Final answer:
The question seems to mistakenly ask for the diagonal of a square given the dimensions of a rectangular prism. Using the Pythagorean theorem in three dimensions, the diagonal of the rectangular prism with the given dimensions is 17 inches.
Step-by-step explanation:
The question asks us to find the diagonal of a square, but the dimensions provided correspond to a rectangular prism. Assuming the question intended to ask for the diagonal of the rectangular prism, we can proceed using the Pythagorean theorem in three dimensions. The diagonal d in a rectangular prism with length l, width w, and height h is calculated using the formula d = √(l^2 + w^2 + h^2).
The student provided the following measures:
- Length (l): 12 inches
- Width (w): 8 inches
- Height (h): 9 inches
Using these measures, we calculate:
d = √(12^2 + 8^2 + 9^2)
d = √(144 + 64 + 81)
d = √(289)
The diagonal of the rectangular prism is:
17 inches