To solve the problem of determining the mass shown on each triple beam balance, we need to read the values from the three beams (the 100g, 10g, and 1g beams) and add them together. Let's go through each balance step by step.
Step 1: Understand the Triple Beam Balance
- The
largest beam (top beam) is the 100g beam.
- The
middle beam is the 10g beam.
- The
smallest beam (bottom beam) is the 1g beam.
- The rider on the 1g beam provides additional precision in grams.
Step 2: Solve for Each Balance
####
Balance 1:
1.
100g beam: The pointer is at
30g.
2.
10g beam: The pointer is at
40g.
3.
1g beam: The rider is at
3.5g.
4.
Total mass:
\[
30 \, \text{g} + 40 \, \text{g} + 3.5 \, \text{g} = 73.5 \, \text{g}
\]
####
Balance 2:
1.
100g beam: The pointer is at
60g.
2.
10g beam: The pointer is at
70g.
3.
1g beam: The rider is at
8.4g.
4.
Total mass:
\[
60 \, \text{g} + 70 \, \text{g} + 8.4 \, \text{g} = 138.4 \, \text{g}
\]
####
Balance 3:
1.
100g beam: The pointer is at
40g.
2.
10g beam: The pointer is at
30g.
3.
1g beam: The rider is at
5.6g.
4.
Total mass:
\[
40 \, \text{g} + 30 \, \text{g} + 5.6 \, \text{g} = 75.6 \, \text{g}
\]
Final Answers:
1.
Balance 1: \( \boxed{73.5 \, \text{g}} \)
2.
Balance 2: \( \boxed{138.4 \, \text{g}} \)
3.
Balance 3: \( \boxed{75.6 \, \text{g}} \)
Explanation:
- For each balance, read the value on each beam carefully.
- Add the values from all three beams to get the total mass.
- Ensure that the rider on the 1g beam is read precisely, as it provides the decimal part of the mass.
This method ensures accurate measurement using a triple beam balance.
Parent Tip: Review the logic above to help your child master the concept of triple beam balance worksheet.
