Units and Measurement
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Question : 11
Total: 33
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.
Solution:
Given, length, ( l ) = 4.234 m ,
breadth( b ) = 1.005 m
thickness,d = 2.01 c m
= 2.01 × 10 − 2 m
Area of sheet = 2 ( l b + b d + d l )
= 2 ( 4.234 × 1.005 + 1.005 × 0.0201 + 0.0201 × 4.234 ) = 2 ( 4.3604739 )
= 8.7209478 m 2
As the least number of significant figure in thickness is 3. Therefore, area has 3 significant figure, Area= 8.72 m 2
volume of metal sheet= l × b t × d
= 4.234 × 1.005 × 0.0201 m 3
= 0.085528917 m 3
After rounding off= 0.0855 m 3
breadth
thickness,
As the least number of significant figure in thickness is 3. Therefore, area has 3 significant figure, Area
volume of metal sheet
After rounding off
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