A rectangular parallelopiped is formed by planes x = 0, x = 1, y = 0, y = 2, z = 0, z = 3. Find the length of its diagonal. A. √(6) B. √(14) C. √(12) D. 14 Answer: B) √(14) Explanation: The opposite vertices are (0,0,0) and (1,2,3). Distance = √(1² + 2² + 3²) = √(1 + 4 + 9) = √(14).

imo class 12 three dimensional geometry

A rectangular parallelopiped is formed by planes x = 0, x = 1, y = 0, y = 2, z = 0, z = 3. Find the length of its diagonal.

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A rectangular parallelopiped is formed by planes x = 0, x = 1, y = 0, y = 2, z = 0, z = 3. Find the length of its diagonal.

Answer: B) √(14)

Explanation: The opposite vertices are (0,0,0) and (1,2,3). Distance = √(1² + 2² + 3²) = √(1 + 4 + 9) = √(14).