Question

In a box whose dimensions are 12cm and 4cm and 3cm,what is the length of the longest stick that can be palaces?

Answer 1

Given:

Length (l)= 12cm
Breadth (b)= 4cm
Height (h)= 3 cm

The longest stick that can be placed will be along the diagonal of the box.

Length of the Diagonal of the box = √l²+b²+h²

= √ 12²+4²+3²=√144+16+9= √169= 13 cm

Hence, the length of the longest stick that can be palace = 13 cm

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Hope this will help you...

Answer 2

$given \: that \\ length = 12cm \\ breath = 4cm \\ height = 3cm$
$Lengh \: of \: diagonal \: \sqrt{ (l)^{2} \: + (b)^{2} + (h)^{2}} \\ = \sqrt{12 + 4 + 3} \\ = \sqrt(12) ^{2} + {(4)}^{2} + {(3)}^{2}$ =√ 144 + 16 + 9

=√ 169
=13cm