Volume of Gyroelongated Square Pyramid Calculator

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

+10%

-10%

✖Volume of Gyroelongated Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Pyramid.ⓘ Volume of Gyroelongated Square Pyramid [V]

⎘ Copy

👎

Formula

✖

Volume of Gyroelongated Square Pyramid

Formula

`"V" = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*"l"_{"e"}^3`

Example

`"1192.702m³"=(sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*("10m")^3`

Calculator

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Volume of Gyroelongated Square Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*Edge Length of Gyroelongated Square Pyramid^3
V = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*l_e^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 Pyramid - (Measured in Cubic Meter) - Volume of Gyroelongated Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Pyramid.
Edge Length of Gyroelongated Square Pyramid - (Measured in Meter) - Edge Length of Gyroelongated Square Pyramid is the length of any edge of the Gyroelongated Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*l_e^3 --> (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*10^3

Evaluating ... ...

V = 1192.70224223223

STEP 3: Convert Result to Output's Unit

1192.70224223223 Cubic Meter --> No Conversion Required

FINAL ANSWER

1192.70224223223 ≈ 1192.702 Cubic Meter <-- Volume of Gyroelongated Square Pyramid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Gyroelongated Pyramids » Gyroelongated Square Pyramid » Volume of Gyroelongated Square Pyramid » Volume of Gyroelongated Square Pyramid

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 Pyramid Calculators

Volume of Gyroelongated Square Pyramid given Surface to Volume Ratio

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

Volume of Gyroelongated Square Pyramid given Height

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

Volume of Gyroelongated Square Pyramid given Total Surface Area

Go Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*(sqrt(TSA of Gyroelongated Square Pyramid/(1+(3*sqrt(3)))))^3

Volume of Gyroelongated Square Pyramid

Go Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*Edge Length of Gyroelongated Square Pyramid^3

Volume of Gyroelongated Square Pyramid Formula

Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*Edge Length of Gyroelongated Square Pyramid^3
V = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*l_e^3

What is a Gyroelongated Square Pyramid?

The Gyroelongated Square Pyramid is a regular johnson square pyramid with a matching antiprism attached to the base, which is the Johnson solid generally denoted by J10. It consists of 13 faces which include 12 equilateral triangles as side surfaces, and a square as the base surface. Also, It has 20 edges and 9 vertices.

How to Calculate Volume of Gyroelongated Square Pyramid?

Volume of Gyroelongated Square Pyramid calculator uses Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*Edge Length of Gyroelongated Square Pyramid^3 to calculate the Volume of Gyroelongated Square Pyramid, The Volume of Gyroelongated Square Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Pyramid. Volume of Gyroelongated Square Pyramid is denoted by V symbol.

How to calculate Volume of Gyroelongated Square Pyramid using this online calculator? To use this online calculator for Volume of Gyroelongated Square Pyramid, enter Edge Length of Gyroelongated Square Pyramid (l_e) and hit the calculate button. Here is how the Volume of Gyroelongated Square Pyramid calculation can be explained with given input values -> 1192.702 = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*10^3.

FAQ

What is Volume of Gyroelongated Square Pyramid?

The Volume of Gyroelongated Square Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Pyramid and is represented as V = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*l_e^3 or Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*Edge Length of Gyroelongated Square Pyramid^3. Edge Length of Gyroelongated Square Pyramid is the length of any edge of the Gyroelongated Square Pyramid.

How to calculate Volume of Gyroelongated Square Pyramid?

The Volume of Gyroelongated Square Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Pyramid is calculated using Volume of Gyroelongated Square Pyramid = (sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3*Edge Length of Gyroelongated Square Pyramid^3. To calculate Volume of Gyroelongated Square Pyramid, you need Edge Length of Gyroelongated Square Pyramid (l_e). With our tool, you need to enter the respective value for Edge Length of Gyroelongated Square Pyramid 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 Pyramid?

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

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

Home

FREE PDFs

🔍 Search