Volume 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]

+10%

-10%

✖Volume of Gyroelongated Square Dipyramid is the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Dipyramid.ⓘ Volume of Gyroelongated Square Dipyramid given Total Surface Area [V]

⎘ Copy

👎

Formula

✖

Volume of Gyroelongated Square Dipyramid given Total Surface Area

Formula

`"V" = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt("SA"_{"Total"}/(4*sqrt(3))))^3`

Example

`"1450.666m³"=(sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt("700m²"/(4*sqrt(3))))^3`

Calculator

LaTeX

Reset

👍

Download Johnson Solids Formula PDF

Volume of Gyroelongated Square Dipyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))^3
V = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(SA_Total/(4*sqrt(3))))^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

Volume of Gyroelongated Square Dipyramid - (Measured in Cubic Meter) - Volume of Gyroelongated Square Dipyramid is the total quantity of three-dimensional space enclosed by the surface 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

V = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(SA_Total/(4*sqrt(3))))^3 --> (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(700/(4*sqrt(3))))^3

Evaluating ... ...

V = 1450.66569975036

STEP 3: Convert Result to Output's Unit

1450.66569975036 Cubic Meter --> No Conversion Required

FINAL ANSWER

1450.66569975036 ≈ 1450.666 Cubic Meter <-- Volume of Gyroelongated Square Dipyramid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Gyroelongated Square Dipyramid » Volume of Gyroelongated Square Dipyramid » Volume of Gyroelongated Square Dipyramid given Total Surface Area

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 Volume of Gyroelongated Square Dipyramid Calculators

Volume of Gyroelongated Square Dipyramid given Surface to Volume Ratio

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

Volume of Gyroelongated Square Dipyramid given Height

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

Volume of Gyroelongated Square Dipyramid given Total Surface Area

Go Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))^3

Volume of Gyroelongated Square Dipyramid

Go Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*Edge Length of Gyroelongated Square Dipyramid^3

Volume of Gyroelongated Square Dipyramid given Total Surface Area Formula

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 Volume of Gyroelongated Square Dipyramid given Total Surface Area?

Volume of Gyroelongated Square Dipyramid given Total Surface Area calculator uses Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))^3 to calculate the Volume of Gyroelongated Square Dipyramid, The Volume of Gyroelongated Square Dipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Dipyramid and is calculated using the total surface area of the Gyroelongated Square Dipyramid. Volume of Gyroelongated Square Dipyramid is denoted by V symbol.

How to calculate Volume of Gyroelongated Square Dipyramid given Total Surface Area using this online calculator? To use this online calculator for Volume 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 Volume of Gyroelongated Square Dipyramid given Total Surface Area calculation can be explained with given input values -> 1450.666 = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(700/(4*sqrt(3))))^3.

FAQ

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

The Volume of Gyroelongated Square Dipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Dipyramid and is calculated using the total surface area of the Gyroelongated Square Dipyramid and is represented as V = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(SA_Total/(4*sqrt(3))))^3 or Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))^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 Volume of Gyroelongated Square Dipyramid given Total Surface Area?

The Volume of Gyroelongated Square Dipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Dipyramid and is calculated using the total surface area of the Gyroelongated Square Dipyramid is calculated using Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))^3. To calculate Volume 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 Volume of Gyroelongated Square Dipyramid?

In this formula, Volume 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 -

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

Home

FREE PDFs

🔍 Search