Answer: a = 8
Step-by-step explanation:
Volume of a square based pyramid is given as
[tex]\frac{a^{2}h }{3}[/tex] .
where a is the length of the side and h is the height.
Substituting into the formula , we have
V = [tex]\frac{a^{2}h }{3}[/tex]
128 = [tex]a^{2}h[/tex] /3
384= [tex]a^{2}[/tex] X 6
Divide through by 6
384/6 = [tex]a^{2}[/tex]
64 = [tex]a^{2}[/tex]
Therefore :
a = [tex]\sqrt{\frac{64}{1} }[/tex]
a = 8
