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 cuboid
• \( l \) — Length of cuboid
• \( h \) — Height of cuboid
• \( LSA \) — Lateral Surface Area of cuboid

Explanation: This formula calculates the volume of a cuboid when given its lateral surface area, length, and height by first determining the width from the lateral surface area.

3. Importance of Volume Calculation

Details: Calculating volume is essential in various fields including architecture, engineering, manufacturing, and logistics for determining capacity, material requirements, and spatial planning.

4. Using the Calculator

Tips: Enter the length and height in consistent units, and the lateral surface area in square units. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is lateral surface area of a cuboid?
A: Lateral surface area is the total area of all the side faces of the cuboid, excluding the top and bottom faces.

Q2: How is lateral surface area different from total surface area?
A: Lateral surface area excludes the top and bottom faces, while total surface area includes all six faces of the cuboid.

Q3: Can this formula be used for any rectangular prism?
A: Yes, since a cuboid is a rectangular prism, this formula applies to all rectangular prisms.

Q4: What if I have different units for different measurements?
A: All measurements must be in the same unit system for accurate results. Convert all values to consistent units before calculation.

Q5: What are some practical applications of cuboid volume calculation?
A: Calculating storage capacity of containers, determining concrete volume for construction, packaging design, and space planning in architecture.