An open box is to be cut of piece of square card board of side 18 cm
by cutting of equal squares from the corners and turning up the sides.
Find the maximum volume of the box.

A box is to be made from a sheet 12times12 sq.cm, by cutting equal squares from the four corners and turning up its sides. Find the length of the side of the square to be cut out, in order to obtain a box of the largest possible volume? a)6 b)4 c)3 d)2

Find the perimeter of a square of side 10 cm. Justify your steps.

Find diagonal of square with side 8 cm.

Find the area of a square having side 12 cm.

On the portion of the straight Line from line x + y = 2 which is intercepted between the axes, a square is constructed away from the origin with this portion as on of its side. If p denotes the perpendicular distance of a side of this square from the origin, then the maximum value of p is