To find the length of the diagonal of the rectangular prism (segment BE), we can use the formula for the diagonal \(d\) of a rectangular prism, which is given by:
\[ d = \sqrt{l^2 + w^2 + h^2} \]
where \(l\), \(w\), and \(h\) are the length, width, and height of the prism, respectively.
Given:
- Length \(l = 32\) cm
- Width \(w = 24\) cm
- Height \(h = 44\) cm
Now we can plug in the values:
\[ d = \sqrt{32^2 + 24^2 + 44^2} \]
Calculating each term: \[ 32^2 = 1024 \] \[ 24^2 = 576 \] \[ 44^2 = 1936 \]
Now summing these values: \[ 1024 + 576 + 1936 = 3536 \]
Now, take the square root: \[ d = \sqrt{3536} \approx 59.5 \text{ cm} \]
Thus, the length of the diagonal of the rectangular prism, segment BE, rounded to the nearest tenth, is:
\[ \boxed{59.5} \text{ cm} \]