1. What is Height of Oblique Prism?

The Height of Oblique Prism is the vertical distance from the bottom face to the top of the Oblique Prism. Unlike a right prism, an oblique prism has lateral edges that are not perpendicular to the bases.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h \) — Height of Oblique Prism (m)
• \( l_e \) — Lateral Edge Length of Oblique Prism (m)
• \( \theta \) — Angle of Slope of Oblique Prism (°)

Explanation: The height is calculated as the product of the lateral edge length and the sine of the slope angle, representing the vertical component of the lateral edge.

3. Importance of Height Calculation

Details: Calculating the height of an oblique prism is essential for determining its volume, surface area, and understanding its spatial properties in geometric applications.

4. Using the Calculator

Tips: Enter the lateral edge length in meters and the slope angle in degrees. Both values must be positive numbers (edge length > 0, angle between 0-90°).

5. Frequently Asked Questions (FAQ)

Q1: What is an oblique prism?
A: An oblique prism is a prism where the lateral edges are not perpendicular to the bases, creating a slanted appearance.

Q2: How does this differ from a right prism?
A: In a right prism, lateral edges are perpendicular to the bases and equal to the height, while in an oblique prism, lateral edges are longer than the height.

Q3: Can the angle be greater than 90 degrees?
A: No, for an oblique prism, the slope angle is typically between 0 and 90 degrees. Angles approaching 0° indicate a very flat prism, while angles approaching 90° approach a right prism.

Q4: What units should I use?
A: The calculator uses meters for length measurements and degrees for angles. Ensure consistent units for accurate results.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the trigonometric relationship between the lateral edge, height, and slope angle.