6. Find the smallest number by which 8788 should be divided so that quotient is a perfect cube. Also find the cube root of the quotient

Question

6. Find the smallest number by which 8788 should be divided so that quotient is a perfect
cube. Also find the cube root of the quotient.
7. Find the side of a cube whose volume is 4096 m.​

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Piper 1 month 2021-08-12T11:34:55+00:00 1 Answer 0 views 0

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    2021-08-12T11:36:22+00:00

    Answer:

    6.

    Step-by-step explanation:

    The given number is 8788

    The prime factorisation of 8788 is given by,

    8788=2×2×13×13×13

    We see that prime factor 2 does not occur in the group of 3, hence the given number is not a perfect cube.

    In order to make it a perfect cube, it must be divided by 4.

    Now, 48788=42×2×13×13×13

    ⇒2197=13×13×13, which is a perfect cube number.

    Thus, the cube root of 2197=13

    7.

    a≈16

    V

    Volume Unit Conversion:Using the formula

    V=a3

    Solving for

    aa=V⅓=4096⅓≈16

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