Question
How many cuts are needed to divide a pole 21 feet into 3 -foot sections? A. 3 B. 7 C. 4 D. 6
Ask by Murphy Vega. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
6 cuts are needed to divide the pole into 3-foot sections.
Solution
**Step 1:** Determine the number of 3-foot sections in a 21-foot pole.
Since the pole is 21 feet long and each section is 3 feet, the number of sections is
\[
\frac{21}{3} = 7
\]
**Step 2:** Calculate the number of cuts needed.
In general, to divide a pole into \( n \) sections, you need \( n-1 \) cuts. Thus, for 7 sections, the number of cuts is
\[
7 - 1 = 6
\]
**Answer:** 6
(Option D)
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Simplify this solution Bonus Knowledge
To divide a 21-foot pole into 3-foot sections, you’ll get a total of 7 sections since 21 divided by 3 equals 7. However, to create 7 sections, you need to make 6 cuts because each cut adds one segment. Think of it this way: if you have 7 pieces, you need one less cut than the number of pieces to separate them. So the answer is D. 6 cuts. Always remember, it’s one fewer cut than the number of segments you want!
