Final answer:
The question lacks the dimensions or original volume for Block A to accurately determine the volume of the larger rectangular prism among the given options. The volume of a rectangular prism is found by multiplying the area of the base by its height. The question is related to the volume of similar rectangular prisms and how their volumes change proportionally when scaled.
Step-by-step explanation:
The question provided involves comparing the volume of similar rectangular prisms. Given that the prisms are similar, the ratio of their volumes is the cube of the ratio of their corresponding lengths. In the info provided, a small cube with a side length of 1 cm has a volume of 1 cm³ and a larger cube with sides 3 times longer (3 cm) has a volume of 27 cm³. For the rectangular prisms in question, it mentions Block A has a volume of 2L³, and Block B has a volume of 8L³, which is 4 times the volume of Block A. If Block A's volume changed, Block B's would change by 4 times that amount due to the proportionality of their volumes.
Unfortunately, the exact volumes of Block A and Block B are not mentioned directly within the question itself, making it impossible to determine the precise volume of the larger prism from the options given (1620 cm³, 810 cm³, 270cm³, 240 cm³) without the dimensions or a reference to the original volume for Block A. Therefore, an essential piece of information is missing to provide an accurate answer.