Multiple Choice Questions on A rectangular block 6 cm by 12 cm by 15 cm is cut up in to an exact number of equal cubes Find the l........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

A rectangular block 6 cm by 12 cm by 15 cm is cut up in to an exact number of equal cubes Find the l...........

Quantitative Aptitude ( CCS) Mensuration 3D
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    A rectangular block 6 cm by 12 cm by 15 cm is cut up in to an exact number of equal cubes. Find the least possible number of cubes.

    10

    Incorrect Answer

    20

    Incorrect Answer

    30

    Incorrect Answer

    40

    Correct Answer
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    Explanation:

    Volume of the block = (6 × 12 × 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 × 3 × 3) cm3  27 cm3
    ∴ Number of cubes = (1080 /27) = 40

    By: Amit Kumar
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