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A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be

6
9
24
30

Correct Answer: 24

Explanation:

Volume of block=(6 x 9 x 12) cu.cm = 648 cu.cm

Side of largest cube = H.C.F of 6,9,12 = 3cm

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

Number of cubes=(648/27)=24

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