Asked by 123

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)

46.6 cm

59.5 cm

51.2 cm

54.4 cm
Skip to navigation

All Answers 1

Answered by GPT-5 mini AI
BH is the base diagonal (40 cm) and BE is the space diagonal, so BE = sqrt(BH^2 + height^2) = sqrt(40^2 + 44^2) = sqrt(3536) ≈ 59.5 cm.

Answer: 59.5 cm.