Surface to Volume Ratio of Elongated Triangular Bipyramid given Height Calculator

✖Height of Elongated Triangular Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Triangular Bipyramid.ⓘ Height of Elongated Triangular Bipyramid [h]

+10%

-10%

✖SA:V of Elongated Triangular Bipyramid is the numerical ratio of the total surface area of the Elongated Triangular Bipyramid to the volume of the Elongated Triangular Bipyramid.ⓘ Surface to Volume Ratio of Elongated Triangular Bipyramid given Height [AV]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Surface to Volume Ratio of Elongated Triangular Bipyramid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/((2*sqrt(6))/3+1)))
AV = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(h/((2*sqrt(6))/3+1)))
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 Elongated Triangular Bipyramid - (Measured in 1 per Meter) - SA:V of Elongated Triangular Bipyramid is the numerical ratio of the total surface area of the Elongated Triangular Bipyramid to the volume of the Elongated Triangular Bipyramid.
Height of Elongated Triangular Bipyramid - (Measured in Meter) - Height of Elongated Triangular Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Triangular Bipyramid.

STEP 1: Convert Input(s) to Base Unit

Height of Elongated Triangular Bipyramid: 26 Meter --> 26 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(h/((2*sqrt(6))/3+1))) --> (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(26/((2*sqrt(6))/3+1)))

Evaluating ... ...

AV = 0.847762397070731

STEP 3: Convert Result to Output's Unit

0.847762397070731 1 per Meter --> No Conversion Required

FINAL ANSWER

0.847762397070731 ≈ 0.847762 1 per Meter <-- SA:V of Elongated Triangular Bipyramid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Elongated Bipyramid » Elongated Triangular Bipyramid » Surface to Volume Ratio of Elongated Triangular Bipyramid » Surface to Volume Ratio of Elongated Triangular Bipyramid given Height

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!

< Surface to Volume Ratio of Elongated Triangular Bipyramid Calculators

Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume

LaTeX Go SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*((12*Volume of Elongated Triangular Bipyramid)/((2*sqrt(2))+(3*sqrt(3))))^(1/3))

Surface to Volume Ratio of Elongated Triangular Bipyramid given Total Surface Area

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

Surface to Volume Ratio of Elongated Triangular Bipyramid given Height

LaTeX Go SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/((2*sqrt(6))/3+1)))

Surface to Volume Ratio of Elongated Triangular Bipyramid

LaTeX Go SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Bipyramid)

Surface to Volume Ratio of Elongated Triangular Bipyramid given Height Formula

LaTeX Go

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 Surface to Volume Ratio of Elongated Triangular Bipyramid given Height?

Surface to Volume Ratio of Elongated Triangular Bipyramid given Height calculator uses SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/((2*sqrt(6))/3+1))) to calculate the SA:V of Elongated Triangular Bipyramid, The Surface to Volume Ratio of Elongated Triangular Bipyramid given Height formula is defined as the numerical ratio of the total surface area of the Elongated Triangular Bipyramid to the volume of the Elongated Triangular Bipyramid and is calculated using the height of the Elongated Triangular Bipyramid. SA:V of Elongated Triangular Bipyramid is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Elongated Triangular Bipyramid given Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Triangular Bipyramid given Height, enter Height of Elongated Triangular Bipyramid (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Triangular Bipyramid given Height calculation can be explained with given input values -> 0.847762 = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(26/((2*sqrt(6))/3+1))).

FAQ

What is Surface to Volume Ratio of Elongated Triangular Bipyramid given Height?

The Surface to Volume Ratio of Elongated Triangular Bipyramid given Height formula is defined as the numerical ratio of the total surface area of the Elongated Triangular Bipyramid to the volume of the Elongated Triangular Bipyramid and is calculated using the height of the Elongated Triangular Bipyramid and is represented as AV = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(h/((2*sqrt(6))/3+1))) or SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/((2*sqrt(6))/3+1))). Height of Elongated Triangular Bipyramid is the vertical distance from the highest point to the lowest point of the Elongated Triangular Bipyramid.

How to calculate Surface to Volume Ratio of Elongated Triangular Bipyramid given Height?

The Surface to Volume Ratio of Elongated Triangular Bipyramid given Height formula is defined as the numerical ratio of the total surface area of the Elongated Triangular Bipyramid to the volume of the Elongated Triangular Bipyramid and is calculated using the height of the Elongated Triangular Bipyramid is calculated using SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/((2*sqrt(6))/3+1))). To calculate Surface to Volume Ratio of Elongated Triangular Bipyramid given Height, you need Height of Elongated Triangular Bipyramid (h). With our tool, you need to enter the respective value for Height 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 SA:V of Elongated Triangular Bipyramid?

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

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

Home

FREE PDFs

🔍 Search