हिन्दी में पढ़ेंHome › Formulas › Cuboid (Rectangular box) › Space diagonal
Space diagonal of a Cuboid (Rectangular box)
d = √(l² + b² + h²)
Where: b = breadth, d = Space diagonal, h = height, l = length
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: b = 7, h = 5, l = 10
Find: d (Space diagonal)
- Formula: d = √(b² + h² + l²)
- Substitute the values: d = √(10² + 5² + 7²)
- Result: d = 13.190906
Answer: d = 13.190906
Calculator
How to calculate Space diagonal of a Cuboid (Rectangular box)
- Write down the formula: d = √(l² + b² + h²).
- Note the known values (b, h, l).
- Substitute them and simplify to find d.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Space diagonal of a Cuboid (Rectangular box)?
The formula is d = √(l² + b² + h²), where b = breadth, d = Space diagonal, h = height, l = length.
What is Space diagonal of a Cuboid (Rectangular box) when b = 7, h = 5, l = 10?
d = 13.190906. Substitute the values into d = √(l² + b² + h²) and simplify.