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Height of pentagonal trapezohedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
height = (sqrt(5+2*sqrt(5)))*(sqrt(Area/((sqrt((25/2)*(5+sqrt(5)))))))
h = (sqrt(5+2*sqrt(5)))*(sqrt(A/((sqrt((25/2)*(5+sqrt(5)))))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (sqrt(5+2*sqrt(5)))*(sqrt(A/((sqrt((25/2)*(5+sqrt(5))))))) --> (sqrt(5+2*sqrt(5)))*(sqrt(50/((sqrt((25/2)*(5+sqrt(5)))))))
Evaluating ... ...
h = 7.05676736882091
STEP 3: Convert Result to Output's Unit
7.05676736882091 Meter --> No Conversion Required
FINAL ANSWER
7.05676736882091 Meter <-- Height
(Calculation completed in 00.406 seconds)

11 Other formulas that you can solve using the same Inputs

Diagonal of a Rectangle when breadth and area are given
diagonal = sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2) Go
Diagonal of a Rectangle when length and area are given
diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2) Go
Side of a Kite when other side and area are given
side_a = (Area*cosec(Angle Between Sides))/Side B Go
Perimeter of rectangle when area and rectangle length are given
perimeter = (2*Area+2*(Length)^2)/Length Go
Buoyant Force
buoyant_force = Pressure*Area Go
Perimeter of a square when area is given
perimeter = 4*sqrt(Area) Go
Diagonal of a Square when area is given
diagonal = sqrt(2*Area) Go
Length of rectangle when area and breadth are given
length = Area/Breadth Go
Breadth of rectangle when area and length are given
breadth = Area/Length Go
Pressure when force and area are given
pressure = Force/Area Go
Stress
stress = Force/Area Go

11 Other formulas that calculate the same Output

Height of a triangular prism when lateral surface area is given
height = Lateral Surface Area/(Side A+Side B+Side C) Go
Height of an isosceles trapezoid
height = sqrt(Side C^2-0.25*(Side A-Side B)^2) Go
Altitude of an isosceles triangle
height = sqrt((Side A)^2+((Side B)^2/4)) Go
Height of a triangular prism when base and volume are given
height = (2*Volume)/(Base*Length) Go
Height of a trapezoid when area and sum of parallel sides are given
height = (2*Area)/Sum of parallel sides of a trapezoid Go
Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a
height = 4*Radius of Sphere/3 Go
Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere
height = 4*Radius of Sphere/3 Go
Height of Cone circumscribing a sphere such that volume of cone is minimum
height = 4*Radius of Sphere Go
Height of parabolic section that can be cut from a cone for maximum area of parabolic section
height = 0.75*Slant Height Go
Height of a circular cylinder of maximum convex surface area in a given circular cone
height = Height of Cone/2 Go
Height of Largest right circular cylinder that can be inscribed within a cone
height = Height of Cone/3 Go

Height of pentagonal trapezohedron given surface area Formula

height = (sqrt(5+2*sqrt(5)))*(sqrt(Area/((sqrt((25/2)*(5+sqrt(5)))))))
h = (sqrt(5+2*sqrt(5)))*(sqrt(A/((sqrt((25/2)*(5+sqrt(5)))))))

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 Height of pentagonal trapezohedron given surface area?

Height of pentagonal trapezohedron given surface area calculator uses height = (sqrt(5+2*sqrt(5)))*(sqrt(Area/((sqrt((25/2)*(5+sqrt(5))))))) to calculate the Height, The Height of pentagonal trapezohedron given surface area formula is defined as the measure of vertical distance from one top to bottom face of pentagonal trapezohedron, where h = height of pentagonal trapezohedron. Height and is denoted by h symbol.

How to calculate Height of pentagonal trapezohedron given surface area using this online calculator? To use this online calculator for Height of pentagonal trapezohedron given surface area, enter Area (A) and hit the calculate button. Here is how the Height of pentagonal trapezohedron given surface area calculation can be explained with given input values -> 7.056767 = (sqrt(5+2*sqrt(5)))*(sqrt(50/((sqrt((25/2)*(5+sqrt(5))))))).

FAQ

What is Height of pentagonal trapezohedron given surface area?
The Height of pentagonal trapezohedron given surface area formula is defined as the measure of vertical distance from one top to bottom face of pentagonal trapezohedron, where h = height of pentagonal trapezohedron and is represented as h = (sqrt(5+2*sqrt(5)))*(sqrt(A/((sqrt((25/2)*(5+sqrt(5))))))) or height = (sqrt(5+2*sqrt(5)))*(sqrt(Area/((sqrt((25/2)*(5+sqrt(5))))))). The area is the amount of two-dimensional space taken up by an object.
How to calculate Height of pentagonal trapezohedron given surface area?
The Height of pentagonal trapezohedron given surface area formula is defined as the measure of vertical distance from one top to bottom face of pentagonal trapezohedron, where h = height of pentagonal trapezohedron is calculated using height = (sqrt(5+2*sqrt(5)))*(sqrt(Area/((sqrt((25/2)*(5+sqrt(5))))))). To calculate Height of pentagonal trapezohedron given surface area, you need Area (A). With our tool, you need to enter the respective value for Area 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 Height?
In this formula, Height uses Area. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • height = 4*Radius of Sphere/3
  • height = 4*Radius of Sphere
  • height = Height of Cone/3
  • height = 4*Radius of Sphere/3
  • height = Height of Cone/2
  • height = 0.75*Slant Height
  • height = sqrt(Side C^2-0.25*(Side A-Side B)^2)
  • height = (2*Area)/Sum of parallel sides of a trapezoid
  • height = sqrt((Side A)^2+((Side B)^2/4))
  • height = (2*Volume)/(Base*Length)
  • height = Lateral Surface Area/(Side A+Side B+Side C)
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