Volume of Pentagonal Bipyramid given Height Calculator

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

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

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Volume of Pentagonal Bipyramid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Height of Pentagonal Bipyramid: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (5+sqrt(5))/12*(h/(2*sqrt((5-sqrt(5))/10)))^3 --> (5+sqrt(5))/12*(11/(2*sqrt((5-sqrt(5))/10)))^3

Evaluating ... ...

V = 690.428045245621

STEP 3: Convert Result to Output's Unit

690.428045245621 Cubic Meter --> No Conversion Required

FINAL ANSWER

690.428045245621 ≈ 690.428 Cubic Meter <-- Volume of Pentagonal Bipyramid

(Calculation completed in 00.004 seconds)

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< Volume of Pentagonal Bipyramid Calculators

Volume of Pentagonal Bipyramid given Surface to Volume Ratio

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

Volume of Pentagonal Bipyramid given Total Surface Area

LaTeX Go Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))^3

Volume of Pentagonal Bipyramid given Height

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

Volume of Pentagonal Bipyramid

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

Volume of Pentagonal Bipyramid given Height Formula

LaTeX Go

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

Volume of Pentagonal Bipyramid given Height calculator uses Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^3 to calculate the Volume of Pentagonal Bipyramid, The Volume of Pentagonal Bipyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid and is calculated using the height of the Pentagonal Bipyramid. Volume of Pentagonal Bipyramid is denoted by V symbol.

How to calculate Volume of Pentagonal Bipyramid given Height using this online calculator? To use this online calculator for Volume of Pentagonal Bipyramid given Height, enter Height of Pentagonal Bipyramid (h) and hit the calculate button. Here is how the Volume of Pentagonal Bipyramid given Height calculation can be explained with given input values -> 690.428 = (5+sqrt(5))/12*(11/(2*sqrt((5-sqrt(5))/10)))^3.

FAQ

What is Volume of Pentagonal Bipyramid given Height?

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

How to calculate Volume of Pentagonal Bipyramid given Height?

The Volume of Pentagonal Bipyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Bipyramid and is calculated using the height of the Pentagonal Bipyramid is calculated using Volume of Pentagonal Bipyramid = (5+sqrt(5))/12*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^3. To calculate Volume of Pentagonal Bipyramid given Height, you need Height of Pentagonal Bipyramid (h). With our tool, you need to enter the respective value for Height 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 Volume of Pentagonal Bipyramid?

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

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

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