Cuboid Cube Cylinder Cone Sphere( surface area and volume) for class 9

Questions Bank Related to 

Surface Area of a Cuboid and a Cube
Surface Area of a Right Circular Cylinder
Surface Area of a Right Circular Cone
Surface Area of a Sphere
Volume of a Cuboid Volume of a Cylinder
Volume of a Right Circular Cone Volume of a Sphere

1. An underground water tank is in the shape of cube of side 7 m. What will be its volume?
2. What will be volume of a box whose length 16 m, breadth 8 m and height is 5 m?
3. The length, breadth and height of a room are 12 m, 10 m, and 9m respectively. Find the area of our walls of room?
4. The volume of a cube is 27a3 . Find the length of its edge?
5. How much Aluminium sheet will be required to make a container with lid whose length is 13 m, breadth is 8 m and height is 4 m?
6. The volume of a cube is 1331 cm3 . Find the length of its edge?
7. The length of diagonal of a cube is 17.32 cm. Find the volume of that cube?
8. Three cubes whose sides are 6 cm, 8 cm and 10 cm. They are melted and form a cube. Find the volume of that cube?
9. Two cubes have edge 10 m. Their edges have been joined and form a cuboid. What will be the surface area of cuboid thus formed?
10. The total volume of a cube is 512 cubic cm. Find the side of a cube?
11. A rectangular box 14 cm long, 10 cm wide and 5 cm high is to be made with card-board. Find the area of card-board to make that box?
12. What will be the volume of a cylindrical tank whose radius is 7 cm and height is 5 cm?
13. How many solid spheres of 2/3 cm radius can be made from a solid sphere of 2 cm radius?
14. If the volume and surface area of a sphere is numerically same then what will be its radius?
15. The volume of a right circular cylinder is 392 π cm3 and its height is 8 cm. Find the radius?
16. The surface area of a sphere is 448 p cm2 . Find its radius?
17. What will be the edge of a cube? If its surface area is 324 sq cm .
18. The volume of a hemisphere is 144 π cm³. What will be its radius?
19. The curved surface area of a cone is 140 π cm². What will be the radius of cone whose slant height is 5 cm.
20. The radius of a solid sphere is 12 cm. How many sphere can be made from it of 6cm radius?
21. The volume of a cuboid is 840 cm³. If its length is 14 cm and breadth is 5 cm. Find the height of cuboid?
22. Four equal cubes have side 5 cm each. They are joined together edge to edge. What will be the surface area of cuboid thus formed?
23. The area of a rhombus is 56 cm2 and its diagonal is 7 cm. Find the length of other diagonal of the rhombus?
24. Find the maximum length of the rod that can be kept in cyboidal box of sides 30cm, 24cm and 18cm.
25. The curved surface area of a cylinder is 216 π . If its height is 18 cm then what will be its radius?
26. 60 circular plates of equal radius are placed on each other to form a cylinder. Find height of cylinder if thickness of each plate if 3/4 cm.
27. Curved surface area of a cone is thrice and curved surface area of the other. Slant height of
second cone is thrice the slant height of first. Find ratio of their radii.
28. A well of 2m diameter is dug 14m deep on the ground. Find the volume of earth taken out.
29. Volume of a solid sphere is 36πcm³ . Find its radius.
30. A boy recasted a cone of 4cm height and 27cm radius into a solid sphere. Find the radiusof the sphere.
Surface Area And Volume (Chapter-11) Answers
1. 343m³ 2. 640m³ 3. 396m² 4. 3a 5. 376m² 6. 11cm 7. 1000cm³ 8. 1728cm³ 9. 1000m² 10. 8cm 11. 520cm² 12. 770cm²1 3. 2714. 3 units 15. 7cm 16. 112cm or 4 7cm 17. 9cm 18. 6cm1 9. 28cm 20. 8
21. 12cm 22. 450cm² 23. 16cm 24. √1800cm or 30 √2cm
25. 6cm 26. 45cm 27. 9:1 28. 44m³ 29. 3cm 30. 9cm