If x = a - b, y = b - c, z = c - a, then the numerical value of the algebraic expression x³ +y³ + z³ -3xyz will be 

A cube has sides that are 4 cm each, and the dimensions of a cuboid are 2cm x 3cm x 4cm. Find the positive difference between the volume of the cube and that of the cuboid.

The radius of a cone is 20 cm and height is 21 cm, the total surface area of the cone is in square cm:

If 16 : X :: X: 196, find the positive value of x?

If $$ {x^{4}+x^{2}y^{2}+y^{4}={21\over256}}$$ and $$ {x^{2}+xy+y^{2}={3\over16}}$$ then $$ {2(x^{2}+y^{2})}=?$$

A wire is in the shape of a rectangle. Its length is 42.7m and breadth is 21.8m. If the same wire is re-bent in the shape of a square, what will be the measure of the side of the square?

$$ {\sqrt{5929}}+\sqrt{8464}=(?)^{2}$$

The price of milk is increased by 25%, by what percentage should a housewife reduce the use of milk in her house so that there is no increase in her monthly expenditure?