A closed wooden rectangular box made of 1 cm thick wood has the following outer dimensions : length 22 cm, breadth 17 cm, and height 12cm. It is filled to capacity with cement. What is the volume of the cement in the box?
Considering two opposite vertices of a square of side ‘a’ as centres, two circular arcs are drawn within the square joining the other two vertices, thus forming two sectors. What is the common area in these two sectors?
In a college, the ratio of boys to girls is 29 : 33 respectively. When 142 more boys join the college, this ratio becomes 21 :19. How many more girls should join the college to make the number of boys and girls equal?