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?

Related Mcqs:

1. 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

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. 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

4. A big rectangular plot of area 4320 Sq.m is divided into 3 square shaped smaller plots by fencing parallel to the smaller side of the plot. However, some area of land was still left as a square plot could not be formed. So 3 more square shaped plots were formed by fencing parallel to the longer side of the original plot. Such that no area of the plot was left a surplus. What are the dimensions of the original plot?

   A. 160m × 27m
   B. 240m × 18m
   C. 120m × 36m
   D. 135m × 32m

5. 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?

   A. 21 cm
   B. 19 cm
   C. 32 cm
   D. 18 cm

6. The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?

   A. 81 : 121
   B. 9 : 11
   C. 729 : 1331
   D. 27 : 12

7. The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?

   A. 6:25
   B. 3:5
   C. 9:25
   D. 16:25

8. If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is?

   A. 3:1
   B. 8:1
   C. 9:1
   D. 12:1

9. There are two circles of different radii. The area of a square is 196 sq.cm, whose side is half the radius of the larger circle. The radius of the smaller circle is three-seventh that of the larger circle. What is the circumference of the smaller circle ?

   A. 12 π cm
   B. 16 π cm
   C. 24 π cm
   D. 32 π cm

10. 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