Volume Per Unit Length of Prism Calculator

Volume per unit length of prism Formula:

\[ V_l = z \times b \times \cos(I) \]

Volume per unit length (m²):

1. What is Volume Per Unit Length of Prism?

Definition: This calculator computes the cross-sectional area (volume per unit length) of a prism based on its depth, inclined length, and angle of inclination.

Purpose: It helps in engineering and geological calculations where prismatic volumes need to be determined.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_l = z \times b \times \cos(I) \]

Where:

\( V_l \) — Volume per unit length (m²)
\( z \) — Depth of prism (m)
\( b \) — Inclined length (m)
\( I \) — Angle of inclination (radians)

Explanation: The formula calculates the effective cross-sectional area by accounting for the angle of inclination through the cosine function.

3. Importance of Volume Calculation

Details: Accurate volume calculations are essential for material estimation, structural analysis, and geological assessments.

4. Using the Calculator

Tips: Enter the depth in meters, inclined length in meters, and angle in radians. All values must be positive. The ±5% indicates typical measurement tolerances.

5. Frequently Asked Questions (FAQ)

Q1: Why use cosine in the formula?
A: The cosine function accounts for the angle of inclination, converting the inclined length to its horizontal component.

Q2: What units should I use for the angle?
A: The angle must be in radians. To convert from degrees to radians, multiply by π/180.

Q3: What does the ±5% mean?
A: This indicates the typical measurement tolerance or uncertainty in the input values.

Q4: Can I use this for non-prismatic shapes?
A: No, this formula is specifically for prismatic shapes with uniform cross-section.

Q5: How precise is the result?
A: The result is displayed with 6 decimal places, but actual precision depends on input accuracy.