Question:
The length, breadth and thickness of a block are given by $l=12\, cm , b=6 \,cm$ and $t=2.45 \,cm .$ The volume of the block according to the idea of significant figures should be
The length, breadth and thickness of a block are given by $l=12\, cm , b=6 \,cm$ and $t=2.45 \,cm .$ The volume of the block according to the idea of significant figures should be
Updated On: Jun 7, 2022
- $1 \times 10^{2} \,cm ^{3}$
- $2 \times 10^{2} \,cm ^{3}$
- $1.763 \times 10^{2} \,cm ^{3}$
- none of these
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The Correct Option is B
Solution and Explanation
Using the relation for volume
$V $ = length $ \times$ breadth $\times$ thickness
$ =12 \times 6 \times 2.45=176.4$
$ =1.764 \times 10^{2} \,cm ^{3}$
The minimum number of significant figures is $1$ in thickness,
hence the volume will contain only one significant figure.
Therefore, $V=2 \times 10^{2}\, cm ^{3}$
$V $ = length $ \times$ breadth $\times$ thickness
$ =12 \times 6 \times 2.45=176.4$
$ =1.764 \times 10^{2} \,cm ^{3}$
The minimum number of significant figures is $1$ in thickness,
hence the volume will contain only one significant figure.
Therefore, $V=2 \times 10^{2}\, cm ^{3}$
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