1. What is Space Diagonal of Cuboid?

The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid. It represents the longest straight line that can be drawn within the cuboid.

2. How Does the Calculator Work?

The calculator uses the Space Diagonal formula:

Where:

• \( d_{Space} \) — Space Diagonal of Cuboid (m)
• \( l \) — Length of Cuboid (m)
• \( w \) — Width of Cuboid (m)
• \( h \) — Height of Cuboid (m)

Explanation: This formula is derived from the Pythagorean theorem applied in three dimensions, calculating the diagonal through the 3D space of the cuboid.

3. Importance of Space Diagonal Calculation

Details: Calculating the space diagonal is important in geometry, architecture, engineering, and packaging design to determine the maximum length object that can fit inside a box or container.

4. Using the Calculator

Tips: Enter length, width, and height of the cuboid in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between space diagonal and face diagonal?
A: Space diagonal goes through the 3D interior of the cuboid, while face diagonal lies on one of the 2D faces of the cuboid.

Q2: Can this formula be used for any rectangular prism?
A: Yes, the space diagonal formula applies to all rectangular prisms, including cubes (where all sides are equal).

Q3: What are the units of measurement for space diagonal?
A: The space diagonal will have the same units as the input dimensions (meters, centimeters, inches, etc.).

Q4: How accurate is this calculation?
A: The calculation is mathematically exact, assuming precise input measurements and using the exact formula.

Q5: Can I calculate space diagonal if I know the face diagonals?
A: Yes, but you would need additional information as face diagonals alone don't uniquely determine the space diagonal.