Total Surface Area 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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✖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 given Height [TSA]

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Total Surface Area of Pentagonal Bipyramid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Pentagonal Bipyramid = (5*sqrt(3))/2*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^2
TSA = (5*sqrt(3))/2*(h/(2*sqrt((5-sqrt(5))/10)))^2
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

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.
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

TSA = (5*sqrt(3))/2*(h/(2*sqrt((5-sqrt(5))/10)))^2 --> (5*sqrt(3))/2*(11/(2*sqrt((5-sqrt(5))/10)))^2

Evaluating ... ...

TSA = 473.913038584459

STEP 3: Convert Result to Output's Unit

473.913038584459 Square Meter --> No Conversion Required

FINAL ANSWER

473.913038584459 ≈ 473.913 Square Meter <-- Total Surface Area of Pentagonal Bipyramid

(Calculation completed in 00.021 seconds)

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< Surface Area of Pentagonal Bipyramid Calculators

Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio

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

Total Surface Area of Pentagonal Bipyramid given Height

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

Total Surface Area of Pentagonal Bipyramid given Volume

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

Total Surface Area of Pentagonal Bipyramid

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

Total Surface Area of Pentagonal Bipyramid given Height Formula

LaTeX Go

Total Surface Area of Pentagonal Bipyramid = (5*sqrt(3))/2*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^2
TSA = (5*sqrt(3))/2*(h/(2*sqrt((5-sqrt(5))/10)))^2

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 Total Surface Area of Pentagonal Bipyramid given Height?

Total Surface Area of Pentagonal Bipyramid given Height calculator uses Total Surface Area of Pentagonal Bipyramid = (5*sqrt(3))/2*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^2 to calculate the Total Surface Area of Pentagonal Bipyramid, The Total Surface Area of Pentagonal Bipyramid given Height formula is defined as the total amount of two-dimensional space occupied by all the faces of the Pentagonal Bipyramid and is calculated using the height of the Pentagonal Bipyramid. Total Surface Area of Pentagonal Bipyramid is denoted by TSA symbol.

How to calculate Total Surface Area of Pentagonal Bipyramid given Height using this online calculator? To use this online calculator for Total Surface Area of Pentagonal Bipyramid given Height, enter Height of Pentagonal Bipyramid (h) and hit the calculate button. Here is how the Total Surface Area of Pentagonal Bipyramid given Height calculation can be explained with given input values -> 473.913 = (5*sqrt(3))/2*(11/(2*sqrt((5-sqrt(5))/10)))^2.

FAQ

What is Total Surface Area of Pentagonal Bipyramid given Height?

The Total Surface Area of Pentagonal Bipyramid given Height formula is defined as the total amount of two-dimensional space occupied by all the faces of the Pentagonal Bipyramid and is calculated using the height of the Pentagonal Bipyramid and is represented as TSA = (5*sqrt(3))/2*(h/(2*sqrt((5-sqrt(5))/10)))^2 or Total Surface Area of Pentagonal Bipyramid = (5*sqrt(3))/2*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^2. Height of Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid.

How to calculate Total Surface Area of Pentagonal Bipyramid given Height?

The Total Surface Area of Pentagonal Bipyramid given Height formula is defined as the total amount of two-dimensional space occupied by all the faces of the Pentagonal Bipyramid and is calculated using the height of the Pentagonal Bipyramid is calculated using Total Surface Area of Pentagonal Bipyramid = (5*sqrt(3))/2*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^2. To calculate Total Surface Area 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 Total Surface Area of Pentagonal Bipyramid?

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

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

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