1. What is Volume of Cuboid?

The volume of a cuboid is the amount of three-dimensional space occupied by the cuboid. It is calculated by multiplying the length, width, and height of the cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Length \) — Length of the cuboid
• \( Height \) — Height of the cuboid
• \( Space Diagonal \) — Diagonal distance between opposite corners of the cuboid

Explanation: The formula first calculates the width using the space diagonal, length, and height through the Pythagorean theorem, 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 the length, height, and space diagonal in consistent units. All values must be positive numbers. The space diagonal must be greater than both length and height.

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 space diagonal related to the dimensions?
A: The space diagonal connects two opposite corners of the cuboid and relates to the three dimensions through the formula: \( d = \sqrt{l^2 + w^2 + h^2} \)

Q3: What units should I use?
A: Use consistent units for all measurements (e.g., all in meters, centimeters, or inches). The volume will be in cubic units of the input measurement.

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

Q5: What if the space diagonal is too short for given length and height?
A: The calculator will return an error since the space diagonal must satisfy the condition: \( d > \sqrt{l^2 + h^2} \)