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 Great Stellated Dodecahedron given Pyramidal Height Formula

GoSurface to Volume Ratio of Great Stellated Dodecahedron Formula

GoSurface to Volume Ratio of Great Stellated Dodecahedron given Ridge Length Formula

Fx Copy

LaTeX Copy

SA:V of Great Stellated Dodecahedron is the numerical ratio of the total surface area of a Great Stellated Dodecahedron to the volume of the Great Stellated Dodecahedron. Check FAQs

AV = \frac{2 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{h Pyramid}

AV - SA:V of Great Stellated Dodecahedron?h_Pyramid - Pyramidal Height of Great Stellated Dodecahedron?

Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height Example

With values

With units

Only example

Here is how the Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height equation looks like with Values.

Here is how the Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height equation looks like with Units.

Here is how the Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height equation looks like.

0.7108 = \frac{2 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{15}

0.7108m⁻¹ = \frac{2 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{15m}

0.7108 = \frac{2 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{15}

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 Great Stellated Dodecahedron given Pyramidal Height

Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height?

FIRST Step Consider the formula

AV = \frac{2 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{h Pyramid}

Next Step Substitute values of Variables

∴

AV = \frac{2 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{15m}

Next Step Prepare to Evaluate

∴

AV = \frac{2 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{15}

Next Step Evaluate

∴

AV = 0.710760567467445m⁻¹

LAST Step Rounding Answer

∴

AV = 0.7108m⁻¹

Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height Formula Elements

Variables

Functions

SA:V of Great Stellated Dodecahedron

SA:V of Great Stellated Dodecahedron is the numerical ratio of the total surface area of a Great Stellated Dodecahedron to the volume of the Great Stellated Dodecahedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Great Stellated Dodecahedron

Pyramidal Height of Great Stellated Dodecahedron

Pyramidal Height of Great Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron.

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height of Great Stellated Dodecahedron

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 Great Stellated Dodecahedron

Go Surface to Volume Ratio of Great Stellated Dodecahedron

AV = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot l e}

Go Surface to Volume Ratio of Great Stellated Dodecahedron given Ridge Length

AV = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5})} \cdot \frac{1 + \sqrt{5}}{2 \cdot l Ridge}

Go Surface to Volume Ratio of Great Stellated Dodecahedron given Pentagram Chord

AV = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5})} \cdot \frac{2 + \sqrt{5}}{l c(Pentagram)}

Go Surface to Volume Ratio of Great Stellated Dodecahedron given Circumradius

AV = \frac{3 \cdot \sqrt{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{r c}

How to Evaluate Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height?

Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height evaluator uses SA:V of Great Stellated Dodecahedron = (2*sqrt(3)*sqrt(5+(2*sqrt(5))))/Pyramidal Height of Great Stellated Dodecahedron to evaluate the SA:V of Great Stellated Dodecahedron, Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height formula is defined as the numerical ratio of the total surface area of a Great Stellated Dodecahedron to the volume of the Great Stellated Dodecahedron, calculated using its pyramidal height. SA:V of Great Stellated Dodecahedron is denoted by AV symbol.

How to evaluate Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height, enter Pyramidal Height of Great Stellated Dodecahedron (h_Pyramid) and hit the calculate button.

FAQs on Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height

What is the formula to find Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height?

The formula of Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height is expressed as SA:V of Great Stellated Dodecahedron = (2*sqrt(3)*sqrt(5+(2*sqrt(5))))/Pyramidal Height of Great Stellated Dodecahedron. Here is an example- 0.710761 = (2*sqrt(3)*sqrt(5+(2*sqrt(5))))/15.

How to calculate Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height?

With Pyramidal Height of Great Stellated Dodecahedron (h_Pyramid) we can find Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height using the formula - SA:V of Great Stellated Dodecahedron = (2*sqrt(3)*sqrt(5+(2*sqrt(5))))/Pyramidal Height of Great Stellated Dodecahedron. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate SA:V of Great Stellated Dodecahedron?

Here are the different ways to Calculate SA:V of Great Stellated Dodecahedron-

SA:V of Great Stellated Dodecahedron=(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*Edge Length of Great Stellated Dodecahedron)
SA:V of Great Stellated Dodecahedron=(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5)))*(1+sqrt(5))/(2*Ridge Length of Great Stellated Dodecahedron)
SA:V of Great Stellated Dodecahedron=(15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5)))*(2+sqrt(5))/Pentagram Chord of Great Stellated Dodecahedron

Can the Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height be negative?

No, the Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal Height?

Surface to Volume Ratio of Great Stellated Dodecahedron given Pyramidal 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 Great Stellated Dodecahedron given Pyramidal Height can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit