Home Back

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

Formula Used:

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

m
m
m
m
m

Unit Converter ▲

Unit Converter ▼

From: To:

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, which is formed by regularly cutting edges from the original cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula accounts for the surface areas of the inner cuboid faces, the additional areas from the cut edges, and the areas of the newly formed triangular faces.

3. Importance of Surface Area Calculation

Details: Calculating the total surface area is crucial for various applications including material estimation, heat transfer calculations, and structural analysis of obtuse edged cuboidal objects.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure all values are positive and valid. The cuboidal length should be greater than the inner length to maintain geometric validity.

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 new triangular faces at each cut.

Q2: Why is the sqrt(2) factor used in the formula?
A: The sqrt(2) factor accounts for the 45-degree angle cuts made on the edges of the original cuboid to form the obtuse edges.

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

Q4: Are there limitations to this formula?
A: This formula assumes regular 45-degree cuts on all edges. It may not be accurate for irregular cuts or non-uniform edge modifications.

Q5: How does cut width affect the total surface area?
A: Larger cut widths increase the surface area due to the additional triangular faces created, while smaller cut widths result in surface area closer to that of the original cuboid.

Total Surface Area Of Obtuse Edged Cuboid Given Inner Length And Cut Width Calculator© - All Rights Reserved 2025