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

Answer: (B)

Verified step by step guidance

1. Identify the given volume in cubic inches: 38.5 in³.
2. Recall the conversion factor between inches and centimeters: 1 in = 2.54 cm.
3. Since volume is a cubic measurement, convert cubic inches to cubic centimeters by cubing the conversion factor: \(\left(2.54\ \text{cm}\right)^3\).
4. Set up the conversion equation: \(\text{Volume in cm}^3 = 38.5\ \text{in}^3 \times \left(2.54\ \text{cm/in}\right)^3\).
5. Calculate the numerical value of \(\left(2.54\right)^3\) and then multiply by 38.5 to find the volume in cm³.