Height of Pentagonal Bipyramid given Volume Calculator

✖Volume of Pentagonal Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid.ⓘ Volume of Pentagonal Bipyramid [V]

+10%

-10%

✖Height of Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid.ⓘ Height of Pentagonal Bipyramid given Volume [h]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Height of Pentagonal Bipyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3)
h = 2*sqrt((5-sqrt(5))/10)*((12*V)/(5+sqrt(5)))^(1/3)
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

Height of Pentagonal Bipyramid - (Measured in Meter) - Height of Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid.
Volume of Pentagonal Bipyramid - (Measured in Cubic Meter) - Volume of Pentagonal Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid.

STEP 1: Convert Input(s) to Base Unit

Volume of Pentagonal Bipyramid: 600 Cubic Meter --> 600 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = 2*sqrt((5-sqrt(5))/10)*((12*V)/(5+sqrt(5)))^(1/3) --> 2*sqrt((5-sqrt(5))/10)*((12*600)/(5+sqrt(5)))^(1/3)

Evaluating ... ...

h = 10.497123189216

STEP 3: Convert Result to Output's Unit

10.497123189216 Meter --> No Conversion Required

FINAL ANSWER

10.497123189216 ≈ 10.49712 Meter <-- Height of Pentagonal Bipyramid

(Calculation completed in 00.007 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Johnson Bipyramids » Pentagonal Bipyramid » Height of Pentagonal Bipyramid » Height of Pentagonal Bipyramid given Volume

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!

< Height of Pentagonal Bipyramid Calculators

Height of Pentagonal Bipyramid given Surface to Volume Ratio

LaTeX Go Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid)

Height of Pentagonal Bipyramid given Total Surface Area

LaTeX Go Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3)))

Height of Pentagonal Bipyramid given Volume

LaTeX Go Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3)

Height of Pentagonal Bipyramid

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

Height of Pentagonal Bipyramid given Volume Formula

LaTeX Go

Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3)
h = 2*sqrt((5-sqrt(5))/10)*((12*V)/(5+sqrt(5)))^(1/3)

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 Height of Pentagonal Bipyramid given Volume?

Height of Pentagonal Bipyramid given Volume calculator uses Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3) to calculate the Height of Pentagonal Bipyramid, The Height of Pentagonal Bipyramid given Volume formula is defined as the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid and is calculated using the volume of the Pentagonal Bipyramid. Height of Pentagonal Bipyramid is denoted by h symbol.

How to calculate Height of Pentagonal Bipyramid given Volume using this online calculator? To use this online calculator for Height of Pentagonal Bipyramid given Volume, enter Volume of Pentagonal Bipyramid (V) and hit the calculate button. Here is how the Height of Pentagonal Bipyramid given Volume calculation can be explained with given input values -> 10.49712 = 2*sqrt((5-sqrt(5))/10)*((12*600)/(5+sqrt(5)))^(1/3).

FAQ

What is Height of Pentagonal Bipyramid given Volume?

The Height of Pentagonal Bipyramid given Volume formula is defined as the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid and is calculated using the volume of the Pentagonal Bipyramid and is represented as h = 2*sqrt((5-sqrt(5))/10)*((12*V)/(5+sqrt(5)))^(1/3) or Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3). Volume of Pentagonal Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid.

How to calculate Height of Pentagonal Bipyramid given Volume?

The Height of Pentagonal Bipyramid given Volume formula is defined as the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid and is calculated using the volume of the Pentagonal Bipyramid is calculated using Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3). To calculate Height of Pentagonal Bipyramid given Volume, you need Volume of Pentagonal Bipyramid (V). With our tool, you need to enter the respective value for Volume 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 Height of Pentagonal Bipyramid?

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

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

Home

FREE PDFs

🔍 Search