FormulaDen.com

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

Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area Formula

GoPyramidal Height of Great Stellated Dodecahedron Formula

GoPyramidal Height of Great Stellated Dodecahedron given Ridge Length Formula

Fx Copy

LaTeX Copy

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

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

h_Pyramid - Pyramidal Height of Great Stellated Dodecahedron?TSA - Total Surface Area of Great Stellated Dodecahedron?

Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area Example

With values

With units

Only example

Here is how the Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area equation looks like with Values.

Here is how the Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area equation looks like with Units.

Here is how the Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area equation looks like.

15.0881 = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \sqrt{\frac{4600}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

15.0881m = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \sqrt{\frac{4600m²}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

15.0881 = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \sqrt{\frac{4600}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

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 Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area

Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \sqrt{\frac{4600m²}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \sqrt{\frac{4600}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

h Pyramid = 15.0881488096429m

LAST Step Rounding Answer

∴

h Pyramid = 15.0881m

Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

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

Total Surface Area of Great Stellated Dodecahedron

Total Surface Area of Great Stellated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Great Stellated Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Pyramidal Height of Great Stellated Dodecahedron

Go Pyramidal Height of Great Stellated Dodecahedron

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

Go Pyramidal Height of Great Stellated Dodecahedron given Ridge Length

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

Go Pyramidal Height of Great Stellated Dodecahedron given Pentagram Chord

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{l c(Pentagram)}{2 + \sqrt{5}}

Go Pyramidal Height of Great Stellated Dodecahedron given Volume

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

How to Evaluate Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area?

Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area evaluator uses Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5))))) to evaluate the Pyramidal Height of Great Stellated Dodecahedron, Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area formula is defined as the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron, calculated using its total surface area. Pyramidal Height of Great Stellated Dodecahedron is denoted by h_Pyramid symbol.

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

FAQs on Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area

What is the formula to find Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area?

The formula of Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area is expressed as Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5))))). Here is an example- 15.08815 = (sqrt(3)*(3+sqrt(5)))/6*sqrt(4600/(15*sqrt(5+(2*sqrt(5))))).

How to calculate Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area?

With Total Surface Area of Great Stellated Dodecahedron (TSA) we can find Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area using the formula - Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

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

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

Pyramidal Height of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/6*Edge Length of Great Stellated Dodecahedron
Pyramidal Height of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/6*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Pyramidal Height of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/6*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))

Can the Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area be negative?

No, the Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area?

Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area 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 Stellated Dodecahedron given Total Surface Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit