we are given
Camilo has bought a bowling ball as a gift to his father
we know that
shape of box is always spherical
whose radius is
[tex]=\frac{27}{2}[/tex]
a wooden box that fits just right
so, shape of wooden box will be either cube box or rectangular box
Since, the internal part of box fit to ball will make cube box
so, length of box = diameter of ball
and we know that
diameter = 2* radius
so, we get
[tex]diameter=2\times \frac{27}{2}=27[/tex]
so, length of box is 27
width of box = diameter of ball
width of box = 27
height of box = diameter of ball
height of box = 27
so, the dimensions of cube are
[tex]27\times 27\times 27[/tex].............Answer