A rectangular parallelopiped is formed by planes drawn through the points $(5, 7, 9)$ and $(2, 3, 7)$ parallel to the coordinate planes. The length of an edge of this rectangular parallelopiped is :

2

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3

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4

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Solution

The correct option is B $3$
$P (5, 7, 9) Q (2, 3, 7)$
$P_{1} \div x = 5 P_{1}^{1} = x = 2$
$P_{2} \div y = 7 P_{2}^{1} \div y = 3$
$P_{3} \div z = 9 P_{3}^{1} \div z = 7$
$l = 5 - 2 = 3 [x - a x i s]$ (length)
$b = 7 - 3 = 4 [y - a x i s]$ (breadth)
$h = 9 - 7 = 2 [z - a x i s]$ (height)

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