Practice Mensuration Questions and Answers

• The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is:
• The side of a square is equal to the diameter of a circle. The area of a square is 196 sq cm. what is the area of the circle? 
• The volume of water measured on a rectangular field 400m 200m is 8000 . Find the depth (amount) of rain that has fallen.
• If the base and height of a triangle are in the ratio of 2:5 and area is 125 cm2. Find its base and height.
• The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is:
• The total area of a circle and a square is 5450 cm2; the diameter of the circle is 70 cm, what is the difference between the circumference of the circle an...
• A rectangular plot has an area of 490 m². If the length of the rectangular plot is 24.5 m.  Find the perimeter of the rectangular plot. 
• The length of a rectangle is four times its breadth. If its length is increased by 20 cm. and breadth is increased by 30 cm, the area of the rectangle is i...
• A rectangular lawn 25m x 30m has two roads each 6 metres wide, running in the middle of it, one parallel to the length and the other parallel to the breadt...
• A rod is in the form of a circle of radius 35 cm. What is the side of a square into which it can be bent?
• 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 perimeter of a floor a room is 36m. What is the area of four walls of the room, if its height is 6m?
• 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? ...
• If a wheel covers a distance of 1760 m in 80 rotations, then the diameter of the wheel is?
• The ratio of the curved surface area and total surface area of a cylinder is 16 : 17 . If the curved surface area of the cylinder is 308m². Find the h...
• A village having a population of 8000 requires 200 litres of water per head per day. It has a tank measuring 40 m `xx` 30 m `xx` 12 m. The water of this ta...
• The length and breadth of a rectangular field are 51m and 30m respectively. A tank of length 8m, breadth 7m and depth 5m is dug out at the middle of the fi...
• 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 sum of the radius and height of a cylinder is 19m. The total surface area of the cylinder is 1,672 m². What is the volume of the cylinder?
• The surface area of water in a swimming pool forms a rectangle with length 30m and breadth 12m. The depth of water increases uniformly from 1.4m to 2.6m at...
• A rectangular plot has an area of 490 m². If the length of the rectangular plot is 24.5 m.  Find the perimeter of the rectangular plot. 
• The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is:
• A cone is cut parallel to its base in 3 parts in such a way that the height of each part is same. Find the ratio of volume of these parts?
• 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...
• A maximum size sphere is cut from a hemisphere of radius r. Find the ratio of volume of hemisphere to sphere?
• A cube of maximum possible volume is cut from a sphere of radius 5√3 cm. What is the ratio of the volume of a cube to that of the sphere?
• Find the number of silver balls of diameter 2 cm each, that can be made from a sphere of diameter 32 cm?
• If the altitude of an equilateral triangle is 9 cm, then find out its area?
• A cylindrical tank of 28 cm base radius is partly filled with water. How many bullets of 1cm radius of iron is added in it in order to increase the water l...
• The total area of a circle and a square is 6350 cm2, the diameter of the circle is 70cm, what is the difference between the circumference of the circle and...
• In a right angle triangle, the product of two sides is half of the square of the third side (i.e., hypotenuse). Accordingly find out the acute angle?
• A circle is inscribed in a square of side 28 cm. The area of the remaining portion of the square which is not enclosed by the circle is.
• One side of a parallelogram is 25 cm and its distance from the opposite side is 9 cm. The area of the parallelogram is: ...
• The volume of water measured on a rectangular field 400m 200m is 8000 . Find the depth (amount) of rain that has fallen.
• The perimeter of a rectangle is 300m. If the difference between the length and breadth of the rectangle is 10m, then what is the circumference of the large...
• A rectangle with a diagonal of length 28m is inscribed in a circle. Find the area of a circle?
• A wire is moulded into a circle of radius 21m. Then the wire is bent and shaped into a rectangle of length 36 m. Find the area of the rectangle thus formed...
• A village having a population of 5000 requires 250 litres of water per head per day. It has a tank measuring 50 m × 40 m × 25 m. The water of t...
• Find out the volume of a tetrahedron whose side is 6√2 cm³?
• The base of a triangular field is 400 metres and its height 250 metres. Find the area of the field and also calculate the charges for supplying water to th...