Answer:
8m
Step-by-step explanation:
Volume of a square based pyramid = [tex]\frac{1}{3}a^{2}h[/tex] where;
a² is the base area of the pyramid since it is square shaped
h is the slant height.
Given Base area = 144m² and Volume = 384m³, on substituting this values given in the formula we have;
[tex]384 = \frac{1}{3}*144h \\cross\ multiplying\ \\384*3=144h\\h = \frac{384*3}{144} \\h = \frac{1,152}{144}\\ h = 8m[/tex]
The slant height of the pyramid is 8m
