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

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Question

(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

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

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

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

Similar Questions

Write the rules for rounding off numbers.

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

The correct answer is:

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

What are significant figures? What are significant digits? Explain with examples.

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