Total Surface Area of Hollow Cuboid Calculator

Formula Used:

\[ TSA = 4 \times ((h \times b_{Outer}) + (h \times l_{Outer}) + (b_{Outer} \times t) + (l_{Outer} \times t) - (2 \times t \times h) - (2 \times t^2)) \]

Height of Hollow Cuboid:

Outer Breadth of Hollow Cuboid:

Outer Length of Hollow Cuboid:

Thickness of Hollow Cuboid:

Total Surface Area of Hollow Cuboid:

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1. What is the Total Surface Area of Hollow Cuboid?

The Total Surface Area of a Hollow Cuboid refers to the total area of all the surfaces of the hollow cuboid, including both the outer and inner surfaces. It represents the complete two-dimensional space that covers the entire exterior of the hollow cuboidal structure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ TSA = 4 \times ((h \times b_{Outer}) + (h \times l_{Outer}) + (b_{Outer} \times t) + (l_{Outer} \times t) - (2 \times t \times h) - (2 \times t^2)) \]

Where:

\( h \) — Height of Hollow Cuboid (m)
\( b_{Outer} \) — Outer Breadth of Hollow Cuboid (m)
\( l_{Outer} \) — Outer Length of Hollow Cuboid (m)
\( t \) — Thickness of Hollow Cuboid (m)

Explanation: This formula calculates the total surface area by considering the contributions from all faces of the hollow cuboid while accounting for the thickness and subtracting the overlapping areas.

3. Importance of Surface Area Calculation

Details: Calculating the total surface area of hollow cuboids is crucial in various engineering and construction applications, including material estimation, heat transfer calculations, and structural design optimization.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure all values are positive and thickness is less than both outer breadth and outer length for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is a hollow cuboid?
A: A hollow cuboid is a three-dimensional shape with a cuboidal outer surface and a smaller cuboidal cavity inside, creating a hollow space with uniform thickness.

Q2: How does thickness affect the surface area?
A: Thickness directly influences the surface area calculation as it determines the dimensions of the inner cavity and affects the overall surface area distribution.

Q3: Can this formula be used for irregular shapes?
A: No, this formula is specifically designed for regular hollow cuboids with uniform thickness and parallel faces.

Q4: What are practical applications of this calculation?
A: This calculation is used in construction, packaging design, heat exchanger design, and any application involving hollow rectangular structures.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for ideal hollow cuboids with perfect geometry and uniform thickness.