Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?

Related Mcqs:

1. The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?

   A. 3 dm
   B. 4 dm
   C. 5 dm
   D. 6 dm

2. The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?

   A. 8 cm
   B. 12 cm
   C. 14 cm
   D. 10 cm

3. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

   A. 2 : 1
   B. 3 : 2
   C. 25 : 18
   D. 27 : 20

4. A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?

   A. 10
   B. 100
   C. 1000
   D. 10000

5. How many cubes of edge 2 dm can be cut out of a meter cube?

   A. 50
   B. 64
   C. 216
   D. 125

6. A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is__________?

   A. 284 cm²
   B. 286 cm²
   C. 296 cm²
   D. 300 cm²

7. A cuboidal, block of 6 cm X 9 cm X 12 cm is cut up into an exact number of equal cubes. The least possible number of cubes will be_________?

   A. 6
   B. 9
   C. 24
   D. 30

8. If the volumes of two cubes are in the ratio 8: 1, the ratio of their edges is_________?

   A. 8: 1
   B. 2√2 : 1
   C. 2 : 1
   D. None of these

9. The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?

   A. 2.66 cm
   B. 2.5 cm
   C. 3 cm
   D. 3.5 cm

10. The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is________?

    A. 4:3
    B. 4:2
    C. 4:4
    D. 6: π