Question

Determine the length of the longest metal rod which could be stored in a rectangle box 20 cm by 50 cm by 30 cm.

Answer 1

62 cm

Explanation:

D = √(20² + 50² + 30²)

= √(400 + 2500 + 900)

= √3800

= √38*10²

= 10√38

≈ 61.64

≈ 62 cm

Answer 2

61.64 cm

Explanation:

The longest metal rod which could be stored in a rectangular box will be equal to its diagonal:

`\therefore \: length \: of \:metal \: rod \\ = \sqrt{ {l}^(2) + {b}^(2) + {h}^(2) } \\ = \sqrt{ {20}^(2) + {50}^(2) + {30}^(2) } \\ = √(400 + 2500 + 900) \\ = √(3800) \\ = 61.64414 \\ = 61.64 \: cm`