Final answer:
When the dimensions of a rectangular prism are doubled, the new volume is eight times the original volume because the change in volume is the product of the changes in each of the three dimensions.
Step-by-step explanation:
The question pertains to the effect of changing dimensions on the volume of a rectangular prism. When the dimensions of a rectangular prism are all doubled, the new volume can be calculated by multiplying the original dimensions by 2. For instance, if Block A has dimensions of L x (2L) x L (which is 2L³ in volume), and Block B has its dimensions doubled to become 2L x (2L) x 2L, the new volume would be 8L³. This shows that the volume of Block B is four times the volume of Block A. The volume thus increases by a factor corresponding to the changes in each dimension multiplied together, which in this case is 2 x 2 x 2 = 8, indicating it's eight times the original volume.