Height of Tetragonal Trapezohedron given Volume Calculator

✖Volume of Tetragonal Trapezohedron is the amount of three dimensional space covered by Tetragonal Trapezohedron.ⓘ Volume of Tetragonal Trapezohedron [V]

+10%

-10%

✖Height of Tetragonal Trapezohedron is the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join.ⓘ Height of Tetragonal Trapezohedron given Volume [h]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Height of Tetragonal Trapezohedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3))
h = sqrt((1/2)*(4+3*sqrt(2)))*(((3*V)/(sqrt(4+3*sqrt(2))))^(1/3))
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 Tetragonal Trapezohedron - (Measured in Meter) - Height of Tetragonal Trapezohedron is the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join.
Volume of Tetragonal Trapezohedron - (Measured in Cubic Meter) - Volume of Tetragonal Trapezohedron is the amount of three dimensional space covered by Tetragonal Trapezohedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Tetragonal Trapezohedron: 960 Cubic Meter --> 960 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt((1/2)*(4+3*sqrt(2)))*(((3*V)/(sqrt(4+3*sqrt(2))))^(1/3)) --> sqrt((1/2)*(4+3*sqrt(2)))*(((3*960)/(sqrt(4+3*sqrt(2))))^(1/3))

Evaluating ... ...

h = 20.3222265063323

STEP 3: Convert Result to Output's Unit

20.3222265063323 Meter --> No Conversion Required

FINAL ANSWER

20.3222265063323 ≈ 20.32223 Meter <-- Height of Tetragonal Trapezohedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Trapezohedron » Tetragonal Trapezohedron » Height of Tetragonal Trapezohedron » Height of Tetragonal Trapezohedron given Volume

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 Tetragonal Trapezohedron Calculators

Height of Tetragonal Trapezohedron given Total Surface Area

LaTeX Go Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2)))))

Height of Tetragonal Trapezohedron given Long Edge

LaTeX Go Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))

Height of Tetragonal Trapezohedron given Short Edge

LaTeX Go Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1)))

Height of Tetragonal Trapezohedron

LaTeX Go Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*Antiprism Edge Length of Tetragonal Trapezohedron

Height of Tetragonal Trapezohedron given Volume Formula

LaTeX Go

Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3))
h = sqrt((1/2)*(4+3*sqrt(2)))*(((3*V)/(sqrt(4+3*sqrt(2))))^(1/3))

What is a Tetragonal Trapezohedron?

In geometry, a Tetragonal Trapezohedron, or deltohedron, is the second in an infinite series of trapezohedra, which are dual to the antiprisms. It has eight faces, which are congruent kites, and is dual to the square antiprism.

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 Tetragonal Trapezohedron given Volume?

Height of Tetragonal Trapezohedron given Volume calculator uses Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3)) to calculate the Height of Tetragonal Trapezohedron, The Height of Tetragonal Trapezohedron given Volume formula is defined as the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join, calculated using its volume. Height of Tetragonal Trapezohedron is denoted by h symbol.

How to calculate Height of Tetragonal Trapezohedron given Volume using this online calculator? To use this online calculator for Height of Tetragonal Trapezohedron given Volume, enter Volume of Tetragonal Trapezohedron (V) and hit the calculate button. Here is how the Height of Tetragonal Trapezohedron given Volume calculation can be explained with given input values -> 20.32223 = sqrt((1/2)*(4+3*sqrt(2)))*(((3*960)/(sqrt(4+3*sqrt(2))))^(1/3)).

FAQ

What is Height of Tetragonal Trapezohedron given Volume?

The Height of Tetragonal Trapezohedron given Volume formula is defined as the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join, calculated using its volume and is represented as h = sqrt((1/2)*(4+3*sqrt(2)))*(((3*V)/(sqrt(4+3*sqrt(2))))^(1/3)) or Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3)). Volume of Tetragonal Trapezohedron is the amount of three dimensional space covered by Tetragonal Trapezohedron.

How to calculate Height of Tetragonal Trapezohedron given Volume?

The Height of Tetragonal Trapezohedron given Volume formula is defined as the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join, calculated using its volume is calculated using Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3)). To calculate Height of Tetragonal Trapezohedron given Volume, you need Volume of Tetragonal Trapezohedron (V). With our tool, you need to enter the respective value for Volume of Tetragonal 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 Tetragonal Trapezohedron?

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

Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*Antiprism Edge Length of Tetragonal Trapezohedron
Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*(Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1)))
Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))

Home

FREE PDFs

🔍 Search