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Rectangular Pyramid Height Calculator

Rectangular Pyramid Height Formula:

\[ h = \frac{3V}{l \times w} \]

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1. What is Rectangular Pyramid Height?

The height of a rectangular pyramid is the perpendicular distance from the base to the apex. It's an important measurement in geometry and architecture for determining the pyramid's proportions and volume.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h = \frac{3V}{l \times w} \]

Where:

Explanation: The formula derives from the volume formula for a pyramid (V = 1/3 × base area × height), rearranged to solve for height.

3. Importance of Height Calculation

Details: Calculating the height is essential in architectural design, construction, and geometry problems where the volume and base dimensions are known but the height needs to be determined.

4. Using the Calculator

Tips: Enter the pyramid's volume in cubic meters, length and width of the base in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between height and slant height?
A: Height is the perpendicular distance from base to apex, while slant height is the distance along a lateral face from base to apex.

Q2: Can this calculator be used for square pyramids?
A: Yes, for square pyramids just enter the same value for length and width.

Q3: What units should I use?
A: The calculator uses meters, but any consistent unit system will work as long as all measurements use the same units.

Q4: What if my pyramid is oblique?
A: This formula only works for right pyramids where the apex is directly above the center of the base.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for perfect rectangular pyramids with the given measurements.

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