Practice Mensuration Questions and Answers

• If the altitude of an equilateral triangle is 9 cm then find out its area?
• In a right angles trainagle, one acute angle is double the other. If the length of its hypotenuse is 20 cm, the find its area?
• A Solid Cone of height 18cm diameter of its base 36cm is cut from a wooden Solid sphere of radius 18cm. the percentage of wood wasted is ?
• The difference between each Internal angle and each external angle of a polygon is 60°. Find the number of Sides.
• A cylindrical tank of 28 cm base radius is partly filled with water. How many spherical iron balls of 1cm radius are added in it in order to increase the w...
• Find the length of a wire radius 0.40 cm which can completely cover the surface of a cylinder whose height is 1.6m and base radius 21 cm?
• A solid cylinder has total surface area of 1848 sq.cm. Curved surface area is 1/3rd of its total surface area. The volume of the cylinder is:
• ABCD is a cyclic quadrilateral, such that ratio of measures ∠A, ∠B and ∠C is 1 : 4 : 5, then the measure of ∠D is.
• Point (4, 5) is the centre of a circle. A point (9, 11) is lying on a circle. Find the area of the circle.
• A wire is moulded into a circle of radius 21 m. Then the wire is bent and shaped into a rectangle of length 36 m. Find the area of the rectangle thus forme...
• If the perimeter of a square is 88 cm and the circumference of a circle 88cm, then which figure has larger area and by how much? 
• The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between their interior angle is 2 : 3. Then the number of sides of the...
• The length, breadth and height of a room are 8m, 10m and 12m respectively. Find the cost of white washing the room at the rate of Rs 15 per m²?
• The circumference of two circles are 132 cm and 88 cm respectively. What is the difference between the area of the larger circle and the smaller circle?
• A box has 80 Red, 40Blue and 40 Black Balls. 25% of Red Balls and 50% of Blue Balls are taken away, percentage of Black balls at present is
• Few people dive in a swimming pool of dimensions 25 × 15m. Due to this the water level rises by 4m. If one person displace 2 cubic metre of water. Find th...
• Find the area of the largest circle that can be drawn in a square of side 28 cm.    
• 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.
• If the length of the rectangular pipe is 2 times of its breadth and 5 times of its height. Find the total surface area if its volume is 600 cm³?
• 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...