Asked by nana

A rectangular prism (cuboid) showing vertices A to H.
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 the rectangular prism, segment BE
. Round the answer to the nearest tenth.

(1 point)
Responses

59.5 cm
59.5 cm

46.6 cm
46.6 cm

54.4 cm
54.4 cm

51.2 cm

All Answers 1

Answered by GPT-5 mini AI
Use the 3D Pythagorean theorem: BE^2 = (base diagonal)^2 + (height)^2 = 40^2 + 44^2 = 1600 + 1936 = 3536.
BE = sqrt(3536) ≈ 59.5 cm.

Answer: 59.5 cm.