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Q1.11: NCERT Physics - Part 1 UNITS AND MEASUREMENT 1.11 Solution: The length, breadth and thickness of a rectangular sheet of…

⚠️ Common Exam Traps & Conceptual Pitfalls

When multiplying measured dimensions, first convert all quantities to the same unit and then round the product to the number of significant figures of the least‑precise factor (e.g., thickness 2.01 cm → 0.0201 m has 3 sf, so volume must be reported with 3 sf). Ignoring this rule or rounding before conversion leads to extra or missing digits.

The length, breadth and thickness of a rectangular sheet of metal are 4.234 m, 1.005 m, and 2.01 cm respectively. Give the area and volume of the sheet to correct significant figures.

Step-by-Step Verified Solution

**Answer:** Area = 4.255 m24.255 \text{ m}^2, Volume = 8.55×10−2 m38.55 \times 10^{-2} \text{ m}^3. **Step-by-Step Explanation:** Thickness = 2.01 cm=0.0201 m2.01 \text{ cm} = 0.0201 \text{ m}. Area = 4.234×1.005=4.25517 m2≈4.255 m24.234 \times 1.005 = 4.25517 \text{ m}^2 \approx 4.255 \text{ m}^2 (4 significant figures). Volume = 4.255×0.0201=0.0855 m3=8.55×10−2 m34.255 \times 0.0201 = 0.0855 \text{ m}^3 = 8.55 \times 10^{-2} \text{ m}^3 (3 significant figures).

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