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Surface-to-volume ratio of pentagonal trapezohedron given long edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_to_volume_ratio = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Side B/(((sqrt(5)+1)/2))))
r = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(b/(((sqrt(5)+1)/2))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side B - Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side B: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(b/(((sqrt(5)+1)/2)))) --> ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(7/(((sqrt(5)+1)/2))))
Evaluating ... ...
r = 1.00763186107281
STEP 3: Convert Result to Output's Unit
1.00763186107281 Hundred --> No Conversion Required
FINAL ANSWER
1.00763186107281 Hundred <-- surface to volume ratio
(Calculation completed in 00.015 seconds)

11 Other formulas that you can solve using the same Inputs

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Radius of Inscribed Circle
radius_of_inscribed_circle = sqrt((Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)/Semiperimeter Of Triangle ) Go
Area of Triangle when semiperimeter is given
area_of_triangle = sqrt(Semiperimeter Of Triangle *(Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)) Go
Side a of a triangle
side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)) Go
side c of a triangle
side_c = sqrt(Side B^2+Side A^2-2*Side A*Side B*cos(Angle C)) Go
Perimeter of a Right Angled Triangle
perimeter = Side A+Side B+sqrt(Side A^2+Side B^2) Go
Radius of circumscribed circle
radius_of_circumscribed_circle = (Side A*Side B*Side C)/(4*Area Of Triangle) Go
Perimeter of Triangle
perimeter_of_triangle = Side A+Side B+Side C Go
Perimeter of a Parallelogram
perimeter = 2*Side A+2*Side B Go
Perimeter of a Kite
perimeter = 2*(Side A+Side B) Go
Perimeter of an Isosceles Triangle
perimeter = Side A+2*Side B Go

11 Other formulas that calculate the same Output

surface-volume-ratio of triakis tetrahedron given area
surface_to_volume_ratio = 4*(sqrt(11/2))*(sqrt((3*sqrt(11))/(5*Area))) Go
Surface-to-volume ratio (A/V) given side of Rhombic Triacontahedron
surface_to_volume_ratio = (3*sqrt(5))/(Side*(sqrt(5+(2*sqrt(5))))) Go
surface-volume-ratio of triakis tetrahedron given volume
surface_to_volume_ratio = 4*(sqrt(11/2))*(((3*sqrt(2))/(20*Volume))^(1/3)) Go
surface-volume-ratio of triakis tetrahedron given height
surface_to_volume_ratio = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height)) Go
Surface-to-volume ratio of Rhombic Dodecahedron given edge length
surface_to_volume_ratio = (9*sqrt(2))/(2*sqrt(3)*Side A) Go
Surface-to-volume ratio (A/V) of triakis tetrahedron given edge length of tetrahedron(a)
surface_to_volume_ratio = (4*sqrt(11))/(Side A*sqrt(2)) Go
surface-volume-ratio of triakis tetrahedron given Edge length of pyramid(b)
surface_to_volume_ratio = 4*(sqrt(11/2))*(3/(5*Side B)) Go
Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius
surface_to_volume_ratio = (6/(sqrt(3)*Radius)) Go
surface-volume-ratio of triakis tetrahedron given Midsphere radius
surface_to_volume_ratio = sqrt(11)/Radius Go
Surface-to-volume ratio of Rhombic Dodecahedron given Insphere radius
surface_to_volume_ratio = (3/Radius) Go
surface-volume-ratio of triakis tetrahedron given Insphere radius
surface_to_volume_ratio = 3/Radius Go

Surface-to-volume ratio of pentagonal trapezohedron given long edge Formula

surface_to_volume_ratio = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Side B/(((sqrt(5)+1)/2))))
r = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(b/(((sqrt(5)+1)/2))))

What is a trapezohedron?

The n-gonal trapezohedron, antidipyramid, antibipyramid, or deltohedron is the dual polyhedron of an n-gonal antiprism. The 2n faces of the n-trapezohedron are congruent and symmetrically staggered; they are called twisted kites. With a higher symmetry, its 2n faces are kites (also called deltoids). The n-gon part of the name does not refer to faces here but to two arrangements of vertices around an axis of symmetry. The dual n-gonal antiprism has two actual n-gon faces. An n-gonal trapezohedron can be dissected into two equal n-gonal pyramids and an n-gonal antiprism.

How to Calculate Surface-to-volume ratio of pentagonal trapezohedron given long edge?

Surface-to-volume ratio of pentagonal trapezohedron given long edge calculator uses surface_to_volume_ratio = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Side B/(((sqrt(5)+1)/2)))) to calculate the surface to volume ratio, The Surface-to-volume ratio of pentagonal trapezohedron given long edge formula is defined as the ratio of surface area to volume of pentagonal trapezohedron, where a = pentagonal trapezohedron edge. surface to volume ratio and is denoted by r symbol.

How to calculate Surface-to-volume ratio of pentagonal trapezohedron given long edge using this online calculator? To use this online calculator for Surface-to-volume ratio of pentagonal trapezohedron given long edge, enter Side B (b) and hit the calculate button. Here is how the Surface-to-volume ratio of pentagonal trapezohedron given long edge calculation can be explained with given input values -> 1.007632 = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(7/(((sqrt(5)+1)/2)))).

FAQ

What is Surface-to-volume ratio of pentagonal trapezohedron given long edge?
The Surface-to-volume ratio of pentagonal trapezohedron given long edge formula is defined as the ratio of surface area to volume of pentagonal trapezohedron, where a = pentagonal trapezohedron edge and is represented as r = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(b/(((sqrt(5)+1)/2)))) or surface_to_volume_ratio = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Side B/(((sqrt(5)+1)/2)))). Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Surface-to-volume ratio of pentagonal trapezohedron given long edge?
The Surface-to-volume ratio of pentagonal trapezohedron given long edge formula is defined as the ratio of surface area to volume of pentagonal trapezohedron, where a = pentagonal trapezohedron edge is calculated using surface_to_volume_ratio = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Side B/(((sqrt(5)+1)/2)))). To calculate Surface-to-volume ratio of pentagonal trapezohedron given long edge, you need Side B (b). With our tool, you need to enter the respective value for Side B 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 surface to volume ratio?
In this formula, surface to volume ratio uses Side B. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • surface_to_volume_ratio = (3*sqrt(5))/(Side*(sqrt(5+(2*sqrt(5)))))
  • surface_to_volume_ratio = (4*sqrt(11))/(Side A*sqrt(2))
  • surface_to_volume_ratio = 4*(sqrt(11/2))*(3/(5*Side B))
  • surface_to_volume_ratio = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height))
  • surface_to_volume_ratio = 4*(sqrt(11/2))*(sqrt((3*sqrt(11))/(5*Area)))
  • surface_to_volume_ratio = 3/Radius
  • surface_to_volume_ratio = sqrt(11)/Radius
  • surface_to_volume_ratio = 4*(sqrt(11/2))*(((3*sqrt(2))/(20*Volume))^(1/3))
  • surface_to_volume_ratio = (9*sqrt(2))/(2*sqrt(3)*Side A)
  • surface_to_volume_ratio = (3/Radius)
  • surface_to_volume_ratio = (6/(sqrt(3)*Radius))
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