Height of Gyrobifastigium given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Gyrobifastigium is the numerical ratio of the total surface area of a Gyrobifastigium to the volume of the Gyrobifastigium.ⓘ Surface to Volume Ratio of Gyrobifastigium [R_A/V]

+10%

-10%

✖Height of Gyrobifastigium is the distance between the lowest and highest points of the Gyrobifastigium.ⓘ Height of Gyrobifastigium given Surface to Volume Ratio [h]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Height of Gyrobifastigium given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Gyrobifastigium = (4+sqrt(3))/(Surface to Volume Ratio of Gyrobifastigium/2)
h = (4+sqrt(3))/(R_A/V/2)
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 Gyrobifastigium - (Measured in Meter) - Height of Gyrobifastigium is the distance between the lowest and highest points of the Gyrobifastigium.
Surface to Volume Ratio of Gyrobifastigium - (Measured in 1 per Meter) - Surface to Volume Ratio of Gyrobifastigium is the numerical ratio of the total surface area of a Gyrobifastigium to the volume of the Gyrobifastigium.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Gyrobifastigium: 0.7 1 per Meter --> 0.7 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (4+sqrt(3))/(R_A/V/2) --> (4+sqrt(3))/(0.7/2)

Evaluating ... ...

h = 16.3772880216254

STEP 3: Convert Result to Output's Unit

16.3772880216254 Meter --> No Conversion Required

FINAL ANSWER

16.3772880216254 ≈ 16.37729 Meter <-- Height of Gyrobifastigium

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Gyrobifastigium » Height of Gyrobifastigium » Height of Gyrobifastigium given Surface to Volume Ratio

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 Gyrobifastigium Calculators

Height of Gyrobifastigium given Total Surface Area

LaTeX Go Height of Gyrobifastigium = sqrt(3)*sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3)))

Height of Gyrobifastigium given Volume

LaTeX Go Height of Gyrobifastigium = sqrt(3)*((2*Volume of Gyrobifastigium)/sqrt(3))^(1/3)

Height of Gyrobifastigium given Surface to Volume Ratio

LaTeX Go Height of Gyrobifastigium = (4+sqrt(3))/(Surface to Volume Ratio of Gyrobifastigium/2)

Height of Gyrobifastigium

LaTeX Go Height of Gyrobifastigium = sqrt(3)*Edge Length of Gyrobifastigium

Height of Gyrobifastigium given Surface to Volume Ratio Formula

LaTeX Go

Height of Gyrobifastigium = (4+sqrt(3))/(Surface to Volume Ratio of Gyrobifastigium/2)
h = (4+sqrt(3))/(R_A/V/2)

What is a Gyrobifastigium?

A Gyrobifastigium is a right wedge with regular polygons as faces, on which another such, twisted for 90 degrees, is attached base to base. It is the Johnson solid generally denoted by J26. The gyrobifastigium is the only Johnson solid, which can tile space without gaps. It has 8 faces which include 4 equilateral triangular faces and 4 square faces. Also it has 14 edges and 8 vertices.

How to Calculate Height of Gyrobifastigium given Surface to Volume Ratio?

Height of Gyrobifastigium given Surface to Volume Ratio calculator uses Height of Gyrobifastigium = (4+sqrt(3))/(Surface to Volume Ratio of Gyrobifastigium/2) to calculate the Height of Gyrobifastigium, The Height of Gyrobifastigium given Surface to Volume Ratio formula is defined as the distance between the lowest and highest points of the Gyrobifastigium and is calculated using the surface to volume ratio of the Gyrobifastigium. Height of Gyrobifastigium is denoted by h symbol.

How to calculate Height of Gyrobifastigium given Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Gyrobifastigium given Surface to Volume Ratio, enter Surface to Volume Ratio of Gyrobifastigium (R_A/V) and hit the calculate button. Here is how the Height of Gyrobifastigium given Surface to Volume Ratio calculation can be explained with given input values -> 16.37729 = (4+sqrt(3))/(0.7/2).

FAQ

What is Height of Gyrobifastigium given Surface to Volume Ratio?

The Height of Gyrobifastigium given Surface to Volume Ratio formula is defined as the distance between the lowest and highest points of the Gyrobifastigium and is calculated using the surface to volume ratio of the Gyrobifastigium and is represented as h = (4+sqrt(3))/(R_A/V/2) or Height of Gyrobifastigium = (4+sqrt(3))/(Surface to Volume Ratio of Gyrobifastigium/2). Surface to Volume Ratio of Gyrobifastigium is the numerical ratio of the total surface area of a Gyrobifastigium to the volume of the Gyrobifastigium.

How to calculate Height of Gyrobifastigium given Surface to Volume Ratio?

The Height of Gyrobifastigium given Surface to Volume Ratio formula is defined as the distance between the lowest and highest points of the Gyrobifastigium and is calculated using the surface to volume ratio of the Gyrobifastigium is calculated using Height of Gyrobifastigium = (4+sqrt(3))/(Surface to Volume Ratio of Gyrobifastigium/2). To calculate Height of Gyrobifastigium given Surface to Volume Ratio, you need Surface to Volume Ratio of Gyrobifastigium (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Gyrobifastigium 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 Gyrobifastigium?

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

Height of Gyrobifastigium = sqrt(3)*Edge Length of Gyrobifastigium
Height of Gyrobifastigium = sqrt(3)*sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3)))
Height of Gyrobifastigium = sqrt(3)*((2*Volume of Gyrobifastigium)/sqrt(3))^(1/3)

Home

FREE PDFs

🔍 Search