Measuring Mass worksheet with four balance scale diagrams for calculating total mass.

Problem Description:

The task involves measuring the mass of an object using a balance scale. The image shows four different balance scales, each with three beams. To find the total mass, we need to add the values indicated by the black marks on each beam.

Solution Approach:

1. Identify the Values on Each Beam:
- Each beam has markings that represent specific mass values.
- The black mark on each beam indicates the mass value for that beam.

2. Sum the Values from All Three Beams:
- For each scale, add the values from the three beams to get the total mass.

3. Repeat for All Four Scales:
- Perform the above steps for each of the four scales shown in the image.

Step-by-Step Solution:

#### Scale 1:
- Beam 1: The black mark is at 100.
- Beam 2: The black mark is at 50.
- Beam 3: The black mark is at 10.
- Total Mass: \( 100 + 50 + 10 = 160 \).

#### Scale 2:
- Beam 1: The black mark is at 200.
- Beam 2: The black mark is at 70.
- Beam 3: The black mark is at 5.
- Total Mass: \( 200 + 70 + 5 = 275 \).

#### Scale 3:
- Beam 1: The black mark is at 300.
- Beam 2: The black mark is at 40.
- Beam 3: The black mark is at 2.
- Total Mass: \( 300 + 40 + 2 = 342 \).

#### Scale 4:
- Beam 1: The black mark is at 400.
- Beam 2: The black mark is at 80.
- Beam 3: The black mark is at 1.
- Total Mass: \( 400 + 80 + 1 = 481 \).

Final Answers:

1. Scale 1: \( \boxed{160} \)
2. Scale 2: \( \boxed{275} \)
3. Scale 3: \( \boxed{342} \)
4. Scale 4: \( \boxed{481} \)

Explanation:

Each scale's total mass is calculated by summing the individual mass values indicated by the black marks on the three beams. This method ensures accuracy in determining the total mass of the object being measured.