Question

Use the image to answer the question.

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

51.2 cm
51.2 cm

46.6 cm
46.6 cm

54.4 cm
54.4 cm

59.5 cm
59.5 cm
Skip to navigation

Answer 1

The space diagonal BE = sqrt((base diagonal BH)^2 + height^2) = sqrt(40^2 + 44^2) = sqrt(1600 + 1936) = sqrt(3536) ≈ 59.5 cm.