Problem Description:
The image shows a ruler with measurements in three different units: millimeters (mm), centimeters (cm), and inches. The task is to understand the relationship between these units and solve any related problems based on the given information.
Key Information from the Image:
1.
300 millimeters (mm) is equivalent to
30 centimeters (cm).
2.
30 centimeters (cm) is equivalent to
12 inches.
3. The rulers are aligned to show the same length in all three units.
Solution Explanation:
#### Step 1: Understand the Conversion Factors
-
1 centimeter (cm) = 10 millimeters (mm): This is evident from the top two rulers, where each centimeter mark corresponds to 10 millimeter marks.
-
1 inch ≈ 2.54 centimeters (cm): This is a standard conversion factor. Since 12 inches = 30 cm, we can verify:
\[
12 \text{ inches} \times 2.54 \text{ cm/inch} = 30.48 \text{ cm}
\]
The slight discrepancy (30.48 cm vs. 30 cm) is due to rounding for simplicity in the image.
#### Step 2: Verify the Equivalence
-
300 mm = 30 cm: This is straightforward because 1 cm = 10 mm.
-
30 cm = 12 inches: Using the conversion factor \(1 \text{ inch} = 2.54 \text{ cm}\):
\[
30 \text{ cm} \div 2.54 \text{ cm/inch} \approx 11.81 \text{ inches}
\]
Rounding to the nearest whole number gives 12 inches, which matches the image.
#### Step 3: Solve Potential Problems
If the task involves converting a specific measurement, we can use the relationships above. For example:
- Convert 150 mm to inches:
\[
150 \text{ mm} = 15 \text{ cm} \quad (\text{since } 1 \text{ cm} = 10 \text{ mm})
\]
\[
15 \text{ cm} \div 2.54 \text{ cm/inch} \approx 5.91 \text{ inches}
\]
- Convert 6 inches to millimeters:
\[
6 \text{ inches} \times 2.54 \text{ cm/inch} = 15.24 \text{ cm}
\]
\[
15.24 \text{ cm} \times 10 \text{ mm/cm} = 152.4 \text{ mm}
\]
Final Answer:
The image illustrates the equivalence of 300 mm, 30 cm, and 12 inches. The conversion factors are:
-
1 cm = 10 mm
-
1 inch ≈ 2.54 cm
If you have a specific problem or conversion to solve, please provide the details, and I can assist further!
\boxed{300 \text{ mm} = 30 \text{ cm} = 12 \text{ inches}}
Parent Tip: Review the logic above to help your child master the concept of printable ruler with millimeters actual size.
