A square and an equilateral triangle are of the same perimeter. If the diagonal of the square is $$ {12\sqrt{2}}$$ cm long, then the area of the triangle is.

A straight line parallel to the base QR of the ∆PQR intersect PQ and PR at the points S and T respectively. If the area of the ∆PQT be 36 cm² then area of the ∆PRS is:

The ratio between the volume (cm³) of a cylinder and the curved surface area (cm²) is numerically 14: 1. If the height of the cylinder is 50 cm, what is the volume of the cylinder (cm³) ?

The volume of a prism is 288cm³ and height is 24cm. The area of the base of the prism (cm²) is:

What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units?

The perimeter of a circle is equal to the square perimeter. What will be the ratio of their areas?

The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. Find the ratio of its diameter to its height.

Three solid metallic sphere whose radii are 3cm, x cm and 18cm respectively, are melted and recast into a single solid sphere of diameter 38cm. Then find the total surface area of the sphere with radius x cm?