Question

which is the net for the figure shown?

Explanation:

Step1: Identify the 3D shape

The figure is a triangular prism, which has 2 congruent triangular faces and 3 rectangular faces.

Step2: Match to net requirements

A net for a triangular prism must have 2 identical triangles and 3 rectangles, with the triangles attached to the rectangles (not on the same side of the rectangle strip, and no extra/mismatched shapes). The top-left option has 2 triangles (one at the end of the rectangle strip, one at the bottom of the last rectangle) and 3 rectangles, which fits the structure of a triangular prism net.

Step3: Eliminate other options

• Top-right: Has a triangular shape that is not congruent to the top triangle, and the rectangle arrangement is incorrect.
• Bottom-left: Both triangles are on the same side of the rectangle strip, which cannot form a closed triangular prism.
• Bottom-right: Has 4 rectangles, which does not match the 3 rectangles of a triangular prism.

Answer:

Top-left option (the net with 3 connected rectangles, one triangle attached to the top of the first rectangle, and one triangle attached to the bottom of the third rectangle)