A rectangular box is 12 inches wide, 16 inches long, and 20 inches high. Which of the following is closest to the longest straight-line distance between any two corners of the box? A. 22 inches B. 25 inches C. 28 inches D. 30 inches E. 34 inches The OA is C. Please, can any expert assist me with this PS question? I don't have it clear and I appreciate if any explain it for me. Thanks.

AAPL wrote:A rectangular box is 12 inches wide, 16 inches long, and 20 inches high. Which of the following is closest to the longest straight-line distance between any two corners of the box? A. 22 inches B. 25 inches C. 28 inches D. 30 inches E. 34 inches The OA is C. Please, can any expert assist me with this PS question? I don't have it clear and I appreciate if any explain it for me. Thanks. Longest distance is the biggest diagonal=√(L^2+B^2+H^2) = √(〖〖12〗^2++〖16〗^2+20〗^(2 ) ) +√(144+256+400) =√800 =twenty eight point something because 〖28〗^2=784 Hence C is the right option

AAPL wrote:A rectangular box is 12 inches wide, 16 inches long, and 20 inches high. Which of the following is closest to the longest straight-line distance between any two corners of the box? A. 22 inches B. 25 inches C. 28 inches D. 30 inches E. 34 inches The OA is C. Please, can any expert assist me with this PS question? I don't have it clear and I appreciate if any explain it for me. Thanks. We can use the following formula to calculate the diagonal (or d): d^2 = 12^2 + 20^2 + 16^2 d^2 = 144 + 400 + 256 d^2 = 800 d = √800 = 20√2, so d is about 20 * 1.4 = 28. Answer: C

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