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Surface area of pentagonal trapezohedron given long edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_area = (sqrt((25/2)*(5+sqrt(5))))*((Side B/(((sqrt(5)+1)/2)))^2)
SA = (sqrt((25/2)*(5+sqrt(5))))*((b/(((sqrt(5)+1)/2)))^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
SA = (sqrt((25/2)*(5+sqrt(5))))*((b/(((sqrt(5)+1)/2)))^2) --> (sqrt((25/2)*(5+sqrt(5))))*((7/(((sqrt(5)+1)/2)))^2)
Evaluating ... ...
SA = 178.002919361313
STEP 3: Convert Result to Output's Unit
178.002919361313 Square Meter --> No Conversion Required
FINAL ANSWER
178.002919361313 Square Meter <-- Surface Area
(Calculation completed in 00.000 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 Area of Cuboid
surface_area = 2*((Length*Height)+(Height*Breadth)+(Length*Breadth)) Go
Surface Area of a Rectangular Prism
surface_area = 2*(Length*Width+Length*Height+Width*Height) Go
Surface Area of triangular prism
surface_area = (Base*Height)+(2*Length*Side)+(Length*Base) Go
Surface Area of a Capsule
surface_area = 2*pi*Radius*(2*Radius+Side) Go
Surface Area of Prisms
surface_area = (2*Base Area)+(Height*Base Perimeter) Go
Surface Area of Dodecahedron
surface_area = 3*(sqrt(25+(10*sqrt(5))))*(Side^2) Go
Surface Area of Regular Octahedron
surface_area = 2*(sqrt(3))*(Side^2) Go
Surface Area of Icosahedron
surface_area = 5*(sqrt(3))*(Side^2) Go
Surface Area of Regular Tetrahedron
surface_area = (sqrt(3))*(Side^2) Go
Surface Area of a Sphere
surface_area = 4*pi*Radius^2 Go
Surface Area of a Cube
surface_area = 6*Side^2 Go

Surface area of pentagonal trapezohedron given long edge Formula

surface_area = (sqrt((25/2)*(5+sqrt(5))))*((Side B/(((sqrt(5)+1)/2)))^2)
SA = (sqrt((25/2)*(5+sqrt(5))))*((b/(((sqrt(5)+1)/2)))^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 area of pentagonal trapezohedron given long edge?

Surface area of pentagonal trapezohedron given long edge calculator uses surface_area = (sqrt((25/2)*(5+sqrt(5))))*((Side B/(((sqrt(5)+1)/2)))^2) to calculate the Surface Area, The Surface area of pentagonal trapezohedron given long edge formula is defined as measure of the total area that the surface of the object occupies of a pentagonal trapezohedron, where a =pentagonal trapezohedron edge. Surface Area and is denoted by SA symbol.

How to calculate Surface area of pentagonal trapezohedron given long edge using this online calculator? To use this online calculator for Surface area of pentagonal trapezohedron given long edge, enter Side B (b) and hit the calculate button. Here is how the Surface area of pentagonal trapezohedron given long edge calculation can be explained with given input values -> 178.0029 = (sqrt((25/2)*(5+sqrt(5))))*((7/(((sqrt(5)+1)/2)))^2).

FAQ

What is Surface area of pentagonal trapezohedron given long edge?
The Surface area of pentagonal trapezohedron given long edge formula is defined as measure of the total area that the surface of the object occupies of a pentagonal trapezohedron, where a =pentagonal trapezohedron edge and is represented as SA = (sqrt((25/2)*(5+sqrt(5))))*((b/(((sqrt(5)+1)/2)))^2) or surface_area = (sqrt((25/2)*(5+sqrt(5))))*((Side B/(((sqrt(5)+1)/2)))^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 area of pentagonal trapezohedron given long edge?
The Surface area of pentagonal trapezohedron given long edge formula is defined as measure of the total area that the surface of the object occupies of a pentagonal trapezohedron, where a =pentagonal trapezohedron edge is calculated using surface_area = (sqrt((25/2)*(5+sqrt(5))))*((Side B/(((sqrt(5)+1)/2)))^2). To calculate Surface area 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 Area?
In this formula, Surface Area uses Side B. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • surface_area = 2*pi*Radius*(2*Radius+Side)
  • surface_area = 6*Side^2
  • surface_area = 2*(Length*Width+Length*Height+Width*Height)
  • surface_area = 4*pi*Radius^2
  • surface_area = 3*(sqrt(25+(10*sqrt(5))))*(Side^2)
  • surface_area = 5*(sqrt(3))*(Side^2)
  • surface_area = 2*(sqrt(3))*(Side^2)
  • surface_area = (sqrt(3))*(Side^2)
  • surface_area = 2*((Length*Height)+(Height*Breadth)+(Length*Breadth))
  • surface_area = (2*Base Area)+(Height*Base Perimeter)
  • surface_area = (Base*Height)+(2*Length*Side)+(Length*Base)
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