Question

the Length breadth and height of a Matchbox are 8 cm and 4 cm is 1 cm respectively then its length of its diagonal is​

Answer 1

Step-by-step explanation:

By formula we have the length of a diagonal of a cuboid as,

$\sqrt{ {l}^{2} + {b}^{2} + {h}^{2} }$

Substituting the values of l,b,h we get

$\sqrt{ {8}^{2} + {4}^{2} + {1}^{2} } \\ \sqrt{64 + 16 + 1} \\ \sqrt{81} = 9$

Therefore the length of the diagonal of the matchbox is

9 cm.