A cube has a side of length 1.2 times 10^{-2} | vedclass

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Question

(A) The side length of the cube is $l = 1.2 	imes 10^{-2} \; m$.The volume of a cube is given by $V = l^3$.Substituting the value: $V = (1.2 	imes 1

Vedclass · Accepted Answer

$1.7 	imes 10^{-6} \; m^3$

Vedclass · Answer

(A) The side length of the cube is $l = 1.2 	imes 10^{-2} \; m$.The volume of a cube is given by $V = l^3$.Substituting the value: $V = (1.2 	imes 10^{-2} \; m)^3 = (1.2)^3 	imes (10^{-2})^3 \; m^3 = 1.728 	imes 10^{-6} \; m^3$.According to the rules of significant figures,the side length $1.2$ has two significant figures. Therefore,the result should be rounded to two significant figures.Rounding $1.728$ to two significant figures gives $1.7$.Thus,the volume is $V = 1.7 	imes 10^{-6} \; m^3$.

List-$I$ (Number)	List-$II$ (Significant figures)
$A. 1001$	$I. 3$
$B. 010.1$	$II. 4$
$C. 100.100$	$III. 5$
$D. 0.0010010$	$IV. 6$

$A$ cube has a side of length $1.2 \times 10^{-2} \; m$. Calculate its volume.

Similar Questions

Match List-$I$ with List-$II$.

List-$I$ (Number) List-$II$ (Significant figures)

$A. 1001$ $I. 3$

$B. 010.1$ $II. 4$

$C. 100.100$ $III. 5$

$D. 0.0010010$ $IV. 6$

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