Question

A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.

A) 30 B) 40 C) 10 D) 20

Answer 1

Step-by-step explanation:

Volume of the block = (6 x 12 x 15) cu.cm = 1080 cu.cm 

Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm 

                                   = 3 cm.

 

Volume of this cube  = (3 x 3 x 3) cu.cm = 27 cu.cm 

Number of cubes = 1080/27 = 40.

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