1. What is Volume Of Cuboid?

The volume of a cuboid represents the three-dimensional space occupied by the cuboid. It is calculated as the product of its length, width, and height. When given total surface area, width, and height, we can derive the length first and then calculate the volume.

2. How Does the Calculator Work?

The calculator uses the derived formula:

Where:

• \( V \) — Volume of cuboid (unit³)
• \( TSA \) — Total surface area (unit²)
• \( w \) — Width of cuboid (unit)
• \( h \) — Height of cuboid (unit)

Explanation: The formula first calculates the length from the given surface area, width, and height, then multiplies all three dimensions to get the volume.

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 units, width and height in linear units. 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 opposite faces are equal and parallel.

Q2: How is total surface area related to volume?
A: Total surface area is the sum of areas of all six faces, while volume measures the space enclosed within the cuboid.

Q3: Can this formula be used for cubes?
A: Yes, a cube is a special type of cuboid where all dimensions are equal, so the formula applies to cubes as well.

Q4: What units should I use?
A: Use consistent units throughout - surface area in square units, and dimensions in the same linear units.

Q5: What if the calculated length becomes negative?
A: This indicates invalid input values where the given surface area is insufficient for the provided width and height dimensions.