Height of Pentagonal Trapezohedron given Total Surface Area Calculator

✖Total Surface Area of Pentagonal Trapezohedron is the total quantity of two dimensional space enclosed on the entire surface of the Pentagonal Trapezohedron.ⓘ Total Surface Area of Pentagonal Trapezohedron [TSA]

+10%

-10%

✖Height of Pentagonal Trapezohedron is the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join.ⓘ Height of Pentagonal Trapezohedron given Total Surface Area [h]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Height of Pentagonal Trapezohedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5)))))))
h = (sqrt(5+2*sqrt(5)))*(sqrt(TSA/((sqrt((25/2)*(5+sqrt(5)))))))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Height of Pentagonal Trapezohedron - (Measured in Meter) - Height of Pentagonal Trapezohedron is the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join.
Total Surface Area of Pentagonal Trapezohedron - (Measured in Square Meter) - Total Surface Area of Pentagonal Trapezohedron is the total quantity of two dimensional space enclosed on the entire surface of the Pentagonal Trapezohedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Pentagonal Trapezohedron: 950 Square Meter --> 950 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (sqrt(5+2*sqrt(5)))*(sqrt(TSA/((sqrt((25/2)*(5+sqrt(5))))))) --> (sqrt(5+2*sqrt(5)))*(sqrt(950/((sqrt((25/2)*(5+sqrt(5)))))))

Evaluating ... ...

h = 30.7597358287658

STEP 3: Convert Result to Output's Unit

30.7597358287658 Meter --> No Conversion Required

FINAL ANSWER

30.7597358287658 ≈ 30.75974 Meter <-- Height of Pentagonal Trapezohedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Trapezohedron » Pentagonal Trapezohedron » Height of Pentagonal Trapezohedron » Height of Pentagonal Trapezohedron given Total Surface Area

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Height of Pentagonal Trapezohedron Calculators

Height of Pentagonal Trapezohedron given Total Surface Area

LaTeX Go Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5)))))))

Height of Pentagonal Trapezohedron given Short Edge

LaTeX Go Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2)))

Height of Pentagonal Trapezohedron given Long Edge

LaTeX Go Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))

Height of Pentagonal Trapezohedron

LaTeX Go Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*Antiprism Edge Length of Pentagonal Trapezohedron

Height of Pentagonal Trapezohedron given Total Surface Area Formula

LaTeX Go

What is a Pentagonal Trapezohedron?

In geometry, a Pentagonal Trapezohedron or deltohedron is the third in an infinite series of face-transitive polyhedra which are dual polyhedra to the antiprisms. It has ten faces (i.e., it is a decahedron) which are congruent kites. It can be decomposed into two pentagonal pyramids and a pentagonal antiprism in the middle. It can also be decomposed into two pentagonal pyramids and a dodecahedron in the middle.

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 Total Surface Area?

Height of Pentagonal Trapezohedron given Total Surface Area calculator uses Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5))))))) to calculate the Height of Pentagonal Trapezohedron, The Height of Pentagonal Trapezohedron given Total Surface Area formula is defined as the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join, calculated using its total surface area. Height of Pentagonal Trapezohedron is denoted by h symbol.

How to calculate Height of Pentagonal Trapezohedron given Total Surface Area using this online calculator? To use this online calculator for Height of Pentagonal Trapezohedron given Total Surface Area, enter Total Surface Area of Pentagonal Trapezohedron (TSA) and hit the calculate button. Here is how the Height of Pentagonal Trapezohedron given Total Surface Area calculation can be explained with given input values -> 30.75974 = (sqrt(5+2*sqrt(5)))*(sqrt(950/((sqrt((25/2)*(5+sqrt(5))))))).

FAQ

What is Height of Pentagonal Trapezohedron given Total Surface Area?

The Height of Pentagonal Trapezohedron given Total Surface Area formula is defined as the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join, calculated using its total surface area and is represented as h = (sqrt(5+2*sqrt(5)))*(sqrt(TSA/((sqrt((25/2)*(5+sqrt(5))))))) or Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5))))))). Total Surface Area of Pentagonal Trapezohedron is the total quantity of two dimensional space enclosed on the entire surface of the Pentagonal Trapezohedron.

How to calculate Height of Pentagonal Trapezohedron given Total Surface Area?

The Height of Pentagonal Trapezohedron given Total Surface Area formula is defined as the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join, calculated using its total surface area is calculated using Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5))))))). To calculate Height of Pentagonal Trapezohedron given Total Surface Area, you need Total Surface Area of Pentagonal Trapezohedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Pentagonal Trapezohedron 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 of Pentagonal Trapezohedron?

In this formula, Height of Pentagonal Trapezohedron uses Total Surface Area of Pentagonal Trapezohedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*Antiprism Edge Length of Pentagonal Trapezohedron
Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2)))
Height of Pentagonal Trapezohedron = (sqrt(5+2*sqrt(5)))*(Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))

Home

FREE PDFs

🔍 Search