Total Surface Area of Skewed Three Edged Prism Calculator

Formula Used:

\[ TSA = A_{Base(Even)} + A_{Top(Skewed)} + A_{Trapezoidal(Long)} + A_{Trapezoidal(Medium)} + A_{Trapezoidal(Short)} \]

Even Base Area of Skewed Three Edged Prism:

m²

Skewed Top Area of Skewed Three Edged Prism:

m²

LE Trapezoidal Area of Skewed Three Edged Prism:

m²

ME Trapezoidal Area of Skewed Three Edged Prism:

m²

SE Trapezoidal Area of Skewed Three Edged Prism:

m²

Total Surface Area of Skewed Three Edged Prism:

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1. What is the Total Surface Area of Skewed Three Edged Prism?

The Total Surface Area of Skewed Three Edged Prism is the total quantity of plane enclosed on the entire surface of the Skewed Three Edged Prism. It includes all faces: the even base, skewed top, and three trapezoidal lateral faces.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ TSA = A_{Base(Even)} + A_{Top(Skewed)} + A_{Trapezoidal(Long)} + A_{Trapezoidal(Medium)} + A_{Trapezoidal(Short)} \]

Where:

\( A_{Base(Even)} \) — Even Base Area of Skewed Three Edged Prism (m²)
\( A_{Top(Skewed)} \) — Skewed Top Area of Skewed Three Edged Prism (m²)
\( A_{Trapezoidal(Long)} \) — LE Trapezoidal Area of Skewed Three Edged Prism (m²)
\( A_{Trapezoidal(Medium)} \) — ME Trapezoidal Area of Skewed Three Edged Prism (m²)
\( A_{Trapezoidal(Short)} \) — SE Trapezoidal Area of Skewed Three Edged Prism (m²)

Explanation: The formula sums the areas of all five faces that make up the total surface area of the skewed three-edged prism.

3. Importance of Surface Area Calculation

Details: Calculating the total surface area is crucial for various engineering and architectural applications, including material estimation, structural analysis, and cost calculations for construction projects involving skewed three-edged prisms.

4. Using the Calculator

Tips: Enter all five area values in square meters. Ensure all values are non-negative and represent the correct corresponding areas of the prism's faces.

5. Frequently Asked Questions (FAQ)

Q1: What is a Skewed Three Edged Prism?
A: A Skewed Three Edged Prism is a polyhedron with two triangular bases (one even, one skewed) and three trapezoidal lateral faces connecting corresponding edges of the bases.

Q2: How is this different from a regular prism?
A: Unlike a regular prism where bases are parallel and aligned, a skewed prism has bases that are not parallel or are offset from each other, resulting in trapezoidal lateral faces instead of rectangular ones.

Q3: What units should I use for the input?
A: The calculator uses square meters (m²) as the unit for all area inputs. Convert other units to square meters before calculation.

Q4: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values with up to 4 decimal places for precise calculations.

Q5: What if I have negative area values?
A: Area values cannot be negative. The calculator will only accept non-negative values for all area inputs.