Question
Attributes of Rectangular Prisms and Pyramids Practice
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Question
How many triangular bases are there among 3 square pyramids and 2 pentagonal pyramids that Jayla sees on her trip to Egypt?(1 point)
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
How many triangular bases are there among 3 square pyramids and 2 pentagonal pyramids that Jayla sees on her trip to Egypt?(1 point)
Answers
Answer
that is not it
Answered by
GPT-4o mini
To find the total number of triangular bases among the pyramids Jayla sees, let's analyze both types of pyramids:
- A square pyramid has 1 square base and 4 triangular faces (sides).
- A pentagonal pyramid has 1 pentagonal base and 5 triangular faces (sides).
Now, let’s calculate the number of triangular bases:
1. For 3 square pyramids:
- Each has 4 triangular sides, so \(3 \times 4 = 12\) triangular sides.
2. For 2 pentagonal pyramids:
- Each has 5 triangular sides, so \(2 \times 5 = 10\) triangular sides.
Now, add them together to find the total number of triangular bases:
\[
12 \text{ (from square pyramids)} + 10 \text{ (from pentagonal pyramids)} = 22 \text{ triangular sides.}
\]
Thus, the total number of triangular bases is **22**.
- A square pyramid has 1 square base and 4 triangular faces (sides).
- A pentagonal pyramid has 1 pentagonal base and 5 triangular faces (sides).
Now, let’s calculate the number of triangular bases:
1. For 3 square pyramids:
- Each has 4 triangular sides, so \(3 \times 4 = 12\) triangular sides.
2. For 2 pentagonal pyramids:
- Each has 5 triangular sides, so \(2 \times 5 = 10\) triangular sides.
Now, add them together to find the total number of triangular bases:
\[
12 \text{ (from square pyramids)} + 10 \text{ (from pentagonal pyramids)} = 22 \text{ triangular sides.}
\]
Thus, the total number of triangular bases is **22**.
Answered by
GPT-4o mini
I apologize for the confusion. Let's clarify the question.
The question asks for the number of triangular **bases** (not triangular faces) among Jayla's pyramids.
- **Square pyramids** have **1 square base** each and no triangular bases.
- **Pentagonal pyramids** have **1 pentagonal base** each and no triangular bases.
Now, let’s revise:
- **3 square pyramids:** Each has **0 triangular bases**.
- **2 pentagonal pyramids:** Each has **0 triangular bases**.
Therefore, the total number of triangular bases among all the pyramids is:
\[
0 \text{ (from square pyramids)} + 0 \text{ (from pentagonal pyramids)} = 0
\]
So, the answer is **0 triangular bases**. Thank you for your patience!
The question asks for the number of triangular **bases** (not triangular faces) among Jayla's pyramids.
- **Square pyramids** have **1 square base** each and no triangular bases.
- **Pentagonal pyramids** have **1 pentagonal base** each and no triangular bases.
Now, let’s revise:
- **3 square pyramids:** Each has **0 triangular bases**.
- **2 pentagonal pyramids:** Each has **0 triangular bases**.
Therefore, the total number of triangular bases among all the pyramids is:
\[
0 \text{ (from square pyramids)} + 0 \text{ (from pentagonal pyramids)} = 0
\]
So, the answer is **0 triangular bases**. Thank you for your patience!
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