1. What is Volume of Cuboid?

The volume of a cuboid is the amount of three-dimensional space enclosed within its six rectangular faces. It is calculated as the product of its length, width, and height.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Volume of the cuboid (m³)
• \( TSA \) — Total surface area of the cuboid (m²)
• \( l \) — Length of the cuboid (m)
• \( h \) — Height of the cuboid (m)

Explanation: This formula derives the volume of a cuboid when the total surface area, length, and height are known, by solving for the width dimension.

3. Importance of Volume Calculation

Details: Calculating volume is essential in various fields including architecture, engineering, packaging, and logistics for determining capacity, storage requirements, and material quantities.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is a cuboid?
A: A cuboid is a three-dimensional shape with six rectangular faces, where all angles are right angles and opposite faces are equal.

Q2: How is this formula derived?
A: The formula is derived from the total surface area formula TSA = 2(lw + lh + wh) and solving for width w in terms of known variables.

Q3: What are the units of measurement?
A: The calculator uses meters for all dimensions, but the formula works with any consistent unit system (cm, inches, etc.).

Q4: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values for more precise calculations.

Q5: What if I get a negative result?
A: A negative result indicates invalid input values that don't form a valid cuboid. Please verify your measurements.