Question

The length of the side of a cube is \( 1.1 \times 10^{-2} \) m. Its volume in \( m^3 \) up to correct significant figures is:

• A. \( 1.4 \times 10^{-6} \)
• B. \( 1.33 \times 10^{-6} \)
• C. \( 1.23 \times 10^{-6} \)
• D. \( 1.42 \times 10^{-6} \)
• E. \( 1.3 \times 10^{-6} \)

Hint:

Always ensure the result matches the precision of the least significant figure in the given data.

Answer 1

Answer: (E)

Step 1: The volume of the cube is calculated as \( V = (\text{side length})^3 \).
Step 2: \( V = (1.1 \times 10^{-2})^3 = 1.331 \times 10^{-6} \, m^3 \).
Step 3: Rounding to the correct significant figures gives \( 1.3 \times 10^{-6} \, m^3 \).
Step 4: Therefore, the correct answer is (E).