Identify the exact problem statement and given values
Determine whether the triangle and cube are separate shapes or part of one composite figure
List all known measurements, angles, and relationships
Draw a clear diagram if one is not provided
Apply triangle formulas as needed
Apply cube formulas as needed
Use Pythagorean theorem for right triangles
Use trigonometric ratios for non-right triangles
Use cube edge, face diagonal, or space diagonal formulas when relevant
Set up equations from the given conditions
Solve the equations for the unknown quantity
Check the result for consistency with the diagram and given values
Verify units and final answer format