Answer: 96 cubic centimeters
Step-by-step explanation:
The hint pretty much gives away the entire answer. You just need to compute
and you should get 96 cm^3
The portion
represents the area of the triangular face (it has base = 6 and height = 4). Recall that base*height/2 is the area of any triangle. The area of the triangle is (4*6)/2 = 24/2 = 12 cm^2.
Once you know the base face area, you multiply that by the depth of the prism which is 8 cm. So we get 12*8 = 96 cm^3