The side length of a cube is 1.2 times 10^{-2 | vedclass

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(A) Given, the side length of the cube, $L = 1.2 	imes 10^{-2} \ m$.The volume of a cube is given by the formula $V = L^3$.$V = (1.2 	imes 10^{-2} \

Vedclass · Accepted Answer

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

Vedclass · Answer

(A) Given, the side length of the cube, $L = 1.2 	imes 10^{-2} \ m$.The volume of a cube is given by the formula $V = L^3$.$V = (1.2 	imes 10^{-2} \ m)^3 = (1.2)^3 	imes (10^{-2})^3 \ m^3$.$V = 1.728 	imes 10^{-6} \ m^3$.According to the rules of significant figures, the result of a multiplication should have the same number of significant figures as the measurement with the fewest significant figures.The given length $1.2 	imes 10^{-2} \ m$ has $2$ significant figures.Therefore, the volume should be rounded off to $2$ significant figures.Rounding $1.728$ to $2$ significant figures gives $1.7$.Thus, the volume is $1.7 	imes 10^{-6} \ m^3$.

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

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

Similar Questions

Find the area of a rectangle with dimensions $1.23 \ cm$ and $2.345 \ cm$ in $cm^2$.

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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