In a size transformation, the area of the image of an object of area $6 {\mathrm{m}}^2$ is $37.5 {\mathrm{cm}}^2$. Calculate the scale factor.

In a size transformation, the area of the image of an object of area $6{\mathrm{m}}^2$ is $37.5 {\mathrm{cm}}^2$. Calculate the volume of an object, if the volume of its image is ${\text{360 cm}}^3$.

In the given figure, $AX$ bisects $\angle BAC$ and $PQ$ is perpendicular bisector of $AC$, which meets $AX$ at point $Y$.

The following statements are:

$\mathrm{I}$. $X$ is equidistant from $AB$ and $AC$.

$\mathrm{II}$. $Y$ is equidistant from $A$ and $C$.

We construct a $△ABC$, in which $\angle ABC=75°, AB=5 \mathrm{cm}$ and $BC=6.4 \mathrm{cm}$. Draw perpendicular bisector of side $BC$ and also bisector of $\angle ACB$. If these bisectors intersect each other at point $P$. Which of the following statements is/are true?

$\mathrm{I}$. $P$ is equidistant from $B$ and $C$.

$\mathrm{II}$. $P$ is equidistant from $AC$ and $BC$.