1. What is the Height of Square Pyramid Formula?

The height of a square pyramid can be calculated using the lateral edge length and the base edge length through the Pythagorean theorem applied to the right triangle formed by the height, half the diagonal of the base, and the lateral edge.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h \) — Height of the square pyramid (m)
• \( l_e \) — Lateral edge length (m)
• \( b \) — Edge length of the base (m)

Explanation: The formula is derived from the Pythagorean theorem, where the lateral edge serves as the hypotenuse, the height as one leg, and half the diagonal of the base square as the other leg.

3. Importance of Height Calculation

Details: Calculating the height of a square pyramid is essential for determining its volume, surface area, and for various architectural and engineering applications involving pyramidal structures.

4. Using the Calculator

Tips: Enter the lateral edge length and base edge length in meters. Both values must be positive numbers. The calculator will compute the height using the mathematical formula.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator uses meters as the default unit, but any consistent unit can be used as long as both inputs are in the same unit.

Q2: Can this formula be used for any square pyramid?
A: Yes, this formula applies to all right square pyramids where the apex is directly above the center of the base.

Q3: What if I only have the slant height instead of lateral edge?
A: A different formula would be needed. This calculator specifically requires the lateral edge length.

Q4: How accurate is the calculation?
A: The calculation is mathematically exact based on the inputs provided, with results rounded to 6 decimal places.

Q5: Can this be used for truncated pyramids?
A: No, this formula is specifically for complete square pyramids. Different formulas apply to truncated pyramids (frustums).