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A rectangular pyramid is labeled with the following dimensions. The front left edge of the rectangular base is labeled 6. The front right edge of the rectangular base is labeled 4. There is a dashed line labeled 4 that extends from the apex to the middle of the line labeled 6. There is another dashed line labeled 4 point 6 that extends from the apex to the middle of the line labeled 4.

The rectangular pyramid could be decomposed into which of the following nets?

(1 point)
Responses

A rectangle has 4 triangles connected to it.
Image with alt text: A rectangle has 4 triangles connected to it.

A rectangle has 4 triangles connected to it.
Image with alt text: A rectangle has 4 triangles connected to it.

A rectangle has 4 triangles connected to it.
Image with alt text: A rectangle has 4 triangles connected to it.

A rectangle has 4 triangles connected to it.
Image with alt text: A rectangle has 4 triangles connected to it.
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1 answer

To determine the correct net for the rectangular pyramid based on the descriptions you've provided, we analyze the components. A rectangular pyramid consists of a rectangular base and four triangular faces that connect the apex to each side of the rectangle.

Given the dimensions:

  • The rectangle (base) is labeled with a length of 6 and a width of 4.
  • There are four triangular faces, each connected at the edges of the rectangle.

Therefore, the net of the rectangular pyramid would consist of:

  • One rectangle representing the base (6 by 4).
  • Four triangles (one for each edge of the base) which extend from each side of the rectangle upwards towards the apex of the pyramid.

Since all provided options describe a rectangle with four triangles connected to it, and they are all identical, you would select any of these options as correct.

Thus, the answer would be:

A rectangle has 4 triangles connected to it. (You can choose any of the responses that state this.)