Question

A child’s shoe box measures 4" by 6" by 3". What is the longest pencil you could fit into this box?

Answer 1

5in

Explanation:

Given data

Lenght= 4 in

Width= 6 in

Height= 3 in

Applying the Pythagoras theorem,

Let the longest pencil that could fit in be z

z^2= l^2+ h^2

z^2= 4^2+ 3^2

z^2= 16+9

z^2= 25

z= √25

z= 5 in

Hence the longest pencil is 5in