Total Surface Area Of Hollow Cuboid Given Inner And Outer Length Calculator

Formula Used:

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

Height of Hollow Cuboid:

Outer Breadth of Hollow Cuboid:

Outer Length of Hollow Cuboid:

Inner Length of Hollow Cuboid:

Total Surface Area of Hollow Cuboid:

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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 outer and inner surfaces.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The formula accounts for all six faces of the hollow cuboid, considering both outer and inner dimensions.

3. Importance of Surface Area Calculation

Details: Accurate surface area calculation is crucial for material estimation, heat transfer calculations, structural design, and cost estimation in construction and manufacturing.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure all values are positive and that Outer Length is greater than Inner Length. 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 six rectangular faces where the inner part is hollow, creating a thickness between outer and inner surfaces.

Q2: Why is the formula so complex?
A: The complexity arises from accounting for both outer and inner surfaces, their interactions, and the hollow space between them.

Q3: What are typical applications of hollow cuboids?
A: Used in construction (hollow blocks), packaging, storage containers, and structural elements where weight reduction is important.

Q4: How does wall thickness affect surface area?
A: The difference between outer and inner dimensions determines wall thickness, which directly impacts the total surface area calculation.

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