Question 6

**Volume calculation** Convert all measurements to cm: - Length = 10.5 cm (3 significant figures) - Breadth = 0.05 mm = 0.005 cm (1 significant figure) - Thickness = 6.0 μm = 6.0 × 10⁻⁴ cm (2 significant figures) Volume = 10.5 × 0.005 × 6.0 × 10⁻⁴ = 3.15 × 10⁻⁵ cm³ **Significant figures rule** In multiplication, the result should be reported with the same number of significant figures as the measurement with the fewest significant figures. Here the breadth (0.05 mm) has only 1 significant figure. Therefore the volume must be rounded to 1 significant figure: V = 3 × 10⁻⁵ cm³ Checking the options: - (A) 3.2 × 10⁻⁵ → 2 sig. figs. (incorrect) - (B) 32.0 × 10⁻⁶ → 3 sig. figs. (incorrect) - (C) 3.0 × 10⁻⁵ → 2 sig. figs. (incorrect) - (D) 3 × 10⁻⁵ → 1 sig. fig. (correct)

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