Attributes of Rectangular Prisms and Pyramids Practice

Question

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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)

Answer 1

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.

Answer 2

that is not it

Answer 3

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!