Total Surface Area Of Obtuse Edged Cuboid Calculator

Formula Used:

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

Inner Length of Obtuse Edged Cuboid:

Inner Width of Obtuse Edged Cuboid:

Inner Height of Obtuse Edged Cuboid:

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 area including all faces and edges.

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)
\( w_{Cut} \) — Cut Width of Obtuse Edged Cuboid (m)

Explanation: The formula accounts for the surface area contributions from the inner cuboid faces plus the additional surface area created by the cut edges.

3. Importance of Surface Area Calculation

Details: Accurate surface area calculation is crucial for material estimation, heat transfer calculations, coating applications, and various engineering and architectural designs involving obtuse edged cuboids.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure all values are positive numbers. The calculator provides precise surface area measurements for obtuse edged cuboid structures.

5. Frequently Asked Questions (FAQ)

Q1: What is an obtuse edged cuboid?
A: An obtuse edged cuboid is a three-dimensional shape formed by regularly cutting off edges from a original cuboid, creating beveled edges.

Q2: How does cut width affect the surface area?
A: Larger cut widths increase the total surface area as they create additional surface area on the beveled edges.

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 calculation.

Q4: What are practical applications of this calculation?
A: This calculation is used in manufacturing, packaging design, architectural modeling, and any application involving cuboid structures with beveled edges.

Q5: How accurate is the formula?
A: The formula provides exact mathematical calculation for the total surface area of a perfect obtuse edged cuboid with regular edge cuts.