Answer :

jsace918

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

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