Subjects geometry

Prism Net Match 0F2078

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1. **Problem Statement:** We have a net of a triangular prism with symbols on its faces: a pink "Y" on a triangular face, and four rectangular faces with a green parallelogram, a purple downward triangle, an orange arrow pointing right, and a blue circle. 2. **Goal:** Identify which two of the given prisms (A, B, C, D, E, F) can be formed by folding this net. 3. **Key Insight:** When folded, the net's faces must match the prism's faces in position and orientation. The triangular face with the pink "Y" must be on a triangular face of the prism. The four rectangular faces with symbols must correspond to the rectangular faces of the prism. 4. **Analyze the net:** - Triangular face: pink "Y" - Rectangular faces: green parallelogram, purple downward triangle, orange arrow pointing right, blue circle 5. **Check each prism:** - Prism A: Has green parallelogram (left), blue oval (top), orange arrow (right), but no pink "Y" triangular face. So A cannot be formed. - Prism B: Has purple downward triangle (top), orange arrow (left), blue oval (right), no pink "Y" triangular face. So B cannot be formed. - Prism C: Has pink "Y" (top triangular face), orange arrow (up on left), blue oval (right), but missing green parallelogram and purple downward triangle. So C cannot be formed. - Prism D: Has pink "Y" (top triangular face), orange arrow (up on left), green parallelogram (right), matches three faces but missing purple downward triangle and blue circle. So D cannot be formed. - Prism E: Has purple downward triangle (top), green parallelogram (left), blue oval (right), no pink "Y" triangular face. So E cannot be formed. - Prism F: Has purple downward triangle (top), green parallelogram (right), orange arrow (up on left), no pink "Y" triangular face. So F cannot be formed. 6. **Conclusion:** None of the prisms exactly match the net with the pink "Y" triangular face and all four rectangular faces. However, the net shows the pink "Y" on the triangular face, so only prisms with pink "Y" triangular face are possible: C and D. 7. **Final answer:** The two prisms that can be made from this net are **C and D**.