Convert the height of a person who is 5.7 feet tall to centimeters. Include the inches-centimeter conversion factor. Use the table of Unit Equivalencies in the Lesson to create conversion factors. Show all conversion factors needed. Some spaces don’t require numbers, in which case enter a blank space. Some units will be blank, in which case select the second item in the list, which is a blank space. Round the final answer to decimal places if needed. The setup below should look like the typical dimensional analysis that you learned. If it doesn’t, resize the window on your computer if possible. Jeet Inches Centimeters Centimeters Inches
The Correct Answer and Explanation is:
To convert the height of a person who is 5.7 feet tall into centimeters, we will use dimensional analysis and the appropriate conversion factors. Here’s the step-by-step process:
Conversion Factors:
- 1 foot = 12 inches (this is the conversion between feet and inches)
- 1 inch = 2.54 centimeters (this is the conversion between inches and centimeters)
Step 1: Start with the given height in feet.
We are given that the person is 5.7 feet tall.
Step 2: Convert feet to inches.
Since 1 foot = 12 inches, we multiply the given height (in feet) by 12 to convert it to inches: 5.7 feet×12 inches/foot=68.4 inches5.7 \, \text{feet} \times 12 \, \text{inches/foot} = 68.4 \, \text{inches}5.7feet×12inches/foot=68.4inches
Step 3: Convert inches to centimeters.
Next, we use the conversion factor where 1 inch = 2.54 centimeters. Multiply the height in inches by this factor: 68.4 inches×2.54 cm/inch=173.736 cm68.4 \, \text{inches} \times 2.54 \, \text{cm/inch} = 173.736 \, \text{cm}68.4inches×2.54cm/inch=173.736cm
Step 4: Round the final result.
To present the height in centimeters with appropriate precision, we can round the result to two decimal places: 173.736 cm≈173.74 cm173.736 \, \text{cm} \approx 173.74 \, \text{cm}173.736cm≈173.74cm
Final Answer:
The height of the person in centimeters is 173.74 cm.
Explanation:
- We first converted feet to inches using the factor 1 foot=12 inches1 \, \text{foot} = 12 \, \text{inches}1foot=12inches.
- Then, we converted inches to centimeters using the factor 1 inch=2.54 cm1 \, \text{inch} = 2.54 \, \text{cm}1inch=2.54cm.
- Finally, we rounded the result to two decimal places for clarity and precision.
