Surface to Volume Ratio of Gyroelongated Square Dipyramid Calculator

✖Edge Length of Gyroelongated Square Dipyramid is the length of any edge of the Gyroelongated Square Dipyramid.ⓘ Edge Length of Gyroelongated Square Dipyramid [l_e]

+10%

-10%

✖SA:V of Gyroelongated Square Dipyramid is the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid.ⓘ Surface to Volume Ratio of Gyroelongated Square Dipyramid [AV]

⎘ Copy

👎

Formula

✖

Surface to Volume Ratio of Gyroelongated Square Dipyramid

Formula

`"AV" = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*"l"_{"e"})`

Example

`"0.485031m⁻¹"=(12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*"10m")`

Calculator

LaTeX

Reset

👍

Download Johnson Solids Formula PDF

Surface to Volume Ratio of Gyroelongated Square Dipyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Edge Length of Gyroelongated Square Dipyramid)
AV = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*l_e)
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

SA:V of Gyroelongated Square Dipyramid - (Measured in 1 per Meter) - SA:V of Gyroelongated Square Dipyramid is the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid.
Edge Length of Gyroelongated Square Dipyramid - (Measured in Meter) - Edge Length of Gyroelongated Square Dipyramid is the length of any edge of the Gyroelongated Square Dipyramid.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Gyroelongated Square Dipyramid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*l_e) --> (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*10)

Evaluating ... ...

AV = 0.4850309010879

STEP 3: Convert Result to Output's Unit

0.4850309010879 1 per Meter --> No Conversion Required

FINAL ANSWER

0.4850309010879 ≈ 0.485031 1 per Meter <-- SA:V of Gyroelongated Square Dipyramid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Gyroelongated Square Dipyramid » Surface to Volume Ratio of Gyroelongated Square Dipyramid » Surface to Volume Ratio of Gyroelongated Square Dipyramid

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 4 Surface to Volume Ratio of Gyroelongated Square Dipyramid Calculators

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume

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

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height

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

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Total Surface Area

Go SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))

Surface to Volume Ratio of Gyroelongated Square Dipyramid

Go SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Edge Length of Gyroelongated Square Dipyramid)

Surface to Volume Ratio of Gyroelongated Square Dipyramid Formula

SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Edge Length of Gyroelongated Square Dipyramid)
AV = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*l_e)

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 Surface to Volume Ratio of Gyroelongated Square Dipyramid?

Surface to Volume Ratio of Gyroelongated Square Dipyramid calculator uses SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Edge Length of Gyroelongated Square Dipyramid) to calculate the SA:V of Gyroelongated Square Dipyramid, The Surface to Volume Ratio of Gyroelongated Square Dipyramid formula is defined as the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid. SA:V of Gyroelongated Square Dipyramid is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Gyroelongated Square Dipyramid using this online calculator? To use this online calculator for Surface to Volume Ratio of Gyroelongated Square Dipyramid, enter Edge Length of Gyroelongated Square Dipyramid (l_e) and hit the calculate button. Here is how the Surface to Volume Ratio of Gyroelongated Square Dipyramid calculation can be explained with given input values -> 0.485031 = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*10).

FAQ

What is Surface to Volume Ratio of Gyroelongated Square Dipyramid?

The Surface to Volume Ratio of Gyroelongated Square Dipyramid formula is defined as the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid and is represented as AV = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*l_e) or SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Edge Length of Gyroelongated Square Dipyramid). Edge Length of Gyroelongated Square Dipyramid is the length of any edge of the Gyroelongated Square Dipyramid.

How to calculate Surface to Volume Ratio of Gyroelongated Square Dipyramid?

The Surface to Volume Ratio of Gyroelongated Square Dipyramid formula is defined as the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid is calculated using SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Edge Length of Gyroelongated Square Dipyramid). To calculate Surface to Volume Ratio of Gyroelongated Square Dipyramid, you need Edge Length of Gyroelongated Square Dipyramid (l_e). With our tool, you need to enter the respective value for Edge Length 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 SA:V of Gyroelongated Square Dipyramid?

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

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

Home

FREE PDFs

🔍 Search