From a solid wooden right circular cylinder, a right circular cone whose radius and height are same as the radius and height of the cylinder, respectively is curved out. What is the ratio of the volume of the utilised wood to that of the wasted wood?

The perimeter and the breadth of a rectangle are $52 cm$ and $12 cm$ respectively. Find its area in $c{m}^2$.

By melting a solid cylinder of radius 3 cm and height 20 cm, five spherical balls each of same size are formed. Find the radius of each ball. 

(A) 2 cm

(B) 3 cm 

(C) 4 cm 

(D) 5 cm 

The three sides of a triangle are $15 cm, 36 cm, and 39 cm$ long. A small triangle is formed by joining the mid points of the three sides of this triangle. The area of small triangle will be_____ $c{m}^2$  

The length and breadth of a rectangular sheet are 48 m and 36 m respectively. A square is cut off from each of its corners, so that an open box be made. If the side of square be 16m, what will be the volume of the box so formed (in cubic m)? 

(A) 1,024 

(B) 1,224 

(C) 1,324 

(D) 1,124 

What is the area of this trapezoidal garden (All measurements are in cm)? 

1. $60$ sq.cm
2. $180$ sq.cm
3. $210$ sq.cm 
4. $240$ sq.cm