a rectangular block 6cm into 12 cm into 15 cm is cut into an exact number of equal cubes. minimum no of cubes is ?
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minimum no of cubes are 2
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Hi mate
Question
A rectangular block 6cm into 12 cm into 15 cm is cut into an exact number of equal cubes. minimum no of cubes is?
Solution:
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 =108027 = 40.
Therefore 40 is your answer
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