Final answer:
The volume of the triangular prism is calculated by first finding the base area of the triangle and then multiplying it by the height of the prism, resulting in a volume of 63 cm³.
Step-by-step explanation:
The volume of a triangular prism can be calculated using the formula: Volume = Base Area x Height. The base of the prism is a triangle, so first, we need to calculate the area of the triangle using the formula Area = 1/2 x base x height. Given the dimensions are 3 cm and 6 cm, the area of the base triangle is 1/2 x 3 cm x 6 cm which equals 9 cm². The volume of the prism is then the area of the triangle multiplied by the length of the prism, which is 7 cm in this case. Therefore, the volume of the triangular prism is 9 cm² x 7 cm which equals 63 cm³.