To determine the ranking of the blocks based on the scale reading when each block is completely submerged in water, we need to follow the steps below:
1. Understand the Mass and Volume of Each Block:
Let's list the mass and volume given for each block:
- Block A: Mass = 100 g, Volume = 50 cm³
- Block B: Mass = 100 g, Volume = 200 cm³
- Block C: Mass = 200 g, Volume = 50 cm³
- Block D: Mass = 50 g, Volume = 100 cm³
- Block E: Mass = 200 g, Volume = 100 cm³
- Block F: Mass = 400 g, Volume = 50 cm³
2. Determine the Scale Reading:
In this scenario, regardless of the volume of the block, the scale reading will be equal to the mass of the block because the scale measures the weight of the block itself while it is completely submerged. Thus, we simply consider the mass of each block.
We summarize the masses:
- Scale reading for block A: 100 g
- Scale reading for block B: 100 g
- Scale reading for block C: 200 g
- Scale reading for block D: 50 g
- Scale reading for block E: 200 g
- Scale reading for block F: 400 g
3. Rank the Blocks by Scale Reading:
To rank the blocks based on their scale readings from the smallest to the largest, we sort their masses in ascending order:
- Block D: 50 g
- Block A: 100 g
- Block B: 100 g
- Block C: 200 g
- Block E: 200 g
- Block F: 400 g
4. Final Ranking:
By ordering the blocks from the lowest to the highest scale reading, we get the following ranking:
1. Block D (50 g)
2. Block A (100 g)
3. Block B (100 g)
4. Block C (200 g)
5. Block E (200 g)
6. Block F (400 g)
Hence, the blocks are ranked as follows based on the scale reading when submerged:
[tex]\[ \text{D, A, B, C, E, F} \][/tex]
