Answer:
Step-by-step explanation:
Square pyramid diameter = [tex]\sqrt{36} \\[/tex] = 6 cm
Square pyramid distance from midpoint = [tex]\frac{d}{2} = 3 cm\\[/tex]
Using Pythagoras Theorem,
[tex]l^{2} = h^{2} + \frac{d}{2} ^{2}[/tex]
[tex]l^{2} = 16 + 9\\\\[/tex][tex]= 25 = 5^{2}\\\\[/tex]
[tex]l = 5 cm\\[/tex]
Slant height of square pyramid: 5 cm.