Base of the right prism is an equilateral triangle. If its height reduced to one-fourth and each side of the base is tripled, then the ratio of the volumes of the old prism to the new prism 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 

The sides of a rectangular plot are in the ratio 5: 4 and its area is equal to 500 sq.m. The perimeter of the plot is: 

Balls of marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm?

The perimeter of the five squares is 24 cm, 32 cm, 40 cm, 76 cm, and 80 cm, respectively. What will be the perimeter of a square whose area is equal to the sum of the area of these squares?

The largest and the second largest angle of a triangle are in the ratio of 13:12 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles?

If the sum of three dimensions and the total surface area of a rectangular box are 12 cm and 94 $$\ cm^2 $$ respectively, then the maximum length of a stick that can be placed inside the box is

The radius of the incircle of a triangle is 2 cm. If the area of the triangle is 6 cm2. Then its perimeter is -