Textbook Question
Use metric conversion factors to solve each of the following problems:
b. A glass of orange juice contains 3.2 dL of juice. How many milliliters of orange juice are in the glass?
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1. Matter and Measurements
Metric Prefixes
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If a room has a volume of 1.15 x 108 cm3, what is the volume in km3?
A
1150 km3
B
115 km3
C
1.15 x 10-7 km3
D
1.15 x 105 km3
Verified step by step guidance1
Start by understanding the conversion factors needed: 1 km = 10^5 cm, so 1 km^3 = (10^5 cm)^3.
Calculate the conversion factor from cm^3 to km^3: (10^5 cm)^3 = 10^15 cm^3, so 1 km^3 = 10^15 cm^3.
To convert the volume from cm^3 to km^3, divide the given volume in cm^3 by the conversion factor: 1.15 x 10^8 cm^3 / 10^15 cm^3/km^3.
Simplify the expression: 1.15 x 10^8 / 10^15 = 1.15 x 10^(8-15).
The final expression simplifies to 1.15 x 10^-7 km^3, which is the volume of the room in km^3.
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