Shape Nets | mikmik22 - Free Printable
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Step-by-step solution for: Shape Nets | mikmik22
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Show Answer Key & Explanations
Step-by-step solution for: Shape Nets | mikmik22
Let’s match each 3D shape to its correct name and net.
We’ll go row by row, looking at the solid shape on the left, then find the matching name in the middle, and finally the correct net (flat pattern) on the right.
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Row 1:
- Solid: Yellow cube → all sides are squares.
- Name options: “cube” is there — that matches.
- Net for a cube: must have 6 squares arranged so they can fold into a cube. The red cross-shaped net with 6 squares is the classic cube net.
→ So: Cube ↔ cube ↔ red cross net
Wait — but in the image, the first row has “square-based pyramid” as the label? That’s wrong for the cube! We need to ignore the labels given and match correctly.
Actually, let’s re-read the instruction: “Match each solid shape to its name and net.” So we’re supposed to draw lines or connect them correctly — meaning the current arrangement may be mismatched, and we need to fix it.
Looking again:
The worksheet shows 6 rows. Each row has:
- Left: a 3D shape
- Middle: a name (but possibly not matched yet)
- Right: a net (also possibly not matched)
So our job is to pair each 3D shape with the correct name AND the correct net.
Let’s list all 3D shapes from top to bottom:
1. Yellow cube
2. Pink triangular pyramid (tetrahedron)
3. Purple rectangular prism (like a box)
4. Blue cylinder
5. Orange triangular prism (like a Toblerone bar)
6. Purple square-based pyramid (base is square, 4 triangle sides)
Now list the names given (middle column):
- square-based pyramid
- cube
- triangular pyramid
- rectangular prism
- triangular prism
- cylinder
That’s 6 names — good.
Now nets (right column), top to bottom:
1. Red cross of 6 squares → cube net
2. Green rectangle with two triangles on ends → triangular prism net
3. Light blue cross of 6 rectangles → actually, this looks like a rectangular prism net? Wait — no, it’s 6 rectangles? Actually, looking closely: it’s 6 faces — 4 long rectangles and 2 small squares? Hmm. Let’s think differently.
Better approach: Match known pairs.
✔ Cube → name: “cube” → net: red cross (6 squares)
✔ Triangular pyramid (tetrahedron) → name: “triangular pyramid” → net: pink big triangle divided into 4 smaller triangles (that’s the net for a tetrahedron)
✔ Rectangular prism → name: “rectangular prism” → net: light blue cross made of 6 rectangles? Actually, the third net down is light blue cross — yes, that’s a common net for a rectangular prism (if all faces are rectangles).
Wait — let’s check standard nets:
Standard nets:
- Cube: 6 squares in cross shape → red one (first net)
- Triangular prism: 3 rectangles + 2 triangles → green one (second net) has 3 rectangles and 2 triangles → yes!
- Square-based pyramid: 1 square + 4 triangles → orange star-like shape (fourth net) → yes, that’s it.
- Cylinder: 1 rectangle + 2 circles → last net (purple rectangle with two circles) → yes.
- Triangular pyramid (tetrahedron): 4 triangles → fifth net (pink large triangle divided into 4) → yes.
- Rectangular prism: 6 rectangles → third net (light blue cross) → yes, if it’s made of rectangles.
But wait — the third net (light blue) looks like it has 6 rectangles? Actually, counting: vertical strip of 4, plus one on each side → total 6. Yes, that’s a net for a rectangular prism.
Now let’s assign each 3D shape to correct name and net.
List of 3D shapes (left column, top to bottom):
1. Cube → should match name “cube” and net “red cross” (first net)
2. Triangular pyramid (pink tetrahedron) → name “triangular pyramid” and net “pink divided triangle” (fifth net)
3. Rectangular prism (purple box) → name “rectangular prism” and net “light blue cross” (third net)
4. Cylinder (blue can) → name “cylinder” and net “purple rectangle with two circles” (sixth net)
5. Triangular prism (orange tent-like) → name “triangular prism” and net “green with two triangles” (second net)
6. Square-based pyramid (purple with square base) → name “square-based pyramid” and net “orange star” (fourth net)
Now, let’s write the correct matches per row as they appear in the worksheet.
But note: the worksheet has fixed positions. We need to say which name and which net goes with each shape.
Since the user wants us to solve the problem, we’ll provide the correct pairing for each shape.
Final matching:
Shape 1 (yellow cube) → name: cube → net: red cross (first net on right)
Shape 2 (pink triangular pyramid) → name: triangular pyramid → net: pink divided triangle (fifth net)
Shape 3 (purple rectangular prism) → name: rectangular prism → net: light blue cross (third net)
Shape 4 (blue cylinder) → name: cylinder → net: purple rectangle with circles (sixth net)
Shape 5 (orange triangular prism) → name: triangular prism → net: green with triangles (second net)
Shape 6 (purple square-based pyramid) → name: square-based pyramid → net: orange star (fourth net)
Now, to present the answer clearly, we can list each shape with its correct name and net position.
But since the worksheet likely expects connecting dots or writing letters, and we don’t have that, we’ll state the correct pairs.
Alternatively, we can list the correct name and net for each row as shown.
Let me map by row number (as displayed):
Row 1: Shape = cube → Correct name = "cube" → Correct net = first net (red cross)
But in the worksheet, row 1 has name "square-based pyramid" — that’s incorrect. So we override.
Similarly, row 2: shape = triangular pyramid → name should be "triangular pyramid", net should be fifth net.
To avoid confusion, let's make a table:
| Row | 3D Shape | Correct Name | Correct Net (by position) |
|-----|----------------------|------------------------|----------------------------|
| 1 | Cube | cube | 1st (red cross) |
| 2 | Triangular Pyramid | triangular pyramid | 5th (pink divided triangle)|
| 3 | Rectangular Prism | rectangular prism | 3rd (light blue cross) |
| 4 | Cylinder | cylinder | 6th (purple rect + circles)|
| 5 | Triangular Prism | triangular prism | 2nd (green with triangles)|
| 6 | Square-Based Pyramid | square-based pyramid | 4th (orange star) |
Yes, this makes sense.
Now, to confirm:
- Net 1 (red cross): 6 squares → cube ✔️
- Net 2 (green): 3 rectangles + 2 triangles → triangular prism ✔️
- Net 3 (light blue cross): 6 rectangles → rectangular prism ✔️
- Net 4 (orange star): 1 square + 4 triangles → square-based pyramid ✔️
- Net 5 (pink divided triangle): 4 triangles → triangular pyramid (tetrahedron) ✔️
- Net 6 (purple): rectangle + 2 circles → cylinder ✔️
Perfect.
So the correct matches are:
For the yellow cube (row 1): name = "cube", net = first net (red cross)
For the pink triangular pyramid (row 2): name = "triangular pyramid", net = fifth net (pink divided triangle)
For the purple rectangular prism (row 3): name = "rectangular prism", net = third net (light blue cross)
For the blue cylinder (row 4): name = "cylinder", net = sixth net (purple rectangle with circles)
For the orange triangular prism (row 5): name = "triangular prism", net = second net (green with triangles)
For the purple square-based pyramid (row 6): name = "square-based pyramid", net = fourth net (orange star)
Final Answer:
Cube → cube → red cross net
Triangular pyramid → triangular pyramid → pink divided triangle net
Rectangular prism → rectangular prism → light blue cross net
Cylinder → cylinder → purple rectangle with circles net
Triangular prism → triangular prism → green net with triangles
Square-based pyramid → square-based pyramid → orange star net
We’ll go row by row, looking at the solid shape on the left, then find the matching name in the middle, and finally the correct net (flat pattern) on the right.
---
Row 1:
- Solid: Yellow cube → all sides are squares.
- Name options: “cube” is there — that matches.
- Net for a cube: must have 6 squares arranged so they can fold into a cube. The red cross-shaped net with 6 squares is the classic cube net.
→ So: Cube ↔ cube ↔ red cross net
Wait — but in the image, the first row has “square-based pyramid” as the label? That’s wrong for the cube! We need to ignore the labels given and match correctly.
Actually, let’s re-read the instruction: “Match each solid shape to its name and net.” So we’re supposed to draw lines or connect them correctly — meaning the current arrangement may be mismatched, and we need to fix it.
Looking again:
The worksheet shows 6 rows. Each row has:
- Left: a 3D shape
- Middle: a name (but possibly not matched yet)
- Right: a net (also possibly not matched)
So our job is to pair each 3D shape with the correct name AND the correct net.
Let’s list all 3D shapes from top to bottom:
1. Yellow cube
2. Pink triangular pyramid (tetrahedron)
3. Purple rectangular prism (like a box)
4. Blue cylinder
5. Orange triangular prism (like a Toblerone bar)
6. Purple square-based pyramid (base is square, 4 triangle sides)
Now list the names given (middle column):
- square-based pyramid
- cube
- triangular pyramid
- rectangular prism
- triangular prism
- cylinder
That’s 6 names — good.
Now nets (right column), top to bottom:
1. Red cross of 6 squares → cube net
2. Green rectangle with two triangles on ends → triangular prism net
3. Light blue cross of 6 rectangles → actually, this looks like a rectangular prism net? Wait — no, it’s 6 rectangles? Actually, looking closely: it’s 6 faces — 4 long rectangles and 2 small squares? Hmm. Let’s think differently.
Better approach: Match known pairs.
✔ Cube → name: “cube” → net: red cross (6 squares)
✔ Triangular pyramid (tetrahedron) → name: “triangular pyramid” → net: pink big triangle divided into 4 smaller triangles (that’s the net for a tetrahedron)
✔ Rectangular prism → name: “rectangular prism” → net: light blue cross made of 6 rectangles? Actually, the third net down is light blue cross — yes, that’s a common net for a rectangular prism (if all faces are rectangles).
Wait — let’s check standard nets:
Standard nets:
- Cube: 6 squares in cross shape → red one (first net)
- Triangular prism: 3 rectangles + 2 triangles → green one (second net) has 3 rectangles and 2 triangles → yes!
- Square-based pyramid: 1 square + 4 triangles → orange star-like shape (fourth net) → yes, that’s it.
- Cylinder: 1 rectangle + 2 circles → last net (purple rectangle with two circles) → yes.
- Triangular pyramid (tetrahedron): 4 triangles → fifth net (pink large triangle divided into 4) → yes.
- Rectangular prism: 6 rectangles → third net (light blue cross) → yes, if it’s made of rectangles.
But wait — the third net (light blue) looks like it has 6 rectangles? Actually, counting: vertical strip of 4, plus one on each side → total 6. Yes, that’s a net for a rectangular prism.
Now let’s assign each 3D shape to correct name and net.
List of 3D shapes (left column, top to bottom):
1. Cube → should match name “cube” and net “red cross” (first net)
2. Triangular pyramid (pink tetrahedron) → name “triangular pyramid” and net “pink divided triangle” (fifth net)
3. Rectangular prism (purple box) → name “rectangular prism” and net “light blue cross” (third net)
4. Cylinder (blue can) → name “cylinder” and net “purple rectangle with two circles” (sixth net)
5. Triangular prism (orange tent-like) → name “triangular prism” and net “green with two triangles” (second net)
6. Square-based pyramid (purple with square base) → name “square-based pyramid” and net “orange star” (fourth net)
Now, let’s write the correct matches per row as they appear in the worksheet.
But note: the worksheet has fixed positions. We need to say which name and which net goes with each shape.
Since the user wants us to solve the problem, we’ll provide the correct pairing for each shape.
Final matching:
Shape 1 (yellow cube) → name: cube → net: red cross (first net on right)
Shape 2 (pink triangular pyramid) → name: triangular pyramid → net: pink divided triangle (fifth net)
Shape 3 (purple rectangular prism) → name: rectangular prism → net: light blue cross (third net)
Shape 4 (blue cylinder) → name: cylinder → net: purple rectangle with circles (sixth net)
Shape 5 (orange triangular prism) → name: triangular prism → net: green with triangles (second net)
Shape 6 (purple square-based pyramid) → name: square-based pyramid → net: orange star (fourth net)
Now, to present the answer clearly, we can list each shape with its correct name and net position.
But since the worksheet likely expects connecting dots or writing letters, and we don’t have that, we’ll state the correct pairs.
Alternatively, we can list the correct name and net for each row as shown.
Let me map by row number (as displayed):
Row 1: Shape = cube → Correct name = "cube" → Correct net = first net (red cross)
But in the worksheet, row 1 has name "square-based pyramid" — that’s incorrect. So we override.
Similarly, row 2: shape = triangular pyramid → name should be "triangular pyramid", net should be fifth net.
To avoid confusion, let's make a table:
| Row | 3D Shape | Correct Name | Correct Net (by position) |
|-----|----------------------|------------------------|----------------------------|
| 1 | Cube | cube | 1st (red cross) |
| 2 | Triangular Pyramid | triangular pyramid | 5th (pink divided triangle)|
| 3 | Rectangular Prism | rectangular prism | 3rd (light blue cross) |
| 4 | Cylinder | cylinder | 6th (purple rect + circles)|
| 5 | Triangular Prism | triangular prism | 2nd (green with triangles)|
| 6 | Square-Based Pyramid | square-based pyramid | 4th (orange star) |
Yes, this makes sense.
Now, to confirm:
- Net 1 (red cross): 6 squares → cube ✔️
- Net 2 (green): 3 rectangles + 2 triangles → triangular prism ✔️
- Net 3 (light blue cross): 6 rectangles → rectangular prism ✔️
- Net 4 (orange star): 1 square + 4 triangles → square-based pyramid ✔️
- Net 5 (pink divided triangle): 4 triangles → triangular pyramid (tetrahedron) ✔️
- Net 6 (purple): rectangle + 2 circles → cylinder ✔️
Perfect.
So the correct matches are:
For the yellow cube (row 1): name = "cube", net = first net (red cross)
For the pink triangular pyramid (row 2): name = "triangular pyramid", net = fifth net (pink divided triangle)
For the purple rectangular prism (row 3): name = "rectangular prism", net = third net (light blue cross)
For the blue cylinder (row 4): name = "cylinder", net = sixth net (purple rectangle with circles)
For the orange triangular prism (row 5): name = "triangular prism", net = second net (green with triangles)
For the purple square-based pyramid (row 6): name = "square-based pyramid", net = fourth net (orange star)
Final Answer:
Cube → cube → red cross net
Triangular pyramid → triangular pyramid → pink divided triangle net
Rectangular prism → rectangular prism → light blue cross net
Cylinder → cylinder → purple rectangle with circles net
Triangular prism → triangular prism → green net with triangles
Square-based pyramid → square-based pyramid → orange star net
Parent Tip: Review the logic above to help your child master the concept of nets worksheet.