3D Mensuration test 1

1. How many cubes, each of edge 3 cm, can be cut from a cube of edge 15 cm ?

2. The volume of cuboid is twice the volume of a cube. If the dimensions of the cuboid are 9 cm, 8 cm and 6 cm, the total surface area of the cube is:

3. A wooden box measures 20 cm by 12 cm by 10 cm . Thickness of wood is 1 cm. Volume of wood to make the box ( in cubic cm) is

4. A cuboidal block of 6 cm × 9 cm × 12 cm is cut up into exact number of equal cube. The least posible number of cubes will be

5. A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

6. The largest sphere is carved out of a cube of side 7 cm. The volume of the sphere (in cm3 ) will be

7. A rectangular sheet of metal is 40 cm by 15 cm . equal squares of side 4cm are cut off at the corners and the remainder is folded up to form an open rectangular box The volume of the box is

8. The length of the longest rod that can be placed in a room which is 12 m long, 9 m broad and 8 m high is

9. The floor of a room is of size 4 m × 3 m and its height is 3 m. The walls and celling of the room require painting. The area to be painted is

10. The area of the four walls of a room is 660 m2 and its length is twice of its breadth. If the height of the room is 11 m, then area of its floor (in m2 ) is

11. The volume of a cubical box is 3.375 cubic metres. The length of edge of the box is

12. Two cubes of sides 6 cm each are kept side by side to form a rectangular parallelopiped. The area (in sq. cm) of the whole surface of the rectangular parallelopiped is

13. 2 cm of rain has fallen on a square km of land. Assuming that 50% of the raindrops could have been collected and contained in a pool having a 100 m× 10 m base, by what level would the water level in the pool have increased ?

14. A parallelopiped whose sides are in ratio 2 : 4 :8 have the same volume as a cube. The ratio of their surface area is:

15. If the sum of the length, Breadth and height of a rectangular parallelopiped is 24 cm and the length of its diagonal is 15 cm, then its total surface area is

16. If the total surface area of a cube is 96 cm2 , its volume is

17. The volume of air in a room is 204 m3 . The height of the room is 6 m. What is the floor area of the room?

18. A square of side 3 cm is cut off from each corner of a rectangular sheet of length 24 cm and breadth 18 cm and the remaining sheet is folded to form an open rectangular box. The surface area of the box is

19 . Three solid iron cubes of edges 4 cm, 5 cm and 6 cm are melted together to make a new cube. 62 cm3 of the melted material is lost due to improper handing. The area (in cm2 ) of the whole surface of the newly formed cube is

20. Area of the floor of a cubical room is 48 sq. m. The length of the longest rod that can be kept in that room is