Question

Find the length of the longest needles that can be put in a match box of dimension 12 cm X 4 cm X 3 cm .

Answer 1

Length $\left(l\right)=12cm$

breadth $\left(b\right)=4cm$

Height $\left(h\right)=3cm$

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

length of the diagonal of the box $=\sqrt{l^2+b^2+h^2}$

$=\sqrt{{\left(12\right)}^2+{\left(4\right)}^2+{\left(3\right)}^2}$

$=\sqrt{144+16+9}$

$=\sqrt{169}$

$=13cm$

Hence,

The length of the longest stick that can be $13cm.$