## Surface Area And Volume

__Surface Area And Volume__**Section A**

__Test Paper -2 Questions Bank__**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 27**

*a*3 . 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**

*cm*3 . 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**

*cm*3 and its height is 8 cm. Find the radius?**16. The surface area of a sphere is 448 p**

*cm*2 . 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**

*cm*2 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.

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 36**

*πcm*³ . Find its radius.**30. A boy recasted a cone of 4cm height and 27cm radius into a solid sphere. Find the radius of 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. 112**

*cm*or 4 7*cm*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