A. 6
B. 9
C. 24
D. 30
Volume of block = (6 X 9 X 12) cm3 = 648 cm3.
Side of largest cube = H.C.F. of 6 cm, 9 cm, 12 cm = 3 cm.
Volume of this cube = (3 X 3 X 3) = 27 cm3.
Number of cubes = 648/27 = 24.
Related Mcqs:
- 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 - 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 - How many cubes of edge 2 dm can be cut out of a meter cube?
A. 50
B. 64
C. 216
D. 125 - A cuboidal water tank contains 216 liters is water. Its depth is 1/3 of its length and breadth is ½ of 1/3 of the difference between length and depth. The length of the tank?
A. 2dm
B. 6dm
C. 18dm
D. 72dm - The perimeter of circle field and a square field are equal. If the area of these square field is 12100m2, the area of a circular field will be_________?
A. 15500Sq.m
B. 15400Sq.m
C. 15200Sq.m
D. 15300Sq.m - 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 - 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 - 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 - 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 - The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.
A. 4
B. 6
C. 3
D. 2
