A solid cube, whose diagonal is $$ 128 {\ sqrt {2}} \ cm $$, is molded to form a cuboid. The length and width of the cuboid are 512 cm and 160 cm, respectively. What is the height of the cuboid?

A field roller, in the shape of a cylinder, has a diameter of 1 meter and length of $$ {1}{1\over4}$$ meter. If the speed at which the roller rolls is 14 revolutions per minute, then the maximum area ( in m²) that it can roll in 1 hour is:

Area of a rectangle is equal to the area of a circle whose radius is 14 cm. If the breadth of the rectangle is 22 cm, what is its length?

The ratio of the areas of two circles is 16: 25. What will be the ratio of their circumferences?

A right circular cylinder is formed by rolling a rectangular sheet of metal of length 44 cm and breath 20 cm along its length. The volume of cylinder is_

The length of the diagonal of a square is 'a' cm. Which of the following represents the area of the square (in sq. cm)? 

In the given figure if each of the outer circles have radii ‘R’, then the radius of the inner circle will be:

In the given figure, PQRS is square whose side is 8 cm. PQS and QPR are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area ( in cm² ) of the circle ?