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

A rectangular block 6 cm by 12 cm 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes. Correct Answer 40

Volume of the block = (6×12×15) cu.cm = 1080 cu.cmside of the largest cube  = H.C.F of 6 cm, 12 cm, 15 cm  =  3 cm Volume of this cue  = (3×3×3)cu.cm  = 27 cu.cmNumber of cubes  = 108027 = 40 
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