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How many triangular bases are there among 3 square

pyramids and 2 pentagonal pyramids that Jayla sees
on her trip to Egypt? (1 point)

7 answers

To find the number of triangular bases among the square pyramids and pentagonal pyramids that Jayla sees, we need to analyze the base shapes of each type of pyramid.

  1. Square pyramids: Each square pyramid has a square base, so it does not contribute any triangular bases.

  2. Pentagonal pyramids: Each pentagonal pyramid has a pentagonal base, which also does not contribute any triangular bases.

Since neither the square pyramids nor the pentagonal pyramids have triangular bases, the total number of triangular bases among the 3 square pyramids and 2 pentagonal pyramids is:

\[ \text{Total triangular bases} = 0 \]

Thus, the answer is 0.

There is a row of two triangular pyramids and one
pentagonal pyramid in a display at a museum. How
many lateral faces are there altogether? (1 point)

To determine the total number of lateral faces among the pyramids on display, we need to know the number of lateral faces for each type of pyramid:

  1. Triangular Pyramid: A triangular pyramid (or tetrahedron) has a triangular base and three triangular lateral faces. Therefore, each triangular pyramid has 3 lateral faces.

  2. Pentagonal Pyramid: A pentagonal pyramid has a pentagonal base and five triangular lateral faces. Therefore, a pentagonal pyramid has 5 lateral faces.

Now, let's calculate the total number of lateral faces for the display:

  • For the two triangular pyramids: \[ 2 \text{ triangular pyramids} \times 3 \text{ lateral faces per pyramid} = 6 \text{ lateral faces} \]

  • For the one pentagonal pyramid: \[ 1 \text{ pentagonal pyramid} \times 5 \text{ lateral faces} = 5 \text{ lateral faces} \]

Now, adding these together:

\[ 6 \text{ (from triangular pyramids)} + 5 \text{ (from pentagonal pyramid)} = 11 \text{ lateral faces} \]

Therefore, the total number of lateral faces among the pyramids in the display is 11.

How many edges does the base of a pentagonal
pyramid have? (1 point)

The base of a pentagonal pyramid is a pentagon. A pentagon has 5 edges. Therefore, the base of a pentagonal pyramid has 5 edges.

Describe the specific attributes of a prism. (1 point)
A prism has parallel identical bases and identical
lateral faces.
A prism is a figure that has height, length, and
width.
A prism is the top or bottom face of a solid object.
A prism is a point where two or more line
segments meet.

The correct description of the specific attributes of a prism is:

A prism has parallel identical bases and identical lateral faces.

This definition highlights the key characteristics of a prism: it consists of two parallel and congruent bases (which can be in various shapes, such as triangles, rectangles, or pentagons) and lateral faces (the sides) that are parallelograms.