Answer :
Final answer:
The nominal size of the most common block typically used in construction is 8" x 8" x 16". The options provided in the question do not accurately represent this size. To calculate changes in dimensions due to temperature changes, the coefficient of thermal expansion is required.
Explanation:
When considering the nominal size of the most common block, we often refer to the standard sizes that are commonly used in the construction industry. None of the given options 1) 2" x 8" x 4", 2) 2 1/4" x 8" x 3 3/4", 3) 8" x 16" x 8", 4) 7 5/8" x 15 5/8" x 7 5/8" directly answer the initial query as they do not match the standard nominal dimensions for concrete blocks, which are typically 8" x 8" x 16". However, the option 3) 8" x 16" x 8" seems to be the closest to standard block size, but it is not accurately listed. The correct nominal size of the most common block that is commonly used is 8" x 8" x 16".
To calculate changes in volume, cross-sectional area, and height due to temperature change for two blocks A and B, we would need to know the material's coefficient of thermal expansion. Unfortunately, without this information, we cannot accurately determine the changes in dimensions for blocks A (L x 2L x L) and B (2L x 2L x 2L). In general, if the temperature increases, all dimensions of a block would increase proportionally according to the coefficient of thermal expansion of the material.