### Step-by-Step Solution:
To solve the given problem, we rely on the properties of density and its relationship with mass and displacement.
1. Given Data:
- Density of Material A: 19.1 g/cm³
- Density of Material B: 11 g/cm³
- Density of Material C: 1 g/cm³
- Density of Material D: 0.92 g/cm³
- Density of Water: 1 g/cm³
2. i. Which material floats on water among them?
A substance floats on water if its density is less than the density of water. Given the densities:
- Density of A: 19.1 g/cm³ (greater than water, so it sinks)
- Density of B: 11 g/cm³ (greater than water, so it sinks)
- Density of C: 1 g/cm³ (equal to water, so it neither floats nor sinks, it stays suspended)
- Density of D: 0.92 g/cm³ (less than water, so it floats)
Thus, the material that floats on water is Material D.
3. ii. Mass of which material will be more when volume of the materials A and D is the same?
The mass of a material is given by the formula:
[tex]\[
\text{Mass} = \text{Density} \times \text{Volume}
\][/tex]
When the volume of materials A and D is the same, we compare the products of their densities and volume:
- For Material A: [tex]\(\text{Mass}_A = 19.1 \times \text{Volume}\)[/tex]
- For Material D: [tex]\(\text{Mass}_D = 0.92 \times \text{Volume}\)[/tex]
Since [tex]\(19.1 > 0.92\)[/tex], the material with higher mass when the volumes are the same is Material A.
4. iii. Which of them displaces more water when materials A and D are kept in water and have the same volume?
The amount of water displaced by an object when it is submerged in water is equal to the volume of the object, irrespective of its density. Since Materials A and D have the same volume:
- Both displace the same volume of water.
Therefore, both materials displace Equal amounts of water.
5. iv. Write the name of material D.
Material D is commonly recognized for having a density of 0.92 g/cm³, which matches that of ice. Hence, the name of material D is:
Material D is typically understood to be ice.
### Summary:
i. Material D floats on water.
ii. Material A will have more mass when volumes of A and D are the same.
iii. Both A and D displace equal amounts of water when submerged with the same volume.
iv. Material D is typically understood to be ice.
