Height of pentagonal trapezohedron given surface area Calculator

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✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area [A]

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✖Height is the distance between the lowest and highest points of a person standing upright.ⓘ Height of pentagonal trapezohedron given surface area [h]

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Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has created this Calculator and 1000+ more calculators!

Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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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)

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Height of pentagonal trapezohedron given surface area

< 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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