Practice Mensuration Questions and Answers

• The area of a square is 2116 square metres. The breadth of a rectangle is half  of the side of the square and the length of the rectangle is thrice it...
• In what time would a Cistern be filled by three pipes whose diameter are 2cm, 8/3 cm and 4cm running together, where the largest pipe alone fill it in 183 ...
• The area of a rectangular field is 4374 m2 and its length to breath is in the ratio of 3:2. What is the perimeter of the field? 
• The cost of painting the walls of a room 8 meter long and 10 meter wide at Rs 22.5 square per meter is 7290. What is the height of the room?
• The ratio of the radii of two right circular cylinders (A and B) is 3 : 4.The ratio of the heights of cylinders A to B is 5 : 1. What is the ratio of the v...
• Two third part of cylinder is full of water. When we tilt the cylinder in such a way that the water becomes diagonal shape, in this process 87.5 litre of w...
• Three circle of diameter 14 cm each, are bound together by a rubber band, as shown in the figure. The length of the rubber band, in cm, if it is stretched ...
• The area of the largest circle, that can be drawn inside a rectangle with sides 100 cm by 91 cm, is:
• A rectangular lawn is 60 meters X 50 meters and has two roads, each 2 meters wide, in the middle of it, one parallel to its length and the other parallel t...
• A rectangular lawn 35m x 40m has two roads each 4metres wide, running in the middle of it, one parallel to the length and the other parallel to the breadth...
• The sum of the radius and height of a cylinder is 42m. The total surface area of the cylinder is 5544 m². What is the volume of the cylinder?
• The base of the triangular area is two times its height. If the cost of farming area is Rs. 2000 and Rs. 80 per hectare. Find its base  (1 hectare = 100...
• If the length of the rectangle is increased by 40%, by what percent should the width be reduced to maintain the same area?
• Find how many cubes of side 1 cm each can be made by melting a cuboid with dimensions 20cm × 40cm × 5cm? 
• Find how many cubes of side 10 cm each can be made by melting a cuboid with dimensions 90cm × 120cm × 150cm? 
• If the volumes of two cubes are in the ratio 343:64, then ratio of their edges is   
• A right circular cone & a right circular cylinder have equal base & equal height. If the radius of the base & the height are in the ratio 8:15,...
• Water flows into a tank which is 200m long and 120 m wide, through a pipe of cross- section 0.3 m × 0.2 m at 20 km/hr. then the time ( in hr) for the...
• The area of a regular hexagon with side as 6 cm is 
• If base of a pyramid is square of side 3 cm & height is 4 cm . What is the volume of pyramid?
• If base of a prism is square of side 5 cm & height is 30 cm . What is the volume of prism?
• If base of a prism is square of side 12 cm & height is 22 cm . What is the volume of prism?
• If base of a prism is square of side 9 cm & height is 32 cm . What is the volume of prism?
• The base of a solid right prism is a triangle whose sides are 7cm, 24cm and 25cm. the height of the prism is 5 cm then the total surface area of the prism ...
• The base of a solid right prism is a triangle whose sides are 20cm, 21cm and 29cm. the height of the prism is 6 cm then the total surface area of the prism...
• The area of a square field is 1250 sq m. How long in seconds will a lady take to cross the field diagonally at the rate of  5 km/hr? 
• The area of a square field is 800 sq m. How long in seconds will a lady take to cross the field diagonally at the rate of 4.8 km/hr? 
• The area of a square field is 4050 sq m. How long in seconds will a lady take to cross the field diagonally at the rate of 4.5 km/hr? 
• Calculate the area of the square whose perimeter is equal to the perimeter of a rectangle which has length 22 cm & breadth 14 cm .
• The perimeter of a rectangle is 320 meters, and the difference between length and breadth is 80 meters. Find the area of the rectangle.
• The perimeter of a rectangle is 230 meters, and the difference between length and breadth is 15 meters. Find the area of the rectangle.
• A rectangular park with length and breadth of 16m and 20m, is surrounded by a path of 6m wide. Find the area of the path.
• A rectangular park with length and breadth of 21 m and 26 m, is surrounded by a path of 5 m wide. Find the area of the path.
• The perimeter of the rectangle is 50 cm and the breadth is 4 times the length. Find the area of rectangle. 
• The cost of fencing a square plot @ Rs.30/m is Rs. 2520. What will be the cost of flooring the plot @ Rs. 3/ square m?
• How many bullets can be made out of a lead cylinder 32cm high and 12 cm radius, each bullet being 4 cm in diameter?
• How many spherical bullets can be made out of a lead cylinder 45 cm high and 27 cm radius, each bullet being 3 cm in diameter?
• A well with 30 metre inner diameter is dug 6 m deep. Earth taken out of it, has been evenly spread all around it to a width of 15 m to form an embankment. ...
• If each interior angle of a regular polygon is 135 degrees, then number of side of this polygon is
• What will be the measure of each interior angle of a regular polygon whose sides are 20.