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.

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.

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.