Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area Calculator

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

+10%

-10%

✖SA:V of Tetragonal Trapezohedron is the numerical ratio of the total surface area of the Tetragonal Trapezohedron to the volume of the Tetragonal Trapezohedron.ⓘ Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area [AV]

⎘ Copy

👎

Formula

✖

Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area

Formula

`"AV" = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(sqrt("TSA"/(2*sqrt(2+4*sqrt(2))))))`

Example

`"0.580082m⁻¹"=(2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(sqrt("550m²"/(2*sqrt(2+4*sqrt(2))))))`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2))))))
AV = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(sqrt(TSA/(2*sqrt(2+4*sqrt(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

SA:V of Tetragonal Trapezohedron - (Measured in 1 per Meter) - SA:V of Tetragonal Trapezohedron is the numerical ratio of the total surface area of the Tetragonal Trapezohedron to the volume of the Tetragonal Trapezohedron.
Total Surface Area of Tetragonal Trapezohedron - (Measured in Square Meter) - Total Surface Area of Tetragonal Trapezohedron is the total quantity of two-dimensional space enclosed on the entire surface of the Tetragonal Trapezohedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Tetragonal Trapezohedron: 550 Square Meter --> 550 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(sqrt(TSA/(2*sqrt(2+4*sqrt(2)))))) --> (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(sqrt(550/(2*sqrt(2+4*sqrt(2))))))

Evaluating ... ...

AV = 0.580082153501194

STEP 3: Convert Result to Output's Unit

0.580082153501194 1 per Meter --> No Conversion Required

FINAL ANSWER

0.580082153501194 ≈ 0.580082 1 per Meter <-- SA:V of Tetragonal Trapezohedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Trapezohedron » Tetragonal Trapezohedron » Surface to Volume Ratio of Tetragonal Trapezohedron » Surface to Volume Ratio of Tetragonal 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!

< 6 Surface to Volume Ratio of Tetragonal Trapezohedron Calculators

Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area

Go SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2))))))

Surface to Volume Ratio of Tetragonal Trapezohedron given Volume

Go SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3)))

Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge

Go SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2))))))

Surface to Volume Ratio of Tetragonal Trapezohedron given Height

Go SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2))))))

Surface to Volume Ratio of Tetragonal Trapezohedron given Short Edge

Go SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1))))

Surface to Volume Ratio of Tetragonal Trapezohedron

Go SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*Antiprism Edge Length of Tetragonal Trapezohedron)

Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area Formula

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 Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area?

Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area calculator uses SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2)))))) to calculate the SA:V of Tetragonal Trapezohedron, Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Tetragonal Trapezohedron to the volume of the Tetragonal Trapezohedron, calculated using its total surface area. SA:V of Tetragonal Trapezohedron is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area using this online calculator? To use this online calculator for Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area, enter Total Surface Area of Tetragonal Trapezohedron (TSA) and hit the calculate button. Here is how the Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area calculation can be explained with given input values -> 0.580082 = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(sqrt(550/(2*sqrt(2+4*sqrt(2)))))).

FAQ

What is Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area?

Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Tetragonal Trapezohedron to the volume of the Tetragonal Trapezohedron, calculated using its total surface area and is represented as AV = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(sqrt(TSA/(2*sqrt(2+4*sqrt(2)))))) or SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2)))))). Total Surface Area of Tetragonal Trapezohedron is the total quantity of two-dimensional space enclosed on the entire surface of the Tetragonal Trapezohedron.

How to calculate Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area?

Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Tetragonal Trapezohedron to the volume of the Tetragonal Trapezohedron, calculated using its total surface area is calculated using SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2)))))). To calculate Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area, you need Total Surface Area of Tetragonal Trapezohedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 SA:V of Tetragonal Trapezohedron?

In this formula, SA:V of Tetragonal Trapezohedron uses Total Surface Area of Tetragonal Trapezohedron. We can use 5 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search