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

Formula Used:

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

Height of Hollow Cuboid (h):

Outer Breadth of Hollow Cuboid (b_Outer):

Inner Length of Hollow Cuboid (l_Inner):

Thickness of Hollow Cuboid (t):

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, including both inner and outer surfaces.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the total surface area by considering both inner and outer surfaces and subtracting the overlapping areas.

3. Importance of TSA Calculation

Details: Calculating the total surface area is crucial for determining material requirements, cost estimation, and structural analysis in engineering and construction applications.

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 shape with a cuboidal outer surface and a smaller cuboidal cavity inside, creating a hollow space.

Q2: Why subtract terms in the formula?
A: The subtraction terms account for the overlapping areas and the hollow portion that should not be counted in the total surface area calculation.

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.

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

Q5: How accurate is the calculation?
A: The calculation provides precise results based on the input values. The accuracy depends on the precision of the measurements provided.