Multiple Choice
Which of the following best describes how dimensional analysis is used to convert units of measure?
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1. Intro to General Chemistry
Dimensional Analysis
Multiple Choice
The volume of a container is found to be 38.5 in^3. What is the volume in units of cm^3? (1 in = 2.54 cm)
A
154 cm^3
B
631 cm^3
C
245 cm^3
D
98.0 cm^3
Verified step by step guidance1
Identify the given volume in cubic inches: 38.5 in³.
Recall the conversion factor between inches and centimeters: 1 in = 2.54 cm.
Since volume is a cubic measurement, convert cubic inches to cubic centimeters by cubing the conversion factor: \(\left(2.54\ \text{cm}\right)^3\).
Set up the conversion equation: \(\text{Volume in cm}^3 = 38.5\ \text{in}^3 \times \left(2.54\ \text{cm/in}\right)^3\).
Calculate the numerical value of \(\left(2.54\right)^3\) and then multiply by 38.5 to find the volume in cm³.
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