Volume of Elongated Triangular Bipyramid given Total Surface Area Calculator

✖TSA of Elongated Triangular Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Bipyramid.ⓘ TSA of Elongated Triangular Bipyramid [SA_Total]

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

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Formula

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Volume of Elongated Triangular Bipyramid given Total Surface Area

Formula

`"V" = ((2*sqrt(2))+(3*sqrt(3)))/12*(sqrt("SA"_{"Total"}/(3/2*(2+sqrt(3)))))^3`

Example

`"669.0597m³"=((2*sqrt(2))+(3*sqrt(3)))/12*(sqrt("560m²"/(3/2*(2+sqrt(3)))))^3`

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Volume of Elongated Triangular Bipyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*(sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3)))))^3
V = ((2*sqrt(2))+(3*sqrt(3)))/12*(sqrt(SA_Total/(3/2*(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 Triangular Bipyramid - (Measured in Cubic Meter) - Volume of Elongated Triangular Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Bipyramid.
TSA of Elongated Triangular Bipyramid - (Measured in Square Meter) - TSA of Elongated Triangular Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Bipyramid.

STEP 1: Convert Input(s) to Base Unit

TSA of Elongated Triangular Bipyramid: 560 Square Meter --> 560 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((2*sqrt(2))+(3*sqrt(3)))/12*(sqrt(SA_Total/(3/2*(2+sqrt(3)))))^3 --> ((2*sqrt(2))+(3*sqrt(3)))/12*(sqrt(560/(3/2*(2+sqrt(3)))))^3

Evaluating ... ...

V = 669.059699494279

STEP 3: Convert Result to Output's Unit

669.059699494279 Cubic Meter --> No Conversion Required

FINAL ANSWER

669.059699494279 ≈ 669.0597 Cubic Meter <-- Volume of Elongated Triangular Bipyramid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Johnson Solids » Elongated Bipyramid » Elongated Triangular Bipyramid » Volume of Elongated Triangular Bipyramid » Volume of Elongated Triangular Bipyramid given Total Surface Area

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< 4 Volume of Elongated Triangular Bipyramid Calculators

Volume of Elongated Triangular Bipyramid given Surface to Volume Ratio

Go Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*((3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*SA:V of Elongated Triangular Bipyramid))^3

Volume of Elongated Triangular Bipyramid given Total Surface Area

Go Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*(sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3)))))^3

Volume of Elongated Triangular Bipyramid given Height

Go Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/(((2*sqrt(6))/3)+1))^3

Volume of Elongated Triangular Bipyramid

Go Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Bipyramid^3

Volume of Elongated Triangular Bipyramid given Total Surface Area Formula

What is an Elongated Triangular Bipyramid?

The Elongated Triangular Bipyramid is a regular elongated triangular pyramid with another regular pyramid attached on the other side, which is the Johnson solid generally denoted by J14. It consists of 9 faces which include 6 equilateral triangles as pyramid faces, and 3 squares as side surfaces. Also, It has 15 edges and 8 vertices.

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

Volume of Elongated Triangular Bipyramid given Total Surface Area calculator uses Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*(sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3)))))^3 to calculate the Volume of Elongated Triangular Bipyramid, The Volume of Elongated Triangular Bipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Bipyramid and is calculated using the total surface area of the Elongated Triangular Bipyramid. Volume of Elongated Triangular Bipyramid is denoted by V symbol.

How to calculate Volume of Elongated Triangular Bipyramid given Total Surface Area using this online calculator? To use this online calculator for Volume of Elongated Triangular Bipyramid given Total Surface Area, enter TSA of Elongated Triangular Bipyramid (SA_Total) and hit the calculate button. Here is how the Volume of Elongated Triangular Bipyramid given Total Surface Area calculation can be explained with given input values -> 669.0597 = ((2*sqrt(2))+(3*sqrt(3)))/12*(sqrt(560/(3/2*(2+sqrt(3)))))^3.

FAQ

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

The Volume of Elongated Triangular Bipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Bipyramid and is calculated using the total surface area of the Elongated Triangular Bipyramid and is represented as V = ((2*sqrt(2))+(3*sqrt(3)))/12*(sqrt(SA_Total/(3/2*(2+sqrt(3)))))^3 or Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*(sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3)))))^3. TSA of Elongated Triangular Bipyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Bipyramid.

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

The Volume of Elongated Triangular Bipyramid given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Bipyramid and is calculated using the total surface area of the Elongated Triangular Bipyramid is calculated using Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*(sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3)))))^3. To calculate Volume of Elongated Triangular Bipyramid given Total Surface Area, you need TSA of Elongated Triangular Bipyramid (SA_Total). With our tool, you need to enter the respective value for TSA of Elongated Triangular 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 Triangular Bipyramid?

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

Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Bipyramid^3
Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/(((2*sqrt(6))/3)+1))^3
Volume of Elongated Triangular Bipyramid = ((2*sqrt(2))+(3*sqrt(3)))/12*((3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*SA:V of Elongated Triangular Bipyramid))^3

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