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

• A. $1 \times 10^{2} \,cm ^{3}$
• B. $2 \times 10^{2} \,cm ^{3}$
• C. $1.763 \times 10^{2} \,cm ^{3}$
• D. none of these

Answer 1

Answer: (B)

$2 \times 10^{2} \,cm ^{3}$

Answer 2

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, $V=2 \times 10^{2}\, cm ^{3}$