Final answer:
The task is to compare the volumes of two prisms where one prism’s volume is 18 cubic feet more than the other. The volume of a prism is calculated by multiplying the area of the base by the height (V = Ah). More information is needed to determine the specific volumes, but proportionally if a prism's dimensions are increased, the volume changes by the cube of the scaling factor.
Step-by-step explanation:
The question involves calculating the volume of two different prisms and understanding the relationship between their volumes. A prism is a geometrical figure with two congruent and parallel faces (the bases) and sides that are parallelograms. The volume of a prism is found by multiplying the area of the base by the height of the prism (V = Ah).
From the provided information, we are given a scenario where one prism's volume is 18 cubic feet more than another. If we let the volume of the first prism be V, then the volume of the second prism would be V + 18. To find the exact volumes, we need additional information about the prisms such as the dimensions of their bases and their heights.
In the context of proportional change in volume, if the dimensions of one prism are scaled up by a certain factor, the volume will scale up by the cube of that factor because volume is three dimensional. This is why Block B with a volume of 8L³ is exactly 4 times larger than Block A with a volume of 2L³.