Question

The length of the side of a cube is \( 1.2 \times 10^{-2} \) m. Its volume up to correct significant figures is:

• A. \( 1.732 \times 10^{-6} \, \text{m}^3 \)
• B. \( 1.73 \times 10^{-6} \, \text{m}^3 \)
• C. \( 1.70 \times 10^{-6} \, \text{m}^3 \)
• D. \( 1.7 \times 10^{-6} \, \text{m}^3 \)

Hint:

When calculating the volume of a cube, make sure to cube the side length and round the result to the correct number of significant figures.

Answer 1

The Correct Option is B

The volume \( V \) of a cube is given by the formula: \[ V = \text{side}^3 \] Substitute the given side length \( 1.2 \times 10^{-2} \) m: \[ V = \left( 1.2 \times 10^{-2} \right)^3 = 1.728 \times 10^{-6} \, \text{m}^3 \] Rounding this to the correct number of significant figures: \[ V = 1.73 \times 10^{-6} \, \text{m}^3 \]