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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

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.

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Solution 1

Length of sheet, = 4.234 m

Breadth of sheet, = 1.005 m

Thickness of sheet, = 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 least significant figures i.e., 3.

Surface area of the sheet = 2 (l × × 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 m2

Volume of the sheet = × b × h

= 4.234 × 1.005 × 0.0201

= 0.0855 m3

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

Solution 2

As Area = (4.234 x 1.005) x 2 = 8.51034 = 8.5 m2

Volume = (4.234 x 1.005) x (2.01 x 10-2) = 8.55289 x 10-2 = 0.0855 m3.

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APPEARS IN

NCERT Class 11 Physics Textbook
Chapter 2 Units and Measurements
Q 11 | Page 36
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