Volume of Hollow Cuboid given Total Surface Area Calculator

Formula Used:

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

Height of Hollow Cuboid (h):

Outer Breadth of Hollow Cuboid (b_Outer):

Outer Length of Hollow Cuboid (l_Outer):

Thickness of Hollow Cuboid (t):

Total Surface Area of Hollow Cuboid (TSA):

m²

Volume of Hollow Cuboid (V):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Volume of Hollow Cuboid?

The Volume of Hollow Cuboid is defined as the amount of three dimensional space occupied by Hollow Cuboid. It represents the capacity or the space enclosed within the hollow cuboidal structure.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( V \) — Volume of Hollow Cuboid (m³)
\( h \) — 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)
\( TSA \) — Total Surface Area of Hollow Cuboid (m²)

Explanation: This formula calculates the volume by considering the outer dimensions, thickness, and total surface area of the hollow cuboid.

3. Importance of Volume Calculation

Details: Accurate volume calculation is crucial for determining the capacity of hollow structures, material requirements, and structural analysis in engineering and construction applications.

4. Using the Calculator

Tips: Enter all dimensions in meters and total surface area in square meters. All values must be positive numbers greater than zero.

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 hollow interior, similar to a box with walls of uniform thickness.

Q2: Why is thickness important in volume calculation?
A: Thickness determines the difference between outer and inner dimensions, which is essential for accurately calculating the volume of the hollow space.

Q3: Can this calculator handle different units?
A: The calculator uses meters for all dimensions. Convert other units to meters before inputting values for accurate results.

Q4: What if the thickness is zero?
A: If thickness is zero, it becomes a solid cuboid, and the formula would need to be adjusted accordingly.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. Ensure accurate measurements for reliable results.