Practice Mensuration Questions and Answers

• A room 20 m long, 16 m broad and 8m high has 2 windows of 1 m and `1(1)/(2)` m and a door of 2m `xx`   `1(1)/(2)` m. Find the cost of papering ...
• The height of a triangle is equal to the perimeter of a square whose diagonal is 6√2 m and the base of the same triangle is equal to the side of a sq...
• The shape of an toy is a right circular cylinder with a hemisphere on bottom and a right circular cone on the top. The radius of the cylindrical part is 8 ...
• Find the length of the side of a regular octagon which is formed by cutting the corner of square of side 30 cm?
• A paper is in the form of rectangular piece PQRS in which PQ = 40 cm and QR = 28 cm. A semi-circular portion with QR as diameter is cut off. Find the area ...
• The area of a rectangular field is 2880 m² and its length to breadth in the ratio of 5 : 1. What is the perimeter of the field.
• The number of females working in the Production department forms approximately what per cent of the total number of females in the organization?
• 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...
• The ratio of the length to the breadth of a rectangular park is 3:2. If a man cycling along the boundary of the park at the speed of 18 km/hr completes one...
• A circular wire enclosing the area of 9,856 cm² is bent to form a square. How much area will be enclosed by that wire?
• A square is converted into a rectangle by increasing its length by 30 % and decreasing its width by 10%. Which of the following statements is true?
• A closed wooden box of uniform thickness has length, breadth and height 20cms, 16cms and 12 cms respectively. If the thickness of the wooden block is 2 cms...
• Two sides of the triangle are 14.8 cm and 10 cm. If height of the triangle corresponding to 14.8 cm side is 8 cm find   the area? ...
• Find the area of a triangle whose base is 35 cm and altitude is 40 cms.
• A well with 42 m inside diameter is dug 14 m deep. Soil taken out of it has been evenly spread all around it to a width of 21 m to form an embankment. Find...
• A horse is tethered to a peg with a 28 metre long repeat the corner of a 45 metre long and 25 metre wide rectangular grassfield. What area of field does th...
• The length of a rectangular floor is four times its breadth. If Rs. 2160 is required to paint the floor at the rate of Rs. 15 per square metre, what is the...
• The perimeter of a floor a room is 36m. What is the area of four walls of the room, if its height is 6m?
• Find out the volume of a tetrahedron whose side is 6√2 cm³ ?
• A rectangular reservoir of 2800 m3 capacity has length and height equal to 10 m and 40 m respectively. if 420 m3 of water is taken out of the reservoir, fi...
• 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?