The perimeter of an equilateral triangle is $72 \sqrt{3} \text{ cm}$. Find its height in meters.

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 difference between two parallel sides of a trapezium is $4\, cm$. The perpendicular distance between them is $19\, cm$. If the area of the trapezium is $475\, cm^2$,find the length of the parallel sides.

What is the area of a given right-angled triangle?
$I.$ The length of the hypotenuse is $5\, cm$.
$II.$ The perimeter of the triangle is four times that of its base.
$III.$ One of the angles of the triangle is $60^{\circ}$.

An open box is made of wood $2\, cm$ thick. Its internal length is $86\, cm,$ breadth $46\, cm$ and height is $38\, cm.$ The cost of painting the outer surface of the box at $Rs.$ $10$ per $m^2$ is? (in $Rs.$)

$A$ rectangular park is $65\, m$ long and $50\, m$ wide. Two cross paths,each $2\, m$ wide,are to be constructed parallel to the sides. If these paths pass through the centre of the rectangle and the cost of construction is ₹ $17.25$ per $m^2$,then find the total cost involved in the construction (in ₹).