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Surface to Volume Ratio of Great Dodecahedron given Pyramidal Height Formula

GoSurface to Volume Ratio of Great Dodecahedron Formula

GoSurface to Volume Ratio of Great Dodecahedron given Ridge Length Formula

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Surface to Volume Ratio of Great Dodecahedron is the numerical ratio of the total surface area of a Great Dodecahedron to the volume of the Great Dodecahedron. Check FAQs

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6 \cdot h Pyramid}

R_A/V - Surface to Volume Ratio of Great Dodecahedron?h_Pyramid - Pyramidal Height of Great Dodecahedron?

Surface to Volume Ratio of Great Dodecahedron given Pyramidal Height Example

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

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

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

0.7777 = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6 \cdot 2}

0.7777m⁻¹ = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6 \cdot 2m}

0.7777 = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6 \cdot 2}

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Surface to Volume Ratio of Great Dodecahedron given Pyramidal Height Solution

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

FIRST Step Consider the formula

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6 \cdot h Pyramid}

Next Step Substitute values of Variables

∴

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6 \cdot 2m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6 \cdot 2}

Next Step Evaluate

∴

R A/V = 0.777739269455689m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.7777m⁻¹

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

Variables

Functions

Surface to Volume Ratio of Great Dodecahedron

Surface to Volume Ratio of Great Dodecahedron is the numerical ratio of the total surface area of a Great Dodecahedron to the volume of the Great Dodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Great Dodecahedron

Pyramidal Height of Great Dodecahedron

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

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height of Great 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 Surface to Volume Ratio of Great Dodecahedron

Go Surface to Volume Ratio of Great Dodecahedron

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot l e}

Go Surface to Volume Ratio of Great Dodecahedron given Ridge Length

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4}} \cdot \frac{1}{2 \cdot l Ridge}

Go Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4 \cdot r c}

Go Surface to Volume Ratio of Great Dodecahedron given Total Surface Area

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \sqrt{\frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{TSA}}

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

Surface to Volume Ratio of Great Dodecahedron given Pyramidal Height evaluator uses Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*(sqrt(3)*(3-sqrt(5)))/(6*Pyramidal Height of Great Dodecahedron) to evaluate the Surface to Volume Ratio of Great Dodecahedron, Surface to Volume Ratio of Great Dodecahedron given Pyramidal Height formula is defined as the numerical ratio of the total surface area of a Great Dodecahedron to the volume of the Great Dodecahedron, calculated using its pyramidal height. Surface to Volume Ratio of Great Dodecahedron is denoted by R_A/V symbol.

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

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

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

The formula of Surface to Volume Ratio of Great Dodecahedron given Pyramidal Height is expressed as Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*(sqrt(3)*(3-sqrt(5)))/(6*Pyramidal Height of Great Dodecahedron). Here is an example- 0.777739 = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*(sqrt(3)*(3-sqrt(5)))/(6*2).

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

With Pyramidal Height of Great Dodecahedron (h_Pyramid) we can find Surface to Volume Ratio of Great Dodecahedron given Pyramidal Height using the formula - Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*(sqrt(3)*(3-sqrt(5)))/(6*Pyramidal Height of Great Dodecahedron). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Surface to Volume Ratio of Great Dodecahedron?

Here are the different ways to Calculate Surface to Volume Ratio of Great Dodecahedron-

Surface to Volume Ratio of Great Dodecahedron=(15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Edge Length of Great Dodecahedron)
Surface to Volume Ratio of Great Dodecahedron=(15*sqrt(5-(2*sqrt(5))))/(5/4)*1/(2*Ridge Length of Great Dodecahedron)
Surface to Volume Ratio of Great Dodecahedron=(15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*sqrt(10+(2*sqrt(5)))/(4*Circumsphere Radius of Great Dodecahedron)

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

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

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

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

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