Volume Of Skewed Three Edged Prism Calculator

Formula Used:

\[ V = \frac{A_{Base(Even)} \times (h_{Long} + h_{Medium} + h_{Short})}{3} \]

Even Base Area of Skewed Three Edged Prism:

m²

Long Height of Skewed Three Edged Prism:

Medium Height of Skewed Three Edged Prism:

Short Height of Skewed Three Edged Prism:

Volume of Skewed Three Edged Prism:

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1. What is Volume of Skewed Three Edged Prism?

Volume of Skewed Three Edged Prism is the total quantity of three-dimensional space enclosed by the surface of the Skewed Three Edged Prism. It represents the capacity of this geometric shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \frac{A_{Base(Even)} \times (h_{Long} + h_{Medium} + h_{Short})}{3} \]

Where:

\( V \) — Volume of Skewed Three Edged Prism (m³)
\( A_{Base(Even)} \) — Even Base Area of Skewed Three Edged Prism (m²)
\( h_{Long} \) — Long Height of Skewed Three Edged Prism (m)
\( h_{Medium} \) — Medium Height of Skewed Three Edged Prism (m)
\( h_{Short} \) — Short Height of Skewed Three Edged Prism (m)

Explanation: The formula calculates the volume by taking the average of the three different heights multiplied by the base area, divided by 3.

3. Importance of Volume Calculation

Details: Calculating the volume of a skewed three-edged prism is important in various engineering, architectural, and geometric applications where this specific shape is encountered.

4. Using the Calculator

Tips: Enter the base area in square meters and all three height measurements in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a skewed three-edged prism?
A: A skewed three-edged prism is a polyhedron with two parallel triangular bases and three rectangular lateral faces that are not perpendicular to the bases.

Q2: Why are there three different height measurements?
A: Because the prism is skewed, each of the three edges has a different vertical height measurement from the base to the top face.

Q3: Can this formula be used for regular prisms?
A: For a regular (right) prism where all heights are equal, the formula simplifies to the standard volume formula: base area × height.

Q4: What units should I use for the measurements?
A: The calculator uses meters for length measurements and square meters for area, but the formula works with any consistent unit system.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for the given formula, assuming precise input measurements.