Math  /  Numbers & Operations

QuestionSuppose that you find in a reference book that the volume of all the oceans is 1.4×109 km31.4 \times 10^{9} \mathrm{~km}^{3}. To find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. What is this volume in cubic meters?
Express your answer in cubic meters. View Available Hint(s)
Hint 1. Find the conversion factor \square 1.4×109 km3=1.4 \times 10^{9} \mathrm{~km}^{3}= \square m3\mathrm{m}^{3}

Studdy Solution
Apply the conversion factor to the given volume in cubic kilometers.
Given volume: 1.4×109 km31.4 \times 10^{9} \mathrm{~km}^{3}
Convert to cubic meters: 1.4×109 km3×109 m3/ km3=1.4×1018 m3 1.4 \times 10^{9} \mathrm{~km}^{3} \times 10^{9} \mathrm{~m}^{3}/\mathrm{~km}^{3} = 1.4 \times 10^{18} \mathrm{~m}^{3}
The volume of all the oceans in cubic meters is: 1.4×1018 m3 1.4 \times 10^{18} \mathrm{~m}^{3}

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