Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
To solve this problem, let's break down the options given and explain why the correct one involves dividing the product of 12 and 9 by 3.
1. Isabella should have divided 12 by 2 before squaring to get [tex]\( V = \frac{1}{3}(B)^2(9) \pi \)[/tex]:
- This option does not align with our problem since we are working with the numbers 12 and 9 directly and not with some intermediate division and squaring steps.
2. Isabella should have squared 9 instead of 12 to get [tex]\( V = \frac{1}{3}(9)^2(12) \pi \)[/tex]:
- Squaring 9 or 12 is not mentioned in the context of our original problem.
3. Isabella should have divided the product of 12 and 9 by 3 to get [tex]\( V = \frac{12(9)}{3} \)[/tex]:
- This aligns with the correct approach. To find the correct volume [tex]\( V \)[/tex], Isabella should multiply 12 and 9 first to get 108, and then divide by 3, resulting in 36.
4. Isabella should have divided the product of [tex]\( 12 \pi \)[/tex] and 9 by 3 to get [tex]\( V = \frac{12 \pi(9)}{3} \)[/tex]:
- This option unnecessarily complicates the formula as [tex]\(\pi\)[/tex] is not part of our original needs for 12 and 9.
Given this, the correct step-by-step solution to identify Isabella's error is:
1. Calculate the product of 12 and 9:
[tex]\[ 12 \times 9 = 108 \][/tex]
2. Divide the product by 3:
[tex]\[ \frac{108}{3} = 36 \][/tex]
Therefore, the correct statement is:
- Isabella should have divided the product of 12 and 9 by 3 to get [tex]\( V = \frac{12(9)}{3} \)[/tex].
By doing so, Isabella would obtain the correct volume as 36.
1. Isabella should have divided 12 by 2 before squaring to get [tex]\( V = \frac{1}{3}(B)^2(9) \pi \)[/tex]:
- This option does not align with our problem since we are working with the numbers 12 and 9 directly and not with some intermediate division and squaring steps.
2. Isabella should have squared 9 instead of 12 to get [tex]\( V = \frac{1}{3}(9)^2(12) \pi \)[/tex]:
- Squaring 9 or 12 is not mentioned in the context of our original problem.
3. Isabella should have divided the product of 12 and 9 by 3 to get [tex]\( V = \frac{12(9)}{3} \)[/tex]:
- This aligns with the correct approach. To find the correct volume [tex]\( V \)[/tex], Isabella should multiply 12 and 9 first to get 108, and then divide by 3, resulting in 36.
4. Isabella should have divided the product of [tex]\( 12 \pi \)[/tex] and 9 by 3 to get [tex]\( V = \frac{12 \pi(9)}{3} \)[/tex]:
- This option unnecessarily complicates the formula as [tex]\(\pi\)[/tex] is not part of our original needs for 12 and 9.
Given this, the correct step-by-step solution to identify Isabella's error is:
1. Calculate the product of 12 and 9:
[tex]\[ 12 \times 9 = 108 \][/tex]
2. Divide the product by 3:
[tex]\[ \frac{108}{3} = 36 \][/tex]
Therefore, the correct statement is:
- Isabella should have divided the product of 12 and 9 by 3 to get [tex]\( V = \frac{12(9)}{3} \)[/tex].
By doing so, Isabella would obtain the correct volume as 36.
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.