Practice Mensuration Questions and Answers

• If the two adjacent sides of a rectangle are x cm and x – 10 cm and its perimeter is 124 cm then find its area? 
• If the volume and radius of a cylinder is 19250 cm3 and 35 cm respectively then find the height of the cylinder?
• If the volume and radius of a cylinder is 24640 cm3 and 28 cm respectively then find the height of the cylinder?
• If the volume and radius of a cylinder is 4620 cm3 and 14 cm respectively then find the height of the cylinder?
• If the volume of a cylinder is 144π and the ratio of radius to its height is 3:2 then find the curved surface area of cylinder?
• If the volume of a cylinder is 180π and the ratio of radius to its height is 6:5 then find the curved surface area of cylinder?
• If the volume of a cylinder is 196π and the ratio of radius to its height is 7:4 then find the curved surface area of cylinder?
• The side of a square is equal to the perimeter of an equilateral triangle of area 36√3 cm2 . Find the area of the square? 
• The side of a square is equal to the perimeter of an equilateral triangle of area 196√3 cm2 . Find the area of the square? 
• If the radius of a cylinder is 12 cm and its curved surface area is 792 cm2 then find the height of the cylinder?
• If the radius of a cylinder is 17 cm and its curved surface area is 1309 cm2 then find the height of the cylinder?
• If the radius of a cylinder is 20 cm and its curved surface area is 660 cm2 then find the height of the cylinder?
• A cylinder of radius 7 cm is surmounted completely by a cone of same radius. Height of cylinder is 6 cm. Find the height of cone if volume of entire shape ...
• The area of the base of a right circular cone is 81π cm² and its height is 12 cm. What is the curved surface area (in cm2) of the cone?  ...
• The areas of three adjacent faces of a cuboidal tank are 3 m², 12 m² and 16 m². The capacity of the tank. in litres, is:
• The curved surface area of a right cylinder is 3696 cm³. Its height is three times its radius. What is the capacity (in litres) of the cylinder? (Take...
• The sum of the radii of spheres A and B is 14 cm. the radius of A being larger than that of B. The difference between their surface areas is 112π. What ...
• The base of a right prism is a regular hexagon of side 5 cm. If its height is 12 √3 cm, then its volume (in cm²) is:  
• The radii of two right circular cylinders are in the ratio 3 : 2 and the ratio of their volumes is 27:16. What is the ratio of their heights?
• The radius and height of a right circular cone are in the ratio 3: 4. If its curved surface area (in cm²) is 240 π,  then its volume (in cm&su...
• A gardener uses cylindrical roller of diameter 7 cm and length 28 cm to flatten a rectangular field of dimension 280cm × 165 cm. Find the number of r...
• The difference between the area of a circle and the area of the rectangle is 290.16 cm2. If the length of rectangle is 25% more and breadth is 10% less tha...
• Perimeter of square is 48 cm and length of a rectangle is equal to side of square and breadth of rectangle is 4 cm less than length of the rectangle. Find ...
• A hollow cylindrical tube 20 cm long is made of iron and its external and internal diameters are 8 cm and 6 cm respectively. The volume (in cubic cm) of ir...
• If the areas of three adjacent faces of a rectangular box which meet in a corner are 12cm2, 15cm2 and 20cm2 respectively. Then the volume of the box is ...
• The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour com...
• If the radius of a right circular cylinder open at both the ends, is decreased by 25% and the height of the cylinder is increased by 25%. Then the curved s...
• A cylindrical pencil of diameter 1.2 cm has one of its end sharpened into a conical shape of height 1.4 cm. The volume of the material removed is
• A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If t...
• Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square is 1...
• The amount of concrete required to build a concrete cylindrical pillar whose base has a perimeter 8.8 metre and curved surface area 17.6 sq. metre, is (Tak...
• A hemispherical bowl of internal radius 9 cm, contains a liquid. This liquid is to be filled into small cylindrical bottles of diameter 3 cm and height 4 c...
• A rectangular water tank is 80 m x × 40 m. Water flows into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will rise...
• A solid cylinder has the total surface area 231 sq.cm. If its curved surface area is of the total surface area, then the volume of the cylinder is
• The lateral surface area of frustum of a right circular cone, if the area of its base is and the diameter of circular upper surface is 4 cm and slant heigh...
• The diameter of a sphere is twice the diameter of another sphere, The surface area of the first sphere is equal to the volume of the second sphere, The mag...
• A right circular cylinder having diameter 21 cm & height 38 cm is full of ice cream. The ice cream is to be filled in cones of height 12 cm and diameter 7 ...
• A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is
• From the top of a cliff 100 meter high, the angles of depression of the top and bottom of a tower are 45° and 60° respectively. The height of the tower i...
• Lateral surface area of a cube is 420 cm2   less than the lateral surface area of a cylinder. Height of cylinder is 2R cm and radius is R cm. If the s...