Final answer:
The height of the triangular base cannot be determined without the base length. The volume of the triangular prism cannot be determined without the height. The surface area of the prism is larger than the base area.
Step-by-step explanation:
A) To find the height of the triangular base, we need to know the formula for the area of a triangle. The formula is A = 1/2 × base × height. Since the base is given as 24 cm², we can rearrange the formula to solve for the height: height = 2A/base = 2(24 cm²)/base. Since the base is not given, we cannot determine the height.
B) To calculate the volume of the triangular prism, we need to multiply the area of the base by the height of the prism. The area of the base is given as 24 cm² and the height of the prism is not given, so we cannot determine the volume.
C) To determine the surface area of the triangular prism, we need to calculate the area of each face and add them together. Since the base has an area of 24 cm², and there are two triangular faces and three rectangular faces, the total surface area of the prism would be larger than 24 cm².
D) Without more information, we cannot find the length of one of the triangular sides.