The volume of a cube having sides 1.2 ,m is a | vedclass

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(B) The side length of the cube is $l = 1.2 \,m$.Converting the side length to centimeters: $l = 1.2 	imes 10^2 \,cm = 120 \,cm$.The volume of the cu

Vedclass · Accepted Answer

$1.7$

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(B) The side length of the cube is $l = 1.2 \,m$.Converting the side length to centimeters: $l = 1.2 	imes 10^2 \,cm = 120 \,cm$.The volume of the cube is given by $V = l^3 = (120 \,cm)^3 = 1,728,000 \,cm^3$.This can be written as $V = 1.728 	imes 10^6 \,cm^3$.According to the rules of significant figures,the result of a calculation should have the same number of significant figures as the measurement with the least number of significant figures.The given side length $1.2 \,m$ has $2$ significant figures.Therefore,the volume should be rounded to $2$ significant figures.Rounding $1.728$ to $2$ significant figures gives $1.7$.Thus,the volume is $1.7 	imes 10^6 \,cm^3$.

$A$. $74.083$	$I$. $3$
$B$. $0.029$	$II$. $4$
$C$. $0.002407$	$III$. $2$
$D$. $2.74 \times 10^7$	$IV$. $5$

The volume of a cube having sides $1.2 \,m$ is appropriately expressed as ........... $\times 10^6 \,cm^3$.

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Match the measurements given in List-$I$ with the number of significant figures given in List-$II$.
$A$. $74.083$ $I$. $3$
$B$. $0.029$ $II$. $4$
$C$. $0.002407$ $III$. $2$
$D$. $2.74 \times 10^7$ $IV$. $5$

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