3D Mensuration test 2

1. Three cubes of sides 6 cm, 8 cm and 1 cm are melted to form a new cube. The surface area of the new cube is

2. Some bricks are arranged in an area measuring 20 c.m. If the length, breadth and height of each brick is 25 cm, 12.5 cm and 8 cm respectively, then the number of bricks are (suppose there is no gap in between two bricks)

3. The whole surface of a cube is 150 sq. cm. Then the volume of the cube is

4. The ratio of the length and breadth of a rectangular parallelopiped is 5 : 3 and its height is 6 cm. If the total surface area of the parallelopiped be 558 sq. cm, then its length in dm is

5. If the sum of the dimensions of a rectangular parallelopiped is 24 cm and the length of the diagonal is 15 cm, then the total surface area of it is

6. The length, breadth and height of a cuboid are in the ratio 3 : 4 : 6 and its volume is 576 cm3 . The whole surface area of the cuboid is

7. A low land, 48 m long and 31.5m broad is raised to 6.5 dm. For this, earth is removed from a cuboidal hole, 27 m long and 18.2 m broad, dug by the side of the land. The depth of the hole will be.

8. A cuboidal shaped water tank, 2.1 m long and 1.5 m broad is half filled with water. If 630 litres more water is poured into tank, the water level will rise

9. A solid cuboid of dimensions 8 cm × 4 cm × 2 cm is melted and cast into identical cubes of edge 2 cm. Number of such identical cubes is.

10. If the radius of a sphere is increased by 2 cm, its surface area increased by 352 cm2 . The radius of sphere before change is :

11. The height of a conical tank is 60 cm and the diameter of its base is 64cm. The cost of painting it from outside at the rate of Rs. 35 per sq. m. is :

12. A solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?

13. The volume of a right circular cylinder whose height is 40cm, and circumference of its base is 66 cm is:

14. The volume of a right circular cylinder is equal to the volume of that right circular cone whose height is 108 cm and diameter of base is 30 cm. If the height of the cylinder is 9 cm, the diameter of its base is

15. Three solid metallic spheres of diameter 6 cm, 8 cm and 10 cm are melted and recast into a new soild sphere. The diameter of the new sphere is :

16. Three solid spheres of a metal whose radii are 1 cm, 6 cm and 8 cm are melted to form an other solid sphere. The radius of this new sphere is (a) 10.5 cm (d) 9.5 cm (c) 10 cm (d) 9 cm53. Three solid spheres of a metal whose radii are 1 cm, 6 cm and 8 cm are melted to form an other solid sphere. The radius of this new sphere is

17. The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km2 . then find the height of conical mountain

18. A solid metallic spherical ball of diameter 6 cm is melted and re casted into a cone with diameter of the base as 12 cm. The height of the cone is

19. The volume of a right circular cone is 1232 cm3 and its vertical height is 24 cm . Its curved surface area is

20. The surface area of a sphere is 64 cm2 Its diameter is equal to