Share
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
Question
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.
in progress
0
Mathematics
3 years
2021-07-30T15:09:18+00:00
2021-07-30T15:09:18+00:00 1 Answers
231 views
0
Answers ( )
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.