How many cubes of edge $3\, cm$ can be cut out of a wooden cube of edge $9\, cm$?

If the area of a triangle with base $x$ is equal to the area of a square with side $x,$ then the altitude of the triangle is

$ABCD$ is a cyclic quadrilateral. $AB$ and $DC$ when produced meet at $P$. If $PA = 8 \ cm$,$PB = 6 \ cm$,and $PC = 4 \ cm$,then the length (in $cm$) of $PD$ is:

$A$ can go round a circular path $8$ times in $40$ minutes. If the diameter of the circle is increased to $10$ times the original diameter,then the time required by $A$ to go round the new path once,travelling at the same speed as before,is (in $min$)

If all the sides of a triangle are increased by $200 \%$,then the area of the triangle will increase by (in $\%$):

The area of a rectangular field is $27000 \, m^2$. The ratio of its length and breadth is $6:5$. The length and breadth of the field are respectively: