If the​ length, width, and height of a cube all change by a factor of 7​, what happens to the volume of the​ cube? The length is

If the​ length, width, and height of a cube all change by a factor of 7​, what happens to the volume of the​ cube?

The length is ___ times as large.

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    Answer:

      The volume is 343 times as large.

      The length is 7 times as large.

    Step-by-step explanation:

    If the original cube has side length s, its volume is given by …

      V = s³

    When the side length is changed by a factor of 7, the new volume is …

      V = (7s)³ = 7³×s³ = 343s³

    The volume of the cube changes by a factor of 7³ = 343.

    __

    The problem statement tells you the length is 7 times as large.

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