In a square shaped paper of side$14 \mathrm{cm}$, four semi-circles are drawn, as shown in the figure. The radius of the two smaller semi-circles, is half the radius of the two greater semi-circles. Find the area of the shaded part of the paper in $c{m}^2$. (Write answer without unit $\left[\mathrm{Take} \mathrm{\pi }=\frac{22}{7}\right]$

 A wire was bent into the form of a circle of radius $7 \mathrm{cm}$. The wire is straightened and bent into the form of a square. Find the area enclosed by the square in ${\mathrm{cm}}^2$.(Write answer without unit).

$\left[\mathrm{Take} \mathrm{\pi }=\frac{22}{7}\right]$

Find the volume of metal in an open metal box, cuboid, with external dimensions$50 \mathrm{cm}$ by $40 \mathrm{cm}$ by $32 \mathrm{cm}$, given that it is $2 \mathrm{cm}$ thick throughout in ${\mathrm{cm}}^3$. If volume is $k c{m}^3$, find the value of $k$.

[Hint: Internal dimensions will be $46 \mathrm{cm}$ by $36 \mathrm{cm}$ by$30 \mathrm{cm}$]