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Height of Gyroelongated Square Dipyramid given Total Surface Area Formula

GoHeight of Gyroelongated Square Dipyramid Formula

GoHeight of Gyroelongated Square Dipyramid given Volume Formula

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Height of Gyroelongated Square Dipyramid is the vertical distance from the highest point to the lowest point of the Gyroelongated Square Dipyramid. Check FAQs

h = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot (\sqrt{\frac{SA Total}{4 \cdot \sqrt{3}}})

h - Height of Gyroelongated Square Dipyramid?SA_Total - TSA of Gyroelongated Square Dipyramid?

Height of Gyroelongated Square Dipyramid given Total Surface Area Example

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Here is how the Height of Gyroelongated Square Dipyramid given Total Surface Area equation looks like with Values.

Here is how the Height of Gyroelongated Square Dipyramid given Total Surface Area equation looks like with Units.

Here is how the Height of Gyroelongated Square Dipyramid given Total Surface Area equation looks like.

22.6676 = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot (\sqrt{\frac{700}{4 \cdot \sqrt{3}}})

22.6676m = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot (\sqrt{\frac{700m²}{4 \cdot \sqrt{3}}})

22.6676 = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot (\sqrt{\frac{700}{4 \cdot \sqrt{3}}})

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Height of Gyroelongated Square Dipyramid given Total Surface Area Solution

Follow our step by step solution on how to calculate Height of Gyroelongated Square Dipyramid given Total Surface Area?

FIRST Step Consider the formula

h = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot (\sqrt{\frac{SA Total}{4 \cdot \sqrt{3}}})

Next Step Substitute values of Variables

∴

h = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot (\sqrt{\frac{700m²}{4 \cdot \sqrt{3}}})

Next Step Prepare to Evaluate

∴

h = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot (\sqrt{\frac{700}{4 \cdot \sqrt{3}}})

Next Step Evaluate

∴

h = 22.6676468085399m

LAST Step Rounding Answer

∴

h = 22.6676m

Height of Gyroelongated Square Dipyramid given Total Surface Area Formula Elements

Variables

Functions

Height of Gyroelongated Square Dipyramid

Height of Gyroelongated Square Dipyramid is the vertical distance from the highest point to the lowest point of the Gyroelongated Square Dipyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Gyroelongated Square Dipyramid

TSA of Gyroelongated Square Dipyramid

TSA of Gyroelongated Square Dipyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Square Dipyramid.

Symbol: SA_Total

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find TSA of Gyroelongated Square Dipyramid

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 Height of Gyroelongated Square Dipyramid

Go Height of Gyroelongated Square Dipyramid

h = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot l e

Go Height of Gyroelongated Square Dipyramid given Volume

h = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot {(\frac{3 \cdot V}{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}})}^{\frac{1}{3}}

Go Height of Gyroelongated Square Dipyramid given Surface to Volume Ratio

h = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot AV}

How to Evaluate Height of Gyroelongated Square Dipyramid given Total Surface Area?

Height of Gyroelongated Square Dipyramid given Total Surface Area evaluator uses Height of Gyroelongated Square Dipyramid = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3)))) to evaluate the Height of Gyroelongated Square Dipyramid, The Height of Gyroelongated Square Dipyramid given Total Surface Area formula is defined as the vertical distance from the highest point to the lowest point of the Gyroelongated Square Dipyramid and is calculated using the total surface area of the Gyroelongated Square Dipyramid. Height of Gyroelongated Square Dipyramid is denoted by h symbol.

How to evaluate Height of Gyroelongated Square Dipyramid given Total Surface Area using this online evaluator? To use this online evaluator for Height of Gyroelongated Square Dipyramid given Total Surface Area, enter TSA of Gyroelongated Square Dipyramid (SA_Total) and hit the calculate button.

FAQs on Height of Gyroelongated Square Dipyramid given Total Surface Area

What is the formula to find Height of Gyroelongated Square Dipyramid given Total Surface Area?

The formula of Height of Gyroelongated Square Dipyramid given Total Surface Area is expressed as Height of Gyroelongated Square Dipyramid = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3)))). Here is an example- 22.66765 = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(700/(4*sqrt(3)))).

How to calculate Height of Gyroelongated Square Dipyramid given Total Surface Area?

With TSA of Gyroelongated Square Dipyramid (SA_Total) we can find Height of Gyroelongated Square Dipyramid given Total Surface Area using the formula - Height of Gyroelongated Square Dipyramid = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Gyroelongated Square Dipyramid?

Here are the different ways to Calculate Height of Gyroelongated Square Dipyramid-

Height of Gyroelongated Square Dipyramid=(sqrt(1-1/(2+sqrt(2)))+sqrt(2))*Edge Length of Gyroelongated Square Dipyramid
Height of Gyroelongated Square Dipyramid=(sqrt(1-1/(2+sqrt(2)))+sqrt(2))*((3*Volume of Gyroelongated Square Dipyramid)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3)
Height of Gyroelongated Square Dipyramid=(sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*SA:V of Gyroelongated Square Dipyramid)

Can the Height of Gyroelongated Square Dipyramid given Total Surface Area be negative?

No, the Height of Gyroelongated Square Dipyramid given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Height of Gyroelongated Square Dipyramid given Total Surface Area?

Height of Gyroelongated Square Dipyramid 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 Height of Gyroelongated Square Dipyramid given Total Surface Area can be measured.

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