To find the length of the diagonal of the rectangular prism, we can use the formula for the diagonal \( d \) of a rectangular prism given by its length \( l \), width \( w \), and height \( h \):
\[ d = \sqrt{l^2 + w^2 + h^2} \]
Given:
- Length \( l = 32 \) cm
- Width \( w = 24 \) cm
- Height \( h = 44 \) cm
Now, we can plug the values into the formula:
\[ d = \sqrt{(32)^2 + (24)^2 + (44)^2} \]
Calculating each term inside the square root:
\[ (32)^2 = 1024 \] \[ (24)^2 = 576 \] \[ (44)^2 = 1936 \]
Now, sum these squares:
\[ d = \sqrt{1024 + 576 + 1936} = \sqrt{3536} \]
Now, we calculate \( \sqrt{3536} \):
\[ \sqrt{3536} \approx 59.5 \]
So, the length of the diagonal of the rectangular prism, rounded to the nearest tenth, is:
\[ \boxed{59.5} \text{ cm} \]