Each side of a cube is measured to be 7.203 ; | vedclass

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Question

(A) The number of significant figures in the measured length $l = 7.203 \; m$ is $4$.Surface area of a cube is given by $A = 6l^{2}$.$A = 6 	imes (7.

Vedclass · Accepted Answer

$311.3 \; m^{2}$ and $373.7 \; m^{3}$

Vedclass · Answer

(A) The number of significant figures in the measured length $l = 7.203 \; m$ is $4$.Surface area of a cube is given by $A = 6l^{2}$.$A = 6 	imes (7.203)^{2} = 6 	imes 51.883209 = 311.299254 \; m^{2}$.Rounding to $4$ significant figures,we get $A = 311.3 \; m^{2}$.Volume of a cube is given by $V = l^{3}$.$V = (7.203)^{3} = 373.714754 \; m^{3}$.Rounding to $4$ significant figures,we get $V = 373.7 \; m^{3}$.

Column-$I$	Column-$II$
$(1)$ $2.85 \times 10^{26} \ kg$	$(a)$ $1$
$(2)$ $0.009 \ m^2$	$(b)$ $2$
$(3)$ $0.060 \ s$	$(c)$ $3$

Each side of a cube is measured to be $7.203 \; m$. What are the total surface area and the volume of the cube to appropriate significant figures?

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Match the numbers in Column-$I$ with the number of significant figures in Column-$II$.

Column-$I$ Column-$II$

$(1)$ $2.85 \times 10^{26} \ kg$ $(a)$ $1$

$(2)$ $0.009 \ m^2$ $(b)$ $2$

$(3)$ $0.060 \ s$ $(c)$ $3$

Write and explain the rules for determining significant figures with examples.

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