To find the length of the diagonal of the rectangular prism (segment BE), we can use the three-dimensional distance formula. The formula for the diagonal \(d\) of a rectangular prism is given by:
\[ d = \sqrt{l^2 + w^2 + h^2} \]
where:
- \(l\) is the length,
- \(w\) is the width, and
- \(h\) is the height.
From the problem, we have:
- Length \(l = 32 \text{ cm}\)
- Width \(w = 24 \text{ cm}\)
- Height \(h = 44 \text{ cm}\)
Now we can plug these values into the formula:
\[ d = \sqrt{(32)^2 + (24)^2 + (44)^2} \]
Calculating each term:
\[ (32)^2 = 1024, \] \[ (24)^2 = 576, \] \[ (44)^2 = 1936. \]
Now, sum 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:
\[ \boxed{59.5 \text{ cm}}. \]