The height of an equilateral triangle is 18 cm. Its area is

• .
• 

• 108 square cm.

• 108 square cm.

If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm² then its volume is

• 1760 cm³

• 8800 cm³

• 2002 cm³

• 2002 cm³

53.

A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is 

• 
• 
• 
• 

The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 104 cm. The length of the longest side (in cm) is

• 52

• 48

• 32

• 32

The four walls and ceiling of a room of length 25 m, breadth 12 m and height 10 m are to be painted. Painter A can paint 200 m2 in 5 days, Painter B can paint 250 m2 in 2 days. If A and B work together, they will finish the job in

• 6 days

• 
• 
• 

The base of a right prism is a trapezium whose the length of parallel sides are 25 cm and 11 cm and the perpendicular distance between the parallel sides in 16 cm. If the height of the prism is 10 cm, then the volume of the prism is

• 1440 cu.cm

• 1540 cu.cm

• 2880 cu.cm

• 2880 cu.cm

The external and the internal radii of a hollow right circular cylinder of height 15 cm are 6.75 cm and 5.25 cm respectively. If it is melted to form a solid cylinder of height half of the original cylinder, then the radius of the solid cylinder is

• 6 cm

• 6.5 cm

• 7 cm

• 7 cm

The length and breadth of a rectangular piece of a land are in a ratio 5:3. The owner spent Rs. 6000 for surrounding it from all sides at Rs.7.50 per metre. The difference between its length and breadth is

• 50 metre

• 100 metre

• 150 metre

• 150 metre

The ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is (Take π=22/7)

• 14 : 11

• 28 : 11

• 7 : 22

• 7 : 22

A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle, a square and a circle. Then area will be longest in shape of

• Circle

• Equilateral triangle

• Square

• Square