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Pyramidal Height of Great Dodecahedron given Volume Formula

GoPyramidal Height of Great Dodecahedron Formula

GoPyramidal Height of Great Dodecahedron given Ridge Length Formula

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

h Pyramid = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot {(\frac{4 \cdot V}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

h_Pyramid - Pyramidal Height of Great Dodecahedron?V - Volume of Great Dodecahedron?

Pyramidal Height of Great Dodecahedron given Volume Example

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

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

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

2.2076 = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot {(\frac{4 \cdot 1550}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

2.2076m = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot {(\frac{4 \cdot 1550m³}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

2.2076 = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot {(\frac{4 \cdot 1550}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

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Pyramidal Height of Great Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

h Pyramid = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot {(\frac{4 \cdot V}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

h Pyramid = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot {(\frac{4 \cdot 1550m³}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

h Pyramid = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot {(\frac{4 \cdot 1550}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

Next Step Evaluate

∴

h Pyramid = 2.20761770648689m

LAST Step Rounding Answer

∴

h Pyramid = 2.2076m

Pyramidal Height of Great Dodecahedron given Volume Formula Elements

Variables

Functions

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

Volume of Great Dodecahedron

Volume of Great Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Great Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Pyramidal Height of Great Dodecahedron

Go Pyramidal Height of Great Dodecahedron

h Pyramid = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot l e

Go Pyramidal Height of Great Dodecahedron given Ridge Length

h Pyramid = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot \frac{2 \cdot l Ridge}{\sqrt{5} - 1}

Go Pyramidal Height of Great Dodecahedron given Circumsphere Radius

h Pyramid = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot \frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Go Pyramidal Height of Great Dodecahedron given Total Surface Area

h Pyramid = \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

How to Evaluate Pyramidal Height of Great Dodecahedron given Volume?

Pyramidal Height of Great Dodecahedron given Volume evaluator uses Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*((4*Volume of Great Dodecahedron)/(5*(sqrt(5)-1)))^(1/3) to evaluate the Pyramidal Height of Great Dodecahedron, Pyramidal Height of Great Dodecahedron given Volume formula is defined as the height of any of the inwards-directed tetrahedral pyramids of the Great Dodecahedron, calculated using its volume. Pyramidal Height of Great Dodecahedron is denoted by h_Pyramid symbol.

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

FAQs on Pyramidal Height of Great Dodecahedron given Volume

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

The formula of Pyramidal Height of Great Dodecahedron given Volume is expressed as Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*((4*Volume of Great Dodecahedron)/(5*(sqrt(5)-1)))^(1/3). Here is an example- 2.207618 = (sqrt(3)*(3-sqrt(5)))/6*((4*1550)/(5*(sqrt(5)-1)))^(1/3).

How to calculate Pyramidal Height of Great Dodecahedron given Volume?

With Volume of Great Dodecahedron (V) we can find Pyramidal Height of Great Dodecahedron given Volume using the formula - Pyramidal Height of Great Dodecahedron = (sqrt(3)*(3-sqrt(5)))/6*((4*Volume of Great Dodecahedron)/(5*(sqrt(5)-1)))^(1/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pyramidal Height of Great Dodecahedron?

Here are the different ways to Calculate Pyramidal Height of Great Dodecahedron-

Pyramidal Height of Great Dodecahedron=(sqrt(3)*(3-sqrt(5)))/6*Edge Length of Great Dodecahedron
Pyramidal Height of Great Dodecahedron=(sqrt(3)*(3-sqrt(5)))/6*(2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1)
Pyramidal Height of Great Dodecahedron=(sqrt(3)*(3-sqrt(5)))/6*(4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5)))

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

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

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

Pyramidal Height of Great Dodecahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pyramidal Height of Great Dodecahedron given Volume can be measured.

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