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^{2}$
• D. none of these

Answer 1

Answer: (B)

Using the relation for volume
$V =$ length $\times$ breadth $\times$ thickness
$=12 \times 6 \times 245$
$=176.4\, cm ^{3}$
$=1.764 \times 10^{2} cm ^{3}$
The minimum number of significant figures is 1 in breadth.
Hence, the volume will contain only one significant figure.
Therefore, $V=2 \times 10^{2} cm ^{3} .$