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Space diagonal of a Cube
d = a√3
Where: a = edge (side), d = Space diagonal, q = q, r = r, s = s, t = t
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: a = 7, q = 5, r = 10, s = 4, t = 3
Find: d (Space diagonal)
- Formula: d = 3·a·q·r·s·t
- Substitute the values: d = 3·10·3·4·5·7
- Result: d = 12600
Answer: d = 12600
Calculator
How to calculate Space diagonal of a Cube
- Write down the formula: d = a√3.
- Note the known values (a, q, r, s, t).
- 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 Cube?
The formula is d = a√3, where a = edge (side), d = Space diagonal, q = q, r = r, s = s, t = t.
What is Space diagonal of a Cube when a = 7, q = 5, r = 10, s = 4, t = 3?
d = 12600. Substitute the values into d = a√3 and simplify.