Answer:
16 cm
Step-by-step explanation:
A "right" prism is one that has the planes of the lateral faces perpendicular to the plane of the base. Here, we assume your "right triangular prism" is one that has a right triangle as a base, because you mention the "hypotenuse."
The area of the base is ...
A = (1/2)bh = (1/2)(12 cm)(12 cm) = 72 cm²
The volume of the prism is ...
V = Bh . . . . where B represents the area of the base
Filling in the numbers, we have ...
1152 cm³ = 72 cm²×h
h = (1152/72) cm = 16 cm
The height of the prism is 16 cm.
