Answer:
[tex]16\frac{2}{3}[/tex]cm
Step-by-step explanation:
Given dimensions:
[tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm by [tex]5\frac{2}{3}[/tex] cm
The total length:
it is the sum of all the sides;
[tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]
LCM of the denominators = 6 ;
[tex]\frac{38 + 28 + 34}{6}[/tex] = [tex]\frac{100}{6}[/tex]
= [tex]\frac{50}{3}[/tex]
= [tex]16\frac{2}{3}[/tex]cm
