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:
where,
Initial Volume = 8 cubic units
a.
Final Volume = 216 cubic units
Therefore,
<u>k = 27</u>
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b.
Final Volume = 1 cubic units
Therefore,
<u>k = 216</u>
<u></u>
c.
Final Volume = 1000 cubic units
Therefore,
<u>k = 0.216</u>
Step 1:
first let us convert the two decimals into fractions.
0.36=36/100 (since there are two digits after decimal point we divide by 100)
2.4=24/10 (since there are one digit after decimal point we divide by 10)
now we can multiply the fractions
×
multiplying numerator with numerator and denominator with denominator:
=
Now we can convert this back to decimal
864/1000=0.864, moving decimal three digits to the left since we have three zeros in the denominator that is 1000.
Answer=0.864