The area of a sheet of length 10.2 ,cm and wi | vedclass

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Question

(C) Given:Length $(l)$ = $10.2 \,cm$ (has $3$ significant figures).Width $(w)$ = $6.8 \,cm$ (has $2$ significant figures).Area = $l 	imes w = 10.2

Vedclass · Accepted Answer

$69$

Vedclass · Answer

(C) Given:Length $(l)$ = $10.2 \,cm$ (has $3$ significant figures).Width $(w)$ = $6.8 \,cm$ (has $2$ significant figures).Area = $l 	imes w = 10.2 	imes 6.8 = 69.36 \,cm^2$.According to the rules of significant figures in multiplication,the final result should have the same number of significant figures as the measurement with the least number of significant figures.Here,the least number of significant figures is $2$ (from $6.8 \,cm$).Rounding $69.36$ to $2$ significant figures gives $69 \,cm^2$.

The area of a sheet of length $10.2 \,cm$ and width $6.8 \,cm$ expressed up to the proper number of significant figures is ......... $cm^2$.

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