FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Surface to Volume Ratio of Tetragonal Trapezohedron given Height Formula

GoSurface to Volume Ratio of Tetragonal Trapezohedron Formula

GoSurface to Volume Ratio of Tetragonal Trapezohedron given Short Edge Formula

Fx Copy

LaTeX Copy

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. Check FAQs

AV = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{h}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}

AV - SA:V of Tetragonal Trapezohedron?h - Height of Tetragonal Trapezohedron?

Surface to Volume Ratio of Tetragonal Trapezohedron given Height Example

With values

With units

Only example

Here is how the Surface to Volume Ratio of Tetragonal Trapezohedron given Height equation looks like with Values.

Here is how the Surface to Volume Ratio of Tetragonal Trapezohedron given Height equation looks like with Units.

Here is how the Surface to Volume Ratio of Tetragonal Trapezohedron given Height equation looks like.

0.587 = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}

0.587m⁻¹ = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{20m}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}

0.587 = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Surface to Volume Ratio of Tetragonal Trapezohedron given Height

Surface to Volume Ratio of Tetragonal Trapezohedron given Height Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Tetragonal Trapezohedron given Height?

FIRST Step Consider the formula

AV = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{h}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}

Next Step Substitute values of Variables

∴

AV = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{20m}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}

Next Step Prepare to Evaluate

∴

AV = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}

Next Step Evaluate

∴

AV = 0.58699100608711m⁻¹

LAST Step Rounding Answer

∴

AV = 0.587m⁻¹

Surface to Volume Ratio of Tetragonal Trapezohedron given Height Formula Elements

Variables

Functions

SA:V of Tetragonal Trapezohedron

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.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Tetragonal Trapezohedron

Height of Tetragonal Trapezohedron

Height of Tetragonal Trapezohedron is the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Tetragonal Trapezohedron

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.

Syntax: sqrt(Number)

Other Formulas to find SA:V of Tetragonal Trapezohedron

Go Surface to Volume Ratio of Tetragonal Trapezohedron

AV = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot l e(Antiprism)}

Go Surface to Volume Ratio of Tetragonal Trapezohedron given Short Edge

AV = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{l e(Short)}{\sqrt{\sqrt{2} - 1}})}

Go Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge

AV = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{2 \cdot l e(Long)}{\sqrt{2 \cdot (1 + \sqrt{2})}})}

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

AV = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\sqrt{\frac{TSA}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})}

How to Evaluate Surface to Volume Ratio of Tetragonal Trapezohedron given Height?

Surface to Volume Ratio of Tetragonal Trapezohedron given Height evaluator uses 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)))))) to evaluate the SA:V of Tetragonal Trapezohedron, Surface to Volume Ratio of Tetragonal Trapezohedron given Height 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 height. SA:V of Tetragonal Trapezohedron is denoted by AV symbol.

How to evaluate Surface to Volume Ratio of Tetragonal Trapezohedron given Height using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Tetragonal Trapezohedron given Height, enter Height of Tetragonal Trapezohedron (h) and hit the calculate button.

FAQs on Surface to Volume Ratio of Tetragonal Trapezohedron given Height

What is the formula to find Surface to Volume Ratio of Tetragonal Trapezohedron given Height?

The formula of Surface to Volume Ratio of Tetragonal Trapezohedron given Height is expressed as 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)))))). Here is an example- 0.586991 = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(20/(sqrt((1/2)*(4+3*sqrt(2)))))).

How to calculate Surface to Volume Ratio of Tetragonal Trapezohedron given Height?

With Height of Tetragonal Trapezohedron (h) we can find Surface to Volume Ratio of Tetragonal Trapezohedron given Height using the formula - 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)))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate SA:V of Tetragonal Trapezohedron?

Here are the different ways to Calculate SA:V of Tetragonal Trapezohedron-

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))))))

Can the Surface to Volume Ratio of Tetragonal Trapezohedron given Height be negative?

No, the Surface to Volume Ratio of Tetragonal Trapezohedron given Height, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Tetragonal Trapezohedron given Height?

Surface to Volume Ratio of Tetragonal Trapezohedron given Height is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Tetragonal Trapezohedron given Height can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit