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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. - Physics

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प्रश्न

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.

संख्यात्मक
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उत्तर

Given: 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:

Quantity Number Significant Figure
l 4.234 4
b 1.005 4
h 0.0201 3

Hence, area and volume both must have the least significant figures, i.e., 3.

Area of the sheet = l × b

= 4.234 × 1.005

= 4.25517 m2

Volume of the sheet = l × b × h

= 4.234 × 1.005 × 0.0201

= 0.085528917 m3

After rounding off = 0.0855 m3

This number has only 3 significant figures, i.e., 8, 5, and 5. 

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अध्याय 1: Units and Measurements - Exercises [पृष्ठ १५]

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बालभारती Physics [English] Standard 11 Maharashtra State Board
अध्याय 1 Units and Measurements
Exercises | Q 3. xi) | पृष्ठ १५
एनसीईआरटी Physics [English] Class 11
अध्याय 1 Units and Measurements
Exercise | Q 1.11 | पृष्ठ ११

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