The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is $$ {18\sqrt{3}}$$ sq.cm. What is the area (in cm²) of the equilateral triangle ?

The diagonal of a square is 14 cm. What will be the length of the diagonal of the square whose area is double of the area of first square?

A conical vessel whose internal base radius is 18 cm and height 60 cm is full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with internal radius 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is:

The volume of a solid right circular cylinder is 5236 cm³, and its height is 34 cm. What is its curved surface area (in cm²)?

If the height and the radius of the base of a cone are both doubled, the volume of the cone becomes _______ of its previous volume.

The vertices of the 1 cm side are cut from each corner of a square with a side of 4.5 cm. Find the circumference and area of the octagon formed?

Find the area of a quadrilateral whose diagonal is 10 cm. And the length of the length put on it is 6 cm and 5 cm respectively. 

There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres) of the path?