Total Surface Area Of Obtuse Edged Cuboid Given Cuboidal Edges Calculator

Total Surface Area of Obtuse Edged Cuboid Formula:

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

Cuboidal Length of Obtuse Edged Cuboid:

Cuboidal Width of Obtuse Edged Cuboid:

Cuboidal Height 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?

The 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. It represents the complete outer surface measurement of this three-dimensional geometric shape.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

\( l_{Cuboid} \) — Cuboidal Length of Obtuse Edged Cuboid (m)
\( w_{Cuboid} \) — Cuboidal Width of Obtuse Edged Cuboid (m)
\( h_{Cuboid} \) — Cuboidal Height of Obtuse Edged Cuboid (m)
\( w_{Cut} \) — Cut Width of Obtuse Edged Cuboid (m)
\( \sqrt{2} \) — Mathematical constant approximately equal to 1.4142

Explanation: The formula accounts for the reduction in dimensions due to the cutting process and calculates the total surface area of the resulting obtuse edged cuboid.

3. Importance of TSA Calculation

Details: Calculating the total surface area is crucial for various applications including material estimation, cost calculation, structural analysis, and understanding the geometric properties of obtuse edged cuboids in engineering and architectural designs.

4. Using the Calculator

Tips: Enter all dimensions in meters. All values must be positive numbers. The cut width should be less than the corresponding cuboidal dimensions to ensure valid geometric construction.

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 the edges of a standard cuboid, resulting in edges that are not sharp but have a specific cut width.

Q2: Why is the √2 factor used in the formula?
A: The √2 factor accounts for the 45-degree angle cuts made to the original cuboid's edges, which is a common geometric relationship in such constructions.

Q3: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert all measurements to meters before input, or adjust the result accordingly.

Q4: What are practical applications of this calculation?
A: This calculation is useful in manufacturing, architecture, packaging design, and any field where objects with rounded or cut edges need surface area measurements for material estimation.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. The accuracy of the result depends on the precision of the input measurements.