Total Surface Area of Hollow Cuboid given Outer Length and Inner Breadth Calculator

Total Surface Area of Hollow Cuboid Formula:

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

Height of Hollow Cuboid (h):

Inner Breadth of Hollow Cuboid (b_Inner):

Thickness of Hollow Cuboid (t):

Outer Length of Hollow Cuboid (l_Outer):

Total Surface Area of Hollow Cuboid (TSA):

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1. What is Total Surface Area of Hollow Cuboid?

The Total Surface Area of a Hollow Cuboid is defined as the total quantity of two dimensional space enclosed on the entire surface of the Hollow Cuboid. It includes both the inner and outer surfaces of the cuboid structure.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the total surface area by considering all six faces of the hollow cuboid, accounting for both inner and outer dimensions and the thickness of the material.

3. Importance of TSA Calculation

Details: Calculating the total surface area is crucial for determining material requirements, cost estimation, and structural analysis in construction and manufacturing applications involving hollow cuboidal structures.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure all values are positive numbers. The calculator will compute the total surface area in square meters.

5. Frequently Asked Questions (FAQ)

Q1: What is a hollow cuboid?
A: A hollow cuboid is a three-dimensional geometric shape with six rectangular faces, where the interior is empty or hollow, creating a uniform thickness throughout the structure.

Q2: How is this different from a solid cuboid?
A: Unlike a solid cuboid, a hollow cuboid has empty space inside, and the surface area calculation must account for both inner and outer surfaces.

Q3: What are practical applications of hollow cuboids?
A: Hollow cuboids are commonly used in construction (beams, columns), packaging (boxes), furniture, and various engineering structures where weight reduction is important.

Q4: Why is thickness important in the calculation?
A: Thickness determines the difference between inner and outer dimensions and directly affects the total surface area calculation.

Q5: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert all measurements to meters before inputting them into the calculator.