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. 10 B. 20 C. 30 D. 40 Answer Workspace Report Discuss Answer with explanation Answer: Option D 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. Workspace
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