The perimeter of a square with diagonal 29√2 cm is equal to the perimeter of a rectangle. Find the area of the rectangle if the length of the rectangle is 8 cm more than the breadth of the rectangle?

√60+√10+√36=?

The acid and water in two vessels A and B are in the ratio 4:3 and 2:3. In what ratio should the liquid in both the vessels be mixed to obtain a new mixture in vessel C containing half acid and half water?

The radii of the ends of a frustum of a cone 7 cm high are 5 cm and 3 cm. Find its volume correct to one decimal place. (Use π=22/7)

If sin²θ - 3sinθ + 2=0, the find the value of θ(0⁰≤ θ≤90⁰)

Area of the floor of a cubical room is 64 m². The length of the longest rod that can be kept in the room is:

In the following diagram, three different products (in thousands) produced by a company in 5 years are given and after studying them carefully, answer the following questions.

Three products produced by a company in different years (in thousands)

What is the average number of pan-drives produced by the company in all the years?

If x = y = 333 and z = 334, then the value of x³ + y³ + z³ – 3xyz is