Total Surface Area Of Elongated Square Pyramid Calculator

Formula Used:

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

Total Surface Area (TSA):

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1. What is Total Surface Area of Elongated Square Pyramid?

The Total Surface Area of an Elongated Square Pyramid refers to the total amount of two-dimensional space occupied by all the faces of this geometric solid, which consists of a square pyramid attached to a square prism.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( TSA \) — Total Surface Area (m²)
\( le \) — Edge Length of the pyramid (m)
\( \sqrt{3} \) — Square root of 3 (approximately 1.732)

3. Formula Explanation

Details: The formula calculates the total surface area by summing the areas of all faces: the square base, four triangular faces of the pyramid, and the four rectangular faces of the prism attachment.

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 units should I use for edge length?
A: The calculator uses meters, but you can use any unit as long as you're consistent. The result will be in square units of whatever unit you used.

Q2: Why does the formula include √3?
A: The √3 term comes from the geometry of the triangular faces and their relationship to the edge length in an elongated square pyramid.

Q3: Can this calculator handle very large or very small values?
A: Yes, the calculator can handle a wide range of values as long as they are positive numbers.

Q4: How accurate is the calculation?
A: The calculation uses precise mathematical operations and provides results with 6 decimal places for accuracy.

Q5: What if I get an error message?
A: Make sure you've entered a positive numerical value for the edge length and that the value is within reasonable limits.