Answer:
The volume is 384 cm^2.
Step-by-step explanation:
The equation for a pyramid is the base area times the height divided by 3, so [tex]a^2h/3[/tex]. In this case, we know the side length but we do not know the height. We can use the Pythagorean Theorem to get:
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 64
b = 8
Therefore, our height is 8. Plug this into the equation to get:
12^2 (8) / 3
144 (8) / 3
1152 / 3
384
