Height of Gyroelongated Square Dipyramid given Total Surface Area Calculator

✖TSA of Gyroelongated Square Dipyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Square Dipyramid.ⓘ TSA of Gyroelongated Square Dipyramid [SA_Total]

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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.ⓘ Height of Gyroelongated Square Dipyramid given Total Surface Area [h]

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Height of Gyroelongated Square Dipyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Gyroelongated Square Dipyramid = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))
h = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(SA_Total/(4*sqrt(3))))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Height of Gyroelongated Square Dipyramid - (Measured in Meter) - Height of Gyroelongated Square Dipyramid is the vertical distance from the highest point to the lowest point of the Gyroelongated Square Dipyramid.
TSA of Gyroelongated Square Dipyramid - (Measured in Square Meter) - TSA of Gyroelongated Square Dipyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Square Dipyramid.

STEP 1: Convert Input(s) to Base Unit

TSA of Gyroelongated Square Dipyramid: 700 Square Meter --> 700 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(SA_Total/(4*sqrt(3)))) --> (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(700/(4*sqrt(3))))

Evaluating ... ...

h = 22.6676468085399

STEP 3: Convert Result to Output's Unit

22.6676468085399 Meter --> No Conversion Required

FINAL ANSWER

22.6676468085399 ≈ 22.66765 Meter <-- Height of Gyroelongated Square Dipyramid

(Calculation completed in 00.007 seconds)

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< Height of Gyroelongated Square Dipyramid Calculators

Height of Gyroelongated Square Dipyramid given Surface to Volume Ratio

LaTeX Go 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)

Height of Gyroelongated Square Dipyramid given Volume

LaTeX Go 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 given Total Surface Area

LaTeX Go Height of Gyroelongated Square Dipyramid = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))

Height of Gyroelongated Square Dipyramid

LaTeX Go Height of Gyroelongated Square Dipyramid = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*Edge Length of Gyroelongated Square Dipyramid

Height of Gyroelongated Square Dipyramid given Total Surface Area Formula

LaTeX Go

Height of Gyroelongated Square Dipyramid = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))
h = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(SA_Total/(4*sqrt(3))))

What is a Gyroelongated Square Dipyramid?

The Gyroelongated Square Dipyramid is a regular johnson square pyramid with a matching antiprism attached to the base and another regular square pyramid to the other side, which is the Johnson solid generally denoted by J17. It consists of 16 equilateral triangular faces. Also, It has 24 edges and 10 vertices.

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

Height of Gyroelongated Square Dipyramid given Total Surface Area calculator uses Height of Gyroelongated Square Dipyramid = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3)))) to calculate 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 calculate Height of Gyroelongated Square Dipyramid given Total Surface Area using this online calculator? To use this online calculator for Height of Gyroelongated Square Dipyramid given Total Surface Area, enter TSA of Gyroelongated Square Dipyramid (SA_Total) and hit the calculate button. Here is how the Height of Gyroelongated Square Dipyramid given Total Surface Area calculation can be explained with given input values -> 22.66765 = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(700/(4*sqrt(3)))).

FAQ

What is Height of Gyroelongated Square Dipyramid given Total Surface Area?

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 and is represented as h = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(SA_Total/(4*sqrt(3)))) or Height of Gyroelongated Square Dipyramid = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3)))). TSA of Gyroelongated Square Dipyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Square Dipyramid.

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

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 is calculated using Height of Gyroelongated Square Dipyramid = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3)))). To calculate Height of Gyroelongated Square Dipyramid given Total Surface Area, you need TSA of Gyroelongated Square Dipyramid (SA_Total). With our tool, you need to enter the respective value for TSA of Gyroelongated Square Dipyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Gyroelongated Square Dipyramid?

In this formula, Height of Gyroelongated Square Dipyramid uses TSA of Gyroelongated Square Dipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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