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.
To find the length of diagonal segment BE, we can use the Pythagorean theorem.
First, let's find the length of segment BC using the Pythagorean theorem:
BC = sqrt(32^2 + 24^2)
BC = sqrt(1024 + 576)
BC = sqrt(1600)
BC = 40 cm
Next, we can find the length of segment BE using the Pythagorean theorem:
BE = sqrt(40^2 + 44^2)
BE = sqrt(1600 + 1936)
BE = sqrt(3536)
BE = 59.4 cm
Therefore, the length of diagonal segment BE is approximately 59.4 cm.