1. What is the Width of Cuboid given Total Surface Area Formula?

The formula calculates the width of a cuboid when the total surface area, length, and height are known. It's derived from the standard total surface area formula of a cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( w \) — Width of the cuboid
• \( TSA \) — Total surface area of the cuboid
• \( l \) — Length of the cuboid
• \( h \) — Height of the cuboid

Explanation: The formula rearranges the standard total surface area equation TSA = 2(lw + lh + wh) to solve for width.

3. Importance of Width Calculation

Details: Calculating the width of a cuboid is essential in geometry, architecture, engineering, and various design applications where dimensional accuracy is required.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative result?
A: A negative result indicates that the input values are inconsistent with a valid cuboid. Please verify your measurements.

Q2: Can this formula be used for any rectangular prism?
A: Yes, since a cuboid is a type of rectangular prism, this formula applies to all rectangular prisms.

Q3: What units should I use?
A: Use consistent units for all measurements (e.g., all in meters, centimeters, or inches).

Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. Accuracy depends on the precision of your measurements.

Q5: Can I calculate other dimensions using similar formulas?
A: Yes, similar formulas can be derived to calculate length or height when other dimensions are known.