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

Answer: (C)

Verified step by step guidance

1. Start by understanding the conversion factors needed: 1 cm = 0.00001 km, so 1 cm³ = (0.00001 km)³.
2. Calculate the conversion factor for cubic centimeters to cubic kilometers: (0.00001 km)³ = 1 x 10^-15 km³.
3. Multiply the given volume in cm³ by the conversion factor: 1.15 x 10^8 cm³ * 1 x 10^-15 km³/cm³.
4. Simplify the expression by combining the exponents: 1.15 x 10^(8 - 15) km³.
5. The result is the volume in km³, which is 1.15 x 10^-7 km³.