the length of the prism is 32 cm, the width is 24 cm, the height is 44 cm, and the length of the diagonal of the base, segment BH, is 40 cm. find the length of the diagonal of he rectangular prism, segment BE. round the answer to the nearest tenth.
responses:
51.2
59.5
46.6
54.4
To find the length of the diagonal segment BE, we first need to find the length of segment AE. Segment AE is the same as the height of the prism, which is 44 cm.
Now, we can find the length of segment BE using the Pythagorean theorem.
BE^2 = AE^2 + AB^2
BE^2 = 44^2 + 40^2
BE^2 = 1936 + 1600
BE^2 = 3536
BE = sqrt(3536)
BE ≈ 59.5 cm
Therefore, the length of the diagonal segment BE is approximately 59.5 cm.
So, the answer is 59.5.