Volume of Elongated Pentagonal Pyramid given Height Calculator

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

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

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Formula

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Volume of Elongated Pentagonal Pyramid given Height

Formula

`"V" = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*("h"/(sqrt((5-sqrt(5))/10)+1))^3`

Example

`"1921.395m³"=((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*("15m"/(sqrt((5-sqrt(5))/10)+1))^3`

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Volume of Elongated Pentagonal Pyramid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^3
V = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(h/(sqrt((5-sqrt(5))/10)+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

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

STEP 1: Convert Input(s) to Base Unit

Height of Elongated Pentagonal Pyramid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(h/(sqrt((5-sqrt(5))/10)+1))^3 --> ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(15/(sqrt((5-sqrt(5))/10)+1))^3

Evaluating ... ...

V = 1921.39508705238

STEP 3: Convert Result to Output's Unit

1921.39508705238 Cubic Meter --> No Conversion Required

FINAL ANSWER

1921.39508705238 ≈ 1921.395 Cubic Meter <-- Volume of Elongated Pentagonal Pyramid

(Calculation completed in 00.004 seconds)

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< 4 Volume of Elongated Pentagonal Pyramid Calculators

Volume of Elongated Pentagonal Pyramid given Surface to Volume Ratio

Go Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid))^3

Volume of Elongated Pentagonal Pyramid given Total Surface Area

Go Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)))^3

Volume of Elongated Pentagonal Pyramid given Height

Go Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^3

Volume of Elongated Pentagonal Pyramid

Go Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*Edge Length of Elongated Pentagonal Pyramid^3

Volume of Elongated Pentagonal Pyramid given Height Formula

What is an Elongated Pentagonal Pyramid?

The Elongated Pentagonal Pyramid is a regular hexahedron with a matching pentagonal prism attached to one face, which is the Johnson solid generally denoted by J9. It consists of 11 faces which include 5 equilateral triangles as pyramid faces, 5 squares as side surfaces, and a regular pentagon as the base surface. Also, It has 20 edges and 11 vertices.

How to Calculate Volume of Elongated Pentagonal Pyramid given Height?

Volume of Elongated Pentagonal Pyramid given Height calculator uses Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^3 to calculate the Volume of Elongated Pentagonal Pyramid, The Volume of Elongated Pentagonal Pyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Pyramid and is calculated using the height of the Elongated Pentagonal Pyramid. Volume of Elongated Pentagonal Pyramid is denoted by V symbol.

How to calculate Volume of Elongated Pentagonal Pyramid given Height using this online calculator? To use this online calculator for Volume of Elongated Pentagonal Pyramid given Height, enter Height of Elongated Pentagonal Pyramid (h) and hit the calculate button. Here is how the Volume of Elongated Pentagonal Pyramid given Height calculation can be explained with given input values -> 1921.395 = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(15/(sqrt((5-sqrt(5))/10)+1))^3.

FAQ

What is Volume of Elongated Pentagonal Pyramid given Height?

The Volume of Elongated Pentagonal Pyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Pyramid and is calculated using the height of the Elongated Pentagonal Pyramid and is represented as V = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(h/(sqrt((5-sqrt(5))/10)+1))^3 or Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^3. Height of Elongated Pentagonal Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Pentagonal Pyramid.

How to calculate Volume of Elongated Pentagonal Pyramid given Height?

The Volume of Elongated Pentagonal Pyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Pyramid and is calculated using the height of the Elongated Pentagonal Pyramid is calculated using Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(Height of Elongated Pentagonal Pyramid/(sqrt((5-sqrt(5))/10)+1))^3. To calculate Volume of Elongated Pentagonal Pyramid given Height, you need Height of Elongated Pentagonal Pyramid (h). With our tool, you need to enter the respective value for Height of Elongated Pentagonal Pyramid 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 Pentagonal Pyramid?

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

Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*Edge Length of Elongated Pentagonal Pyramid^3
Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(sqrt(Total Surface Area of Elongated Pentagonal Pyramid/((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)))^3
Volume of Elongated Pentagonal Pyramid = ((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*(((sqrt(25+(10*sqrt(5))))/4+(5*sqrt(3))/4+5)/(((5+sqrt(5))/24+(sqrt(25+(10*sqrt(5))))/4)*SA:V of Elongated Pentagonal Pyramid))^3

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