What is the volume, in m^3, of a cube with sides of length 11.0 cm?

• A. 1.33 × 10^{-3} m^3
• B. 1.21 × 10^{-3} m^3
• C. 1.33 × 10^{-2} m^3
• D. 1.33 × 10^{-4} m^3

Answer: (D)

Verified step by step guidance

1. Identify the formula for the volume of a cube, which is given by \(V = s^3\), where \(s\) is the length of one side of the cube.
2. Convert the side length from centimeters to meters because the volume needs to be in cubic meters. Use the conversion factor \$1 \text{ cm} = 0.01 \text{ m}\(, so \)s = 11.0 \text{ cm} = 11.0 \times 0.01 \text{ m}$.
3. Substitute the converted side length into the volume formula: \(V = (11.0 \times 0.01)^3\).
4. Calculate the cube of the side length in meters, remembering to cube both the numerical value and the unit.
5. Express the final volume in scientific notation to match the format of the answer choices.