Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![### Measuring Volume: Converting Between Cubic Units
**Question:**
How many cubic millimeters equal one cubic meter?
**Instructions:**
Enter the answer as an exact number. Show superscripts correctly for exponents.
---
**Answer Explanation:**
To solve this, we need to understand the relationship between meters and millimeters in terms of cubic measurements. There are 1,000 millimeters in a meter. Therefore, to convert cubic meters to cubic millimeters, we need to cube the conversion factor (1,000 mm = 1 m):
\[
(1,000 \, \text{mm})^3 = 1,000^3 \, \text{mm}^3
\]
Calculating the above gives:
\[
1,000^3 = 1,000,000,000 \, \text{mm}^3
\]
Hence, one cubic meter is equal to 1,000,000,000 cubic millimeters.
---
**Final Answer:**
1 cubic meter \( = 1,000,000,000 \, \text{mm}^3 \)
Ensure to enter the superscripts correctly when denoting exponents, e.g., \( 10^3 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7aed86dd-d5c3-48c6-a690-9abed80f4c22%2F6690f6aa-6a75-4e19-ae94-1d8ad407fc3e%2Fh37v1iz.jpeg&w=3840&q=75)
Transcribed Image Text:### Measuring Volume: Converting Between Cubic Units
**Question:**
How many cubic millimeters equal one cubic meter?
**Instructions:**
Enter the answer as an exact number. Show superscripts correctly for exponents.
---
**Answer Explanation:**
To solve this, we need to understand the relationship between meters and millimeters in terms of cubic measurements. There are 1,000 millimeters in a meter. Therefore, to convert cubic meters to cubic millimeters, we need to cube the conversion factor (1,000 mm = 1 m):
\[
(1,000 \, \text{mm})^3 = 1,000^3 \, \text{mm}^3
\]
Calculating the above gives:
\[
1,000^3 = 1,000,000,000 \, \text{mm}^3
\]
Hence, one cubic meter is equal to 1,000,000,000 cubic millimeters.
---
**Final Answer:**
1 cubic meter \( = 1,000,000,000 \, \text{mm}^3 \)
Ensure to enter the superscripts correctly when denoting exponents, e.g., \( 10^3 \).
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