The total surface area of a rectangular block is $8788 \text{ cm}^2$. If the length,breadth,and height are in the ratio $4:3:2$,find the length (in $\text{cm}$).

The area of the largest circle that can be drawn inside a rectangle with sides $18 \, cm$ and $14 \, cm$ is (in $cm^2$):

If the area of a square increases by $69 \%$,then the side of the square increases by (in $\%$)

Each edge of a cube is increased by $50 \%$. Then,the percentage increase in its surface area is (in $\%$)?

The base of a triangular field is three times its altitude. If the cost of cultivating the field at $50$ per hectare is $Rs. 675$,then what are its base and height?

$A$ sphere of $30 \ cm$ radius is dropped into a cylindrical vessel of $80 \ cm$ diameter,which is partly filled with water. If its level rises by $x \ cm$,find $x$ (in $cm$). (in $.5$)