Final answer:
The correct answer for the properties of the four bricks is that they have 'the same length,' as they are described as identical and uniform. The detailed explanation of Block A and B in terms of volume, cross-sectional area, and height changes due to temperature emphasizes their proportional relationship to their original dimensions.
Step-by-step explanation:
The question posed by the student concerns the properties of four identical and uniform bricks of length L. When comparing such bricks, the options provided suggest various attributes of the bricks. Option C, which is 'Have the same length', is the correct answer since the four bricks are described as identical and uniform, meaning all of them have the same lengths, width, and height, and thus, the same dimensions. Options A, B, and D are incorrect, considering that if the bricks are identical and uniform, they cannot be different in weight, shape, or size.
Regarding the check your understanding section, the comparison involves blocks A and B made of the same material but with different dimensions, and the questions revolve around how a temperature change affects their volume, cross-sectional area, and height. For Block A, the volume is L x 2L x L, which equals 2L³, and for Block B, the volume is 2L x 2L x 2L, equating to 8L³. Therefore, any change in volume due to temperature change would be proportional to each block's original volume, with Block B experiencing four times the volumetric change of Block A. The comparisons also apply to the other dimensions asked about in the question.
The subject matter of this question does not specifically pertain to bricks but uses bricks as a context to delve into an understanding of physics concepts such as volume, cross-sectional area, and the effects of temperature change on these dimensions. It's essential to note the distinction between mass and density as illustrated by the ton of feathers versus a ton of bricks riddle, where they have the same mass but vastly different densities.