Answer:
a. k = 27
b. k = 216
c. k = 0.216
Step-by-step explanation:
The value of the scale factor can be given by the following formula:
[tex]k = \frac{Final\ Volume}{Initial\ Volume}[/tex]
where,
Initial Volume = 8 cubic units
a.
Final Volume = 216 cubic units
Therefore,
[tex]k = \frac{216\ cubic\ units}{8\ cubic\ units}[/tex]
k = 27
b.
Final Volume = 1 cubic units
Therefore,
[tex]k = \frac{216\ cubic\ units}{1\ cubic\ units}[/tex]
k = 216
c.
Final Volume = 1000 cubic units
Therefore,
[tex]k = \frac{216\ cubic\ units}{1000\ cubic\ units}[/tex]
k = 0.216
