3 Metric Measurements (Length) In this exercise, students will measure the length. The metric unit for measuring length is the meter. Obtain a small metric ruler. How many centimeters are shown on the ruler? How many millimeters are shown? Round to the nearest mm. Measure the length of your index finger. Measure the length, width, and height of each block in cm. Select three small blocks. Calculate the volume of each block by multiplying the length, width, and height. Record those values below: Volume (cm³), Width (cm), Height (cm), Volume (cm³), Block Length (cm). What is the volume of the block in mm³? Remember to convert millimeters to centimeters before you multiply. Obtain a meter stick. Measure the height of your lab partner in centimeters. Record your height and gender (male/female) in the class data table on the board in the lab. This data is needed for Section 1.7. Again using the meter stick, measure the length and width of the lab table in centimeters. Calculate the area of the lab table by multiplying the length and width. Remember to convert to square centimeters before you multiply. What is the area of the lab table in cm²? 100 Inches Centimeters 254cm
The Correct Answer and Explanation is:
Correct Answers and Explanation:
- Centimeters and Millimeters on the Ruler:
- A standard small metric ruler typically shows 30 centimeters.
- Since 1 centimeter = 10 millimeters, 30 centimeters = 300 millimeters.
- If rounding to the nearest millimeter, this remains 300 mm.
- Length of Index Finger:
- The length of the average index finger is approximately 7 to 9 centimeters. For this example, let’s say it measures 8.2 cm.
- Block Measurements:
- Block 1: Length = 3.0 cm, Width = 2.0 cm, Height = 1.5 cm
Volume = 3.0 × 2.0 × 1.5 = 9.0 cm³ - Block 2: Length = 4.0 cm, Width = 2.5 cm, Height = 2.0 cm
Volume = 4.0 × 2.5 × 2.0 = 20.0 cm³ - Block 3: Length = 5.0 cm, Width = 3.0 cm, Height = 2.0 cm
Volume = 5.0 × 3.0 × 2.0 = 30.0 cm³
- Block 1: Length = 3.0 cm, Width = 2.0 cm, Height = 1.5 cm
- Volume Conversion to mm³:
- 1 cm³ = 1000 mm³
Block 1: 9.0 cm³ = 9000 mm³
Block 2: 20.0 cm³ = 20000 mm³
Block 3: 30.0 cm³ = 30000 mm³
- 1 cm³ = 1000 mm³
- Height of Lab Partner:
- Example: Lab partner height = 162 cm
Your height: 170 cm
Gender: Male
- Example: Lab partner height = 162 cm
- Lab Table Area:
- Length = 120 cm
- Width = 80 cm
Area = 120 × 80 = 9600 cm²
- Conversion Example:
- 100 inches = 254 centimeters
Explanation:
The metric system is based on powers of ten, making conversions simple. The base unit of length is the meter. A centimeter is one hundredth of a meter, and a millimeter is one tenth of a centimeter. Therefore, a ruler with 30 centimeters measures 300 millimeters in total.
Measuring body parts and objects using a metric ruler or meter stick gives practical insight into metric units. Calculating volume involves multiplying the length, width, and height of an object, always ensuring the units are consistent. To convert cubic centimeters to cubic millimeters, multiply by 1000.
Measuring area (such as for a lab table) requires multiplying length by width. The result is expressed in square centimeters. Accurate measurement and unit conversion are essential in scientific work and daily life.
