Edge Length of Pentagonal Bipyramid given Total Surface Area Calculator

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

+10%

-10%

✖Edge Length of Pentagonal Bipyramid is the length of any edge of the Pentagonal Bipyramid.ⓘ Edge Length of Pentagonal Bipyramid given Total Surface Area [l_e]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Edge Length of Pentagonal Bipyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Pentagonal Bipyramid = sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3)))
l_e = sqrt((2*TSA)/(5*sqrt(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

Edge Length of Pentagonal Bipyramid - (Measured in Meter) - Edge Length of Pentagonal Bipyramid is the length of any edge of the Pentagonal Bipyramid.
Total Surface Area of Pentagonal Bipyramid - (Measured in Square Meter) - Total Surface Area of Pentagonal Bipyramid is the total amount of two dimensional space occupied by all the faces of the Pentagonal Bipyramid.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Pentagonal Bipyramid: 430 Square Meter --> 430 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt((2*TSA)/(5*sqrt(3))) --> sqrt((2*430)/(5*sqrt(3)))

Evaluating ... ...

l_e = 9.96515159446236

STEP 3: Convert Result to Output's Unit

9.96515159446236 Meter --> No Conversion Required

FINAL ANSWER

9.96515159446236 ≈ 9.965152 Meter <-- Edge Length of Pentagonal Bipyramid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Johnson Bipyramids » Pentagonal Bipyramid » Edge Length of Pentagonal Bipyramid » Edge Length of Pentagonal 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!

< Edge Length of Pentagonal Bipyramid Calculators

Edge Length of Pentagonal Bipyramid given Surface to Volume Ratio

LaTeX Go Edge Length of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid)

Edge Length of Pentagonal Bipyramid given Total Surface Area

LaTeX Go Edge Length of Pentagonal Bipyramid = sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3)))

Edge Length of Pentagonal Bipyramid given Height

LaTeX Go Edge Length of Pentagonal Bipyramid = Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10))

Edge Length of Pentagonal Bipyramid given Volume

LaTeX Go Edge Length of Pentagonal Bipyramid = ((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3)

Edge Length of Pentagonal Bipyramid given Total Surface Area Formula

LaTeX Go

Edge Length of Pentagonal Bipyramid = sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3)))
l_e = sqrt((2*TSA)/(5*sqrt(3)))

What is a Pentagonal Bipyramid?

A Pentagonal Bipyramid is made of two pentagonal Johnson pyramids which are stuck together at their bases, which is the Johnson solid generally denoted by J13. It consists of 10 faces which are all equilateral triangles. Also, It has 15 edges and 7 vertices.

How to Calculate Edge Length of Pentagonal Bipyramid given Total Surface Area?

Edge Length of Pentagonal Bipyramid given Total Surface Area calculator uses Edge Length of Pentagonal Bipyramid = sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))) to calculate the Edge Length of Pentagonal Bipyramid, The Edge Length of Pentagonal Bipyramid given Total Surface Area formula is defined as the length of any edge of the Pentagonal Bipyramid and is calculated using the total surface area of the Pentagonal Bipyramid. Edge Length of Pentagonal Bipyramid is denoted by l_e symbol.

How to calculate Edge Length of Pentagonal Bipyramid given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Pentagonal Bipyramid given Total Surface Area, enter Total Surface Area of Pentagonal Bipyramid (TSA) and hit the calculate button. Here is how the Edge Length of Pentagonal Bipyramid given Total Surface Area calculation can be explained with given input values -> 9.965152 = sqrt((2*430)/(5*sqrt(3))).

FAQ

What is Edge Length of Pentagonal Bipyramid given Total Surface Area?

The Edge Length of Pentagonal Bipyramid given Total Surface Area formula is defined as the length of any edge of the Pentagonal Bipyramid and is calculated using the total surface area of the Pentagonal Bipyramid and is represented as l_e = sqrt((2*TSA)/(5*sqrt(3))) or Edge Length of Pentagonal Bipyramid = sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))). Total Surface Area of Pentagonal Bipyramid is the total amount of two dimensional space occupied by all the faces of the Pentagonal Bipyramid.

How to calculate Edge Length of Pentagonal Bipyramid given Total Surface Area?

The Edge Length of Pentagonal Bipyramid given Total Surface Area formula is defined as the length of any edge of the Pentagonal Bipyramid and is calculated using the total surface area of the Pentagonal Bipyramid is calculated using Edge Length of Pentagonal Bipyramid = sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))). To calculate Edge Length of Pentagonal Bipyramid given Total Surface Area, you need Total Surface Area of Pentagonal Bipyramid (TSA). With our tool, you need to enter the respective value for Total Surface Area of Pentagonal 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 Edge Length of Pentagonal Bipyramid?

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

Edge Length of Pentagonal Bipyramid = Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10))
Edge Length of Pentagonal Bipyramid = ((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3)
Edge Length of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid)

Home

FREE PDFs

🔍 Search