3D Shape Nets -Worksheets Library - Free Printable
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Step-by-step solution for: 3D Shape Nets -Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: 3D Shape Nets -Worksheets Library
Let’s go through each 3D shape one by one and check if the information in the chart is correct. We’ll look at the shape, its net (the flat version that folds into the 3D shape), and then count the faces, vertices, and edges to make sure they match what’s written.
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1. Cone
- Shape: A cone has a circular base and comes to a point on top.
- Net: One circle (base) + one sector of a circle (side).
- Faces: The curved side counts as 1 face, and the flat bottom is another → 2 faces ✔
- Vertices: Only the tip (apex) is a vertex → but wait! In geometry, a cone’s apex is often counted as a vertex? Actually, no — for elementary level, cones are said to have 0 vertices because the tip isn’t formed by intersecting straight edges like in polyhedrons. So 0 vertices ✔
- Edges: The edge where the base meets the curved surface is curved — not a straight edge. So 0 edges ✔
→ All matches!
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2. Cube
- Shape: Perfect box with all sides equal squares.
- Net: Cross-shaped pattern of 6 squares.
- Faces: 6 square faces ✔
- Vertices: Each corner is a vertex → 8 corners ✔
- Edges: Each line between two faces → 12 edges ✔
→ All matches!
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3. Cylinder
- Shape: Like a can — two flat circles and a curved side.
- Net: Two circles + one rectangle (that wraps around).
- Faces: Top circle, bottom circle, and curved side → 2 flat faces? Wait — actually, some curricula say cylinder has 3 surfaces, but only 2 *flat* faces. However, in this chart it says “2 Faces” — which likely means the two circular bases. But technically, the curved surface is also a face. Hmm… Let’s check standard elementary definition.
Actually, in many school charts (like this one), they consider:
- Faces = flat surfaces only → so 2 (top and bottom)
- Curved surface is not counted as a “face” in basic geometry for kids.
→ So 2 faces ✔
- Vertices: No corners → 0 vertices ✔
- Edges: Where the curved surface meets the top/bottom — those are curved lines, not straight edges → 0 edges ✔
→ Matches the chart.
*(Note: Some advanced definitions differ, but for this level, we follow the chart’s logic.)*
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4. Rectangular Prism
- Shape: Box with rectangular faces (not necessarily all same size).
- Net: Similar to cube but rectangles instead of squares.
- Faces: Front, back, left, right, top, bottom → 6 faces ✔
- Vertices: 8 corners ✔
- Edges: 12 edges (each face has 4, but shared) → yes, 12 ✔
→ All matches!
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5. Square Pyramid
- Shape: Square base with 4 triangular sides meeting at a point.
- Net: One square + four triangles.
- Faces: Base (1) + 4 triangles = 5 faces ✔
- Vertices: 4 corners on base + 1 apex = 5 vertices ✔
- Edges: 4 on base + 4 from base to apex = 8 edges ✔
→ All matches!
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6. Triangular Prism
- Shape: Two triangle bases connected by 3 rectangles.
- Net: Two triangles + three rectangles.
- Faces: 2 triangles + 3 rectangles = 5 faces ✔
- Vertices: Each triangle has 3 → total 6 vertices ✔
- Edges: Each triangle has 3 edges → 3 + 3 = 6, plus 3 connecting edges between them → total 9 edges ✔
→ All matches!
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✔ Every row in the chart is correctly filled out!
Final Answer:
All the information in the 3D Shape Chart is accurate. Each shape’s net, number of faces, vertices, and edges are correctly listed.
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1. Cone
- Shape: A cone has a circular base and comes to a point on top.
- Net: One circle (base) + one sector of a circle (side).
- Faces: The curved side counts as 1 face, and the flat bottom is another → 2 faces ✔
- Vertices: Only the tip (apex) is a vertex → but wait! In geometry, a cone’s apex is often counted as a vertex? Actually, no — for elementary level, cones are said to have 0 vertices because the tip isn’t formed by intersecting straight edges like in polyhedrons. So 0 vertices ✔
- Edges: The edge where the base meets the curved surface is curved — not a straight edge. So 0 edges ✔
→ All matches!
---
2. Cube
- Shape: Perfect box with all sides equal squares.
- Net: Cross-shaped pattern of 6 squares.
- Faces: 6 square faces ✔
- Vertices: Each corner is a vertex → 8 corners ✔
- Edges: Each line between two faces → 12 edges ✔
→ All matches!
---
3. Cylinder
- Shape: Like a can — two flat circles and a curved side.
- Net: Two circles + one rectangle (that wraps around).
- Faces: Top circle, bottom circle, and curved side → 2 flat faces? Wait — actually, some curricula say cylinder has 3 surfaces, but only 2 *flat* faces. However, in this chart it says “2 Faces” — which likely means the two circular bases. But technically, the curved surface is also a face. Hmm… Let’s check standard elementary definition.
Actually, in many school charts (like this one), they consider:
- Faces = flat surfaces only → so 2 (top and bottom)
- Curved surface is not counted as a “face” in basic geometry for kids.
→ So 2 faces ✔
- Vertices: No corners → 0 vertices ✔
- Edges: Where the curved surface meets the top/bottom — those are curved lines, not straight edges → 0 edges ✔
→ Matches the chart.
*(Note: Some advanced definitions differ, but for this level, we follow the chart’s logic.)*
---
4. Rectangular Prism
- Shape: Box with rectangular faces (not necessarily all same size).
- Net: Similar to cube but rectangles instead of squares.
- Faces: Front, back, left, right, top, bottom → 6 faces ✔
- Vertices: 8 corners ✔
- Edges: 12 edges (each face has 4, but shared) → yes, 12 ✔
→ All matches!
---
5. Square Pyramid
- Shape: Square base with 4 triangular sides meeting at a point.
- Net: One square + four triangles.
- Faces: Base (1) + 4 triangles = 5 faces ✔
- Vertices: 4 corners on base + 1 apex = 5 vertices ✔
- Edges: 4 on base + 4 from base to apex = 8 edges ✔
→ All matches!
---
6. Triangular Prism
- Shape: Two triangle bases connected by 3 rectangles.
- Net: Two triangles + three rectangles.
- Faces: 2 triangles + 3 rectangles = 5 faces ✔
- Vertices: Each triangle has 3 → total 6 vertices ✔
- Edges: Each triangle has 3 edges → 3 + 3 = 6, plus 3 connecting edges between them → total 9 edges ✔
→ All matches!
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✔ Every row in the chart is correctly filled out!
Final Answer:
All the information in the 3D Shape Chart is accurate. Each shape’s net, number of faces, vertices, and edges are correctly listed.
Parent Tip: Review the logic above to help your child master the concept of nets worksheet.