### Diameter Conversion **Problem Statement:** The diameter of a cylindrical post is 12.7 centimeters. What is the diameter in millimeters? What is it in meters? **Explanation:** To convert the diameter from centimeters (cm) to millimeters (mm) and meters (m), use the following conversion factors: - 1 centimeter = 10 millimeters - 1 centimeter = 0.01 meters **Steps for Conversion:** 1. **Convert to Millimeters:** \[ 12.7 \, \text{cm} \times 10 \, \left(\frac{\text{mm}}{\text{cm}}\right) = 127 \, \text{mm} \] 2. **Convert to Meters:** \[ 12.7 \, \text{cm} \times 0.01 \, \left(\frac{\text{m}}{\text{cm}}\right) = 0.127 \, \text{m} \] **Answers:** - The diameter in millimeters is 127 mm. - The diameter in meters is 0.127 m. Use these conversions to relate to various real-world contexts and develop a solid understanding of metric units.
### Diameter Conversion **Problem Statement:** The diameter of a cylindrical post is 12.7 centimeters. What is the diameter in millimeters? What is it in meters? **Explanation:** To convert the diameter from centimeters (cm) to millimeters (mm) and meters (m), use the following conversion factors: - 1 centimeter = 10 millimeters - 1 centimeter = 0.01 meters **Steps for Conversion:** 1. **Convert to Millimeters:** \[ 12.7 \, \text{cm} \times 10 \, \left(\frac{\text{mm}}{\text{cm}}\right) = 127 \, \text{mm} \] 2. **Convert to Meters:** \[ 12.7 \, \text{cm} \times 0.01 \, \left(\frac{\text{m}}{\text{cm}}\right) = 0.127 \, \text{m} \] **Answers:** - The diameter in millimeters is 127 mm. - The diameter in meters is 0.127 m. Use these conversions to relate to various real-world contexts and develop a solid understanding of metric units.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
![### Diameter Conversion
**Problem Statement:**
The diameter of a cylindrical post is 12.7 centimeters.
What is the diameter in millimeters?
What is it in meters?
**Explanation:**
To convert the diameter from centimeters (cm) to millimeters (mm) and meters (m), use the following conversion factors:
- 1 centimeter = 10 millimeters
- 1 centimeter = 0.01 meters
**Steps for Conversion:**
1. **Convert to Millimeters:**
\[
12.7 \, \text{cm} \times 10 \, \left(\frac{\text{mm}}{\text{cm}}\right) = 127 \, \text{mm}
\]
2. **Convert to Meters:**
\[
12.7 \, \text{cm} \times 0.01 \, \left(\frac{\text{m}}{\text{cm}}\right) = 0.127 \, \text{m}
\]
**Answers:**
- The diameter in millimeters is 127 mm.
- The diameter in meters is 0.127 m.
Use these conversions to relate to various real-world contexts and develop a solid understanding of metric units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8918ac98-5bcf-465f-8c11-409b4d478a84%2Fc6e320df-8fbc-40b8-8927-133a0789a43a%2F6q1jwya.jpeg&w=3840&q=75)
Transcribed Image Text:### Diameter Conversion
**Problem Statement:**
The diameter of a cylindrical post is 12.7 centimeters.
What is the diameter in millimeters?
What is it in meters?
**Explanation:**
To convert the diameter from centimeters (cm) to millimeters (mm) and meters (m), use the following conversion factors:
- 1 centimeter = 10 millimeters
- 1 centimeter = 0.01 meters
**Steps for Conversion:**
1. **Convert to Millimeters:**
\[
12.7 \, \text{cm} \times 10 \, \left(\frac{\text{mm}}{\text{cm}}\right) = 127 \, \text{mm}
\]
2. **Convert to Meters:**
\[
12.7 \, \text{cm} \times 0.01 \, \left(\frac{\text{m}}{\text{cm}}\right) = 0.127 \, \text{m}
\]
**Answers:**
- The diameter in millimeters is 127 mm.
- The diameter in meters is 0.127 m.
Use these conversions to relate to various real-world contexts and develop a solid understanding of metric units.
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