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 wall is the form of a trapezium with height 8 m and parallel sides being 5 m and 10 m. What is the cost of painting the wall, if the rate of painting is Rs. 50 per square meter  ?

A right pyramid stands on a rectangular base whose sides are 24 cm and 18 cm and on the shorter side, the slant height is 17 cm. Find the volume of the pyramid.

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:

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

If the length of the diagonal of a square is $${ 10\sqrt{2}}$$ cm, then what will be the area of the square?

The area of square field is $$ ({69696})^{2}$$. Its diagonal will be equal to (use √2 = 1.414) 

The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height?