Home Back

Total Surface Area of Elongated Pentagonal Bipyramid Calculator

Formula Used:

\[ TSA = \left(\frac{5\sqrt{3}}{2} + 5\right) \times le^2 \]

m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Total Surface Area of Elongated Pentagonal Bipyramid?

The Total Surface Area (TSA) of an Elongated Pentagonal Bipyramid is the total area of all its faces. It is calculated using the formula that incorporates the edge length of the bipyramid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ TSA = \left(\frac{5\sqrt{3}}{2} + 5\right) \times le^2 \]

Where:

Explanation: The formula combines the geometric properties of the pentagonal bipyramid, including the area contributed by the triangular and pentagonal faces.

3. Importance of TSA Calculation

Details: Calculating the total surface area is essential for various applications, including material estimation, structural analysis, and understanding the geometric properties of the shape.

4. Using the Calculator

Tips: Enter the edge length in meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is an Elongated Pentagonal Bipyramid?
A: It is a polyhedron formed by elongating a pentagonal bipyramid by inserting a pentagonal prism between its two halves.

Q2: Why is the formula structured as it is?
A: The formula accounts for the combined surface area of the triangular faces (from the bipyramid parts) and the rectangular faces (from the prism part).

Q3: Can this calculator be used for other units?
A: The calculator uses meters as the default unit. If using other units, ensure consistency and convert the result accordingly.

Q4: What if the edge length is zero or negative?
A: The edge length must be a positive number. The calculator will not compute for zero or negative values.

Q5: How accurate is the calculation?
A: The calculation is mathematically exact based on the provided formula, assuming precise input values.

Total Surface Area of Elongated Pentagonal Bipyramid Calculator© - All Rights Reserved 2025