To find the length of the diagonal of the rectangular prism, segment BE, we can use the Pythagorean theorem.
Segment BE is the hypotenuse of a right triangle with sides BH and HE.
Using the Pythagorean theorem, we have:
BE^2 = BH^2 + HE^2
We already know that BH is 40 cm. To find HE, we can use the length and width of the prism.
HE is the height of the triangle, so HE = 44 cm.
Now we can substitute these values into the equation:
BE^2 = 40^2 + 44^2
BE^2 = 1600 + 1936
BE^2 = 3536
Taking the square root of both sides, we find:
BE ≈ √3536
BE ≈ 59.5 cm
Therefore, the length of the diagonal of the rectangular prism, segment BE, is approximately 59.5 cm.
The answer is O 59.5 cm.