If D and E are the mid-points of the side AB and AC respectively of the ∆ABC in the figure given here, the shaded region of the triangle is what percent of the whole triangular region?

The ratio of the outer and the inner perimeter of a circular path is 23 : 22, If the path is 5 meters wide the diameter of the inner circle is : 

A circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in the ratio of 6 : 5 . The smaller side of the rectangle is
 ( Take $$ π = 22\over 7$$ ) : 

Find the inner surface area of all walls of a rectangular room with length 7 m breadth 5 m and height 3.5 m -  

From each of the four corners of a rectangular sheet of dimensions 30 cm × 25 cm, a square of side 2 cm is cut off and a box is made. The volume of the box is

The length of the diagonal and the breadth of a rectangle is 13 cm and 5 cm respectively. Calculate its area (in cm²).

A solid copper sphere of radius 1.2 cm is converted into a right circular cylinder rod of length 16 cm. The ratio of total surface area of the rod to the sphere is

One of the four angles of a rhombus is 60°. If the length of each side of the rhombus is 8 cm, then the length of the longer diagonal is