Final answer:
To make Wilma and Fred's block parts equal in volume, changes to Block B's volume should be four times those made to Block A, considering the volume ratio. The proportional relationship extends to other dimensions as well, affected by factors like temperature change.
Step-by-step explanation:
To combine the model block stores of Wilma and Fred to create one store with equal volume parts, we must understand that the volume change is proportional to the original volume of each block. Block A has a volume calculated by multiplying its dimensions (L x 2L x L), resulting in 2L³. Block B, on the other hand, with dimensions (2L x 2L x 2L), has a volume of 8L³, which is exactly four times larger than that of Block A.
To make the parts equal in volume, the changes made to Block B must be four times the changes made to Block A. Specifically, if Block A's volume increases by a certain amount, the volume of Block B must increase by four times that amount to keep the ratio the same. When considering changes in temperature that affect volume, the same proportional relationship would apply: the change in volume, cross-sectional area, and height for Block B would need to be proportionally larger than those for Block A.
In terms of mass and density, for blocks of the same volume, mass is directly related to density. To better understand these relationships, conducting experiments using a density simulation or water displacement can offer practical insight into how volume, mass, and density interact, especially when observing how different materials behave under varying conditions.