The length of a rectangle is equal to the base of a right-angle triangle and the breadth of the rectangle is 24 cm. If the area of the rectangle is 720 cm square and the ratio of height to base of the right-angle triangle is 6 : 5, then find the area of the triangle (in sq. cm)?

The surface area of a cube is 480 $$cm^2$$​ Find its volume.

The parallel sides of a trapezium are 48 cm and 20 cm. Its non-parallel sides are 26 cm and 30 cm. What is the area (in cm²) of the trapezium?

Water flows out through a pipe, whose internal radius is 3 cm, at the rate of x cm per second into a cylindrical tank, the radius of whose base is 60 cm. If the level of water in the tank rises by 15 cm in 5 minutes, then the value of x is:

A circle is inscribed in a triangle with sides 28 cm, 45 cm and 53 cm. What is the area of the triangle excluding the area of the circle? (Use π = 3.14)

The curved surface area of a solid metallic right circular cylinder is 1792π cm² and its base radius is 32 cm. It is melted and recast into 42 solid spherical balls of equal radius. What is the surface area (in cm²) of a ball ?

A cubical tank with side 50 cm is full of water. If 61 litres of water is taken out of it, the level of water in the tank will drop by:

The cost of polishing the total surface area of a solid cone at ₹ 0.50 per cm² is ₹ 5632, and the circumference of its base is 176 cm. What is the height of the cone? (Use π = 22/7)