = (4*sqrt(11))/(surface to volume ratio*sqrt(2)) to calculate the Side A, The edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V) formula is defined as a straight line connecting two adjacent vertices of tetrahedron of triakis tetrahedron. Side A and is denoted by a symbol.

How to calculate edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V) using this online calculator? To use this online calculator for edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V), enter surface to volume ratio (r) and hit the calculate button. Here is how the edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V) calculation can be explained with given input values -> 18.76166 = (4*sqrt(11))/(0.5*sqrt(2)).

FAQ

What is edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V)?
The edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V) formula is defined as a straight line connecting two adjacent vertices of tetrahedron of triakis tetrahedron and is represented as a = (4*sqrt(11))/(r*sqrt(2)) or side_a = (4*sqrt(11))/(surface to volume ratio*sqrt(2)). surface to volume ratio is fraction of surface to volume.
How to calculate edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V)?
The edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V) formula is defined as a straight line connecting two adjacent vertices of tetrahedron of triakis tetrahedron is calculated using side_a = (4*sqrt(11))/(surface to volume ratio*sqrt(2)). To calculate edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V), you need surface to volume ratio (r). With our tool, you need to enter the respective value for surface to volume ratio 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 Side A?
In this formula, Side A uses surface to volume ratio. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A))
  • side_a = (Area*cosec(Angle Between Sides))/Side B
  • side_a = (Perimeter/2)-Side B
  • side_a = sqrt((Diagonal 1)^2+(Diagonal 2)^2)/2
  • side_a = Area/Height
  • side_a = sqrt(Area)/sqrt(sin(Angle Between Sides))
  • side_a = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side B)^2)/2
  • side_a = Height/sin(Theta)
  • side_a = Area/Height
  • side_a = (Side B*sin(Angle A))/sin(Angle B)
  • side_a = Height of column2/sin(Angle A)
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