Question

The maximum length of a pencil that can be kept in a rectangular box of dimensions 12cm 9cm 8cm

Answer 1

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Answer 2

The maximum length of a pencil that can be kept in a rectangular box of dimensions 12cm 9cm 8cm is 17 cm

Step-by-step explanation:

Length of pencil box = 12 cm

Breadth of pencil box = 9 cm

Height of pencil box = 8 cm

We are supposed to find The maximum length of a pencil that can be kept in a rectangular box

So, maximum length of pencil must be along diagonal

Diagonal of cuboid = $\sqrt{l^2 +h^2 +b^2} = \sqrt{12^2+8^2+9^2}=17$

Hence The maximum length of a pencil that can be kept in a rectangular box of dimensions 12cm 9cm 8cm is 17 cm

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