Final answer:
The diagonal (d) of the rectangular solid with dimensions l=8, w=4, h=2 is found using the Pythagorean theorem in three dimensions. Plugging in the values, d is approximately 9.17 units.
Step-by-step explanation:
To find the diagonal (d) of a rectangular solid with length (l), width (w), and height (h), you can use the Pythagorean theorem in three dimensions. The formula for the diagonal of a rectangular solid is given by:
d = √(l² + w² + h²)
Given that l = 8, w = 4, and h = 2, we can substitute these values into the formula to find d:
d = √(8² + 4² + 2²) = √(64 + 16 + 4) = √84 ≈ 9.17
So the diagonal of the rectangular solid is approximately 9.17 units.