The maximum length of a pencil that can be kept in a rectangular

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The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm x 6 cm x 2 cm, is ?

1. 2√13 cm
2. 2√14 cm
3. 2√26 cm
4. 10√2 cm

Correct Option: C

Length of largest pencil that can be kept in a box
= Diagonal of box = √l² + b² + h²
where, l = 8 cm, b = 6 cm , h = 2 cm
= √64 + 36 + 4
= √104 = 2√26