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

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Answer Text

Solution :
Length of sheet, `l = 4.234 m` Breadth of sheet, `b = 1.005 m` Thickness of sheet, `h = 2.01 cm = 0.0201 m` The given table lists the respective significant figures: <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/NCERT_PHY_V01_XI_C02_E01_011_S01.png" width="80%"> <br> Hence, area and volume both must have least significant figures i.e., 3. Surface area of the sheet = 2 (l × b + b × h + h × l) = 2(4.234 × 1.005 + 1.005 × 0.0201 + 0.0201 × 4.234) = 2(4.25517 + 0.0202005 + 0.0851034) = 2 × 4.36 = 8.72 `m^2` Volume of the sheet = l × b × h = 4.234 × 1.005 × 0.0201 = `0.0855 m^3` This number has only 3 significant figures i.e., 8, 5, and 5.

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