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

Answer:

61.64 cm

Step-by-step explanation:

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

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

Answer 2

Answer:

62 cm

Step-by-step explanation:

D = √(20² + 50² + 30²)

= √(400 + 2500 + 900)

= √3800

= √38*10²

= 10√38

≈ 61.64

≈ 62 cm