
Answer:
The volume of the triangular prism = 648 cm³
Step-by-step explanation:
Check the image uploaded for the diagram of the prism.
Given;
hypothenuse side of the triangle, = 15 cm
base of the triangle, b = 12 cm
height of the triangle, h = 9 cm
height of the prism, I = 12 cm
The volume of the triangular prism = Area of the base triangle x height of the prism
The volume of the triangular prism = ¹/₂ x b x h x I
The volume of the triangular prism = ¹/₂ x 12 x 9 x 12
The volume of the triangular prism = 648 cm³