Total Surface Area Of Obtuse Edged Cuboid Given Inner Width And Cut Width Calculator

Formula Used:

\[ TSA = 2 \times ((l_{Inner} \times w_{Inner}) + (w_{Inner} \times h_{Inner}) + (h_{Inner} \times l_{Inner}) + ((2 \times \frac{(w_{Cuboid} - w_{Inner})}{\sqrt{2}}) \times (l_{Inner} + w_{Inner} + h_{Inner})) + (3 \times (w_{Cut})^2)) \]

Inner Length of Obtuse Edged Cuboid:

Inner Width of Obtuse Edged Cuboid:

Inner Height of Obtuse Edged Cuboid:

Cuboidal Width of Obtuse Edged Cuboid:

Cut Width of Obtuse Edged Cuboid:

Total Surface Area of Obtuse Edged Cuboid:

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1. What is Total Surface Area of Obtuse Edged Cuboid?

Total Surface Area of Obtuse Edged Cuboid is the total quantity of two dimensional space enclosed on the entire surface of the Obtuse Edged Cuboid, which is formed by regularly cutting off edges from an original cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

\( l_{Inner} \) — Inner Length of Obtuse Edged Cuboid (m)
\( w_{Inner} \) — Inner Width of Obtuse Edged Cuboid (m)
\( h_{Inner} \) — Inner Height of Obtuse Edged Cuboid (m)
\( w_{Cuboid} \) — Cuboidal Width of Obtuse Edged Cuboid (m)
\( w_{Cut} \) — Cut Width of Obtuse Edged Cuboid (m)

Explanation: The formula accounts for all surfaces including the newly formed faces after cutting the edges.

3. Importance of TSA Calculation

Details: Calculating total surface area is crucial for material estimation, coating applications, and understanding the geometric properties of obtuse edged cuboids in various engineering and architectural contexts.

4. Using the Calculator

Tips: Enter all dimensions in meters. All values must be positive numbers. Ensure that Cuboidal Width is greater than Inner Width for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is an obtuse edged cuboid?
A: An obtuse edged cuboid is a geometric shape formed by regularly cutting off edges from an original cuboid, resulting in new faces with obtuse angles.

Q2: Why is the square root of 2 used in the formula?
A: The square root of 2 appears due to the 45-degree angle cuts made on the edges of the original cuboid, which creates right isosceles triangles.

Q3: What are the practical applications of this calculation?
A: This calculation is useful in manufacturing, packaging design, architecture, and any field dealing with modified cuboid shapes with cut edges.

Q4: Can this formula be used for acute edged cuboids?
A: No, this specific formula is designed for obtuse edged cuboids where edges are cut at 45-degree angles.

Q5: How accurate is this calculation for real-world applications?
A: The formula provides precise mathematical results. For practical applications, consider adding appropriate tolerances based on manufacturing processes.