Let's analyze the problem step-by-step based on the provided densities of materials A, B, C, and D.
Firstly, we have the densities provided in the table:
- Material A: 140
- Material B: 78
- Material C: 186
- Material D: 124
We need to verify each of the four statements:
1. Material B is the least dense.
- Compare the density of Material B (78) with the densities of other materials: A (140), C (186), and D (124).
- 78 is less than 140, 186, and 124.
- Thus, Material B is indeed the least dense.
2. Material C is the most dense.
- Compare the density of Material C (186) with the densities of other materials: A (140), B (78), and D (124).
- 186 is greater than 140, 78, and 124.
- Thus, Material C is indeed the most dense.
3. Material A is denser than Material D.
- Compare the density of Material A (140) with the density of Material D (124).
- 140 is greater than 124.
- Thus, Material A is denser than Material D.
4. Material D is denser than Material A.
- Compare the density of Material D (124) with the density of Material A (140).
- 124 is less than 140.
- Thus, Material D is not denser than Material A.
The resulting analysis gives us:
1. Material B is the least dense: True
2. Material C is the most dense: True
3. Material A is denser than Material D: True
4. Material D is denser than Material A: False
Therefore, the correct statements based on the given densities are:
- Material B is the least dense.
- Material C is the most dense.
- Material A is denser than Material D.
