Practice Mensuration Questions and Answers

• The sum of the radius and height of a cylinder is 34m. The total surface area of the cylinder is 5984 m². What is the volume (in m³) of the cylin...
• The cost of levelling a square field @ Rs.32 per sq. metre is Rs.2,88,800. Field is to be fenced and also 2 metres broad pathway is to be constructed aroun...
• Rajnish bought a rectangular canvas of size 44cm x 23cm and rolled it in such a way that it formed a cylindar with height as 23cm. What is the difference b...
• A rectangular plot of size 40 m (length)  20 m (width) is to be grazed by a horse leaving a margin of 5 m from all sides for growing plants and also its...
• A well with 20 m inside diameter is dug 10 m deep. Soil taken out of it has been evenly spread all around it to a width of 30 m to form an embankment. Find...
• The volume of water measured on a rectangular field 400m `xx` 200m is 8000 . Find the depth (amount) of rain that has fallen.
• A cube has edge 13 m. Find its length of diagonal, surface area and volume. 
• 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...
• 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...
• John has finished  planting 1/4 th  of the area of rectangular garden which is 12ft wide. When he finishes planting another 90 sq. ft of the...
• One side of a parallelogram is 25 cm and its distance from the opposite side is 9 cm. The area of the parallelogram is:
• A square is converted into a rectangle by increasing its length by 50 % and decreasing its width by 20%. Which of the following statements is true?
• The side of a square is 16cm. A square is formed by joining the mid points of the sides of the square and in the same process, indefinite number of squares...
• Outer diameter of 20 cm long pipe is 25 cm. If the thickness of the metal in the pipe is 1 cm. Find the total surface area of the pipe?
• A borewell of 28m base radius is digged upto a depth of 21m and 14m wide platform was made around the well. Find the height of platform?
• The weight of a cubic metre metal is 1215 kg. It is melted and cast into a square rod of 9m length. A solid cube of maximum size is taken out from one end....
• Find the minimum length of a rubber band which can tie three circular pipe of radius 21 cm?
• A Bullet is cylindrical up to a height of 40 cm and conical above it. If its diameter is 35 cm and the slant height of the Conical part is 22cm, then the c...
• The length of a rectangle is four times its breadth. If its length is increased by 10 cm. and breadth is increased by 10 cm, the area of the rectangle is i...
• 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?