Practice Mensuration Questions and Answers

• A right circular cylinder having total surface area of 2833.6 cm2 is immersed in a vessel completely filled with water. If the height of the cylinder is 30...
• The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are in ratio 5:3, respectively. If the area of the rectangl...
• The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are in ratio 9:7, respectively. If the area of the rectangl...
• The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are in ratio 10:11, respectively. If the area of the rectan...
• The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are in ratio 7:5, respectively. If the area of the rectangl...
• The lateral surface area of a cube is 144 cm . The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 5 cm less than it...
• The lateral surface area of a cube is 196 cm2 . The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 3 cm less than i...
• The lateral surface area of a cube is 324 cm2 . The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 9 cm less than i...
• The lateral surface area of a cube is 144 cm2 . The length of a cuboid is 25% more than the side of the cube. The breadth of the cuboid is 5 cm less than i...
• The lateral surface area of a cube is 400 cm2 . The length of a cuboid is 15% more than the side of the cube. The breadth of the cuboid is 6 cm less than i...
• The lateral surface area of a cube is 484 cm2 . The length of a cuboid is 10% more than the side of the cube. The breadth of the cuboid is 9 cm less than i...
• The lateral surface area of a cube is 1024 cm2 . The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 15 cm less than...
• The lateral surface area of a cube is 256 cm2 . The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 5 cm less than i...
• The lateral surface area of a cube is 400 cm2. The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 12 cm less than i...
• If the perimeter of rectangle is 48 cm and its length is 4 cm more than breadth then find its area?
• If the perimeter of rectangle is 56 cm and its length is 2 cm more than breadth then find its area?
• If the perimeter of rectangle is 54 cm and its length is 3 cm more than breadth then find its area?
• If the two adjacent sides of a rectangle are x cm and x – 10 cm and its perimeter is 72 cm then find its area? 
• If the two adjacent sides of a rectangle are x cm and x – 10 cm and its perimeter is 76 cm then find its area? 
• If the two adjacent sides of a rectangle are x cm and x – 10 cm and its perimeter is 96 cm then find its area? 
• 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...