In the given right triangular prism, ADFG constitutes one of the bases, and the appropriate unit for volume is cubic centimeters. However, details about the height and the specific area of the base are not conclusively determined. (2 and 4 are correct)
Let's analyze each statement:
1. The height of the prism is 10 cm.
- This statement is not necessarily true. The height of a right triangular prism is typically measured perpendicular to the base. The provided information about AC and AD doesn't directly determine the height.
2. ADFG is a base.
- This statement is true. A base of the right triangular prism can be identified by the vertices, and ADFG forms one of the bases.
3. ADFG is a lateral side.
- This statement is not true. ADFG is a base, not a lateral side.
4. The appropriate unit of measure for the volume is cubic centimeters.
- This statement is true. Volume is measured in cubic units, and in this context, cubic centimeters is appropriate.
5. The area of the base is 45 square centimeters.
- This statement is not necessarily true. The area of the base cannot be determined solely from the information given.
So, the true statements are 2 and 4.