Volume of Elongated Square Bipyramid given Total Surface Area Calculator

✖Total Surface Area of Elongated Square Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Square Bipyramid.ⓘ Total Surface Area of Elongated Square Bipyramid [TSA]

+10%

-10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Volume of Elongated Square Bipyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*(sqrt(Total Surface Area of Elongated Square Bipyramid/(4+2*sqrt(3))))^3
V = (1+sqrt(2)/3)*(sqrt(TSA/(4+2*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 Elongated Square Bipyramid - (Measured in Cubic Meter) - Volume of Elongated Square Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Bipyramid.
Total Surface Area of Elongated Square Bipyramid - (Measured in Square Meter) - Total Surface Area of Elongated Square Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Square Bipyramid.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Elongated Square Bipyramid: 750 Square Meter --> 750 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (1+sqrt(2)/3)*(sqrt(TSA/(4+2*sqrt(3))))^3 --> (1+sqrt(2)/3)*(sqrt(750/(4+2*sqrt(3))))^3

Evaluating ... ...

V = 1482.03229115418

STEP 3: Convert Result to Output's Unit

1482.03229115418 Cubic Meter --> No Conversion Required

FINAL ANSWER

1482.03229115418 ≈ 1482.032 Cubic Meter <-- Volume of Elongated Square Bipyramid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Elongated Bipyramid » Elongated Square Bipyramid » Volume of Elongated Square Bipyramid » Volume of Elongated Square Bipyramid 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!

< Volume of Elongated Square Bipyramid Calculators

Volume of Elongated Square Bipyramid given Total Surface Area

LaTeX Go Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*(sqrt(Total Surface Area of Elongated Square Bipyramid/(4+2*sqrt(3))))^3

Volume of Elongated Square Bipyramid given Surface to Volume Ratio

LaTeX Go Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*((4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid))^3

Volume of Elongated Square Bipyramid given Height

LaTeX Go Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*(Height of Elongated Square Bipyramid/(sqrt(2)+1))^3

Volume of Elongated Square Bipyramid

LaTeX Go Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*Edge Length of Elongated Square Bipyramid^3

Volume of Elongated Square Bipyramid given Total Surface Area Formula

LaTeX Go

Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*(sqrt(Total Surface Area of Elongated Square Bipyramid/(4+2*sqrt(3))))^3
V = (1+sqrt(2)/3)*(sqrt(TSA/(4+2*sqrt(3))))^3

What is an Elongated Square Bipyramid?

The Elongated Square Bipyramid is a regular elongated square pyramid with another regular pyramid attached on the other side, which is the Johnson solid generally denoted by J15. It consists of 12 faces which include 8 equilateral triangles as pyramid faces, and 4 squares as side surfaces. Also, It has 20 edges and 10 vertices.

How to Calculate Volume of Elongated Square Bipyramid given Total Surface Area?

Volume of Elongated Square Bipyramid given Total Surface Area calculator uses Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*(sqrt(Total Surface Area of Elongated Square Bipyramid/(4+2*sqrt(3))))^3 to calculate the Volume of Elongated Square Bipyramid, The Volume of Elongated Square Bipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Bipyramid and is calculated using the total surface area of the Elongated Square Bipyramid. Volume of Elongated Square Bipyramid is denoted by V symbol.

How to calculate Volume of Elongated Square Bipyramid given Total Surface Area using this online calculator? To use this online calculator for Volume of Elongated Square Bipyramid given Total Surface Area, enter Total Surface Area of Elongated Square Bipyramid (TSA) and hit the calculate button. Here is how the Volume of Elongated Square Bipyramid given Total Surface Area calculation can be explained with given input values -> 1482.032 = (1+sqrt(2)/3)*(sqrt(750/(4+2*sqrt(3))))^3.

FAQ

What is Volume of Elongated Square Bipyramid given Total Surface Area?

The Volume of Elongated Square Bipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Bipyramid and is calculated using the total surface area of the Elongated Square Bipyramid and is represented as V = (1+sqrt(2)/3)*(sqrt(TSA/(4+2*sqrt(3))))^3 or Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*(sqrt(Total Surface Area of Elongated Square Bipyramid/(4+2*sqrt(3))))^3. Total Surface Area of Elongated Square Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Square Bipyramid.

How to calculate Volume of Elongated Square Bipyramid given Total Surface Area?

The Volume of Elongated Square Bipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Bipyramid and is calculated using the total surface area of the Elongated Square Bipyramid is calculated using Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*(sqrt(Total Surface Area of Elongated Square Bipyramid/(4+2*sqrt(3))))^3. To calculate Volume of Elongated Square Bipyramid given Total Surface Area, you need Total Surface Area of Elongated Square Bipyramid (TSA). With our tool, you need to enter the respective value for Total Surface Area of Elongated Square Bipyramid 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 Elongated Square Bipyramid?

In this formula, Volume of Elongated Square Bipyramid uses Total Surface Area of Elongated Square Bipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*Edge Length of Elongated Square Bipyramid^3
Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*(Height of Elongated Square Bipyramid/(sqrt(2)+1))^3
Volume of Elongated Square Bipyramid = (1+sqrt(2)/3)*((4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid))^3

Home

FREE PDFs

🔍 Search