BlueGhirahim
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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.

Sagot :

sqdancefan

9514 1404 393

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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