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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. 20

B. 30

C. 40

D. 50

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Correct Answer : C.


      Volume of the block = (6 x 12 x 15) cm3 = 1080 cm3.


       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) cm3 = 27 cm3.


       Number of cubes = 1080/27 = 40.

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