Geometry Nets Information Page - Free Printable
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Step-by-step solution for: Geometry Nets Information Page
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Show Answer Key & Explanations
Step-by-step solution for: Geometry Nets Information Page
Let’s go row by row and match each 3D shape to its correct net.
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Row 1: Cube (blue-green cube)
A cube has 6 square faces. The net must have 6 squares arranged so they can fold into a cube.
→ Look at the options:
- First option: cross-shaped with 6 squares → ✔ This is a classic cube net.
- Second: square with 4 triangles → that’s for a pyramid.
- Third: rectangle with 2 circles → cylinder.
✔ So, shade the first net in row 1.
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Row 2: Cylinder (yellow can)
A cylinder has 2 circular bases and 1 curved side that becomes a rectangle when flattened.
→ Net should be: 1 rectangle + 2 circles (one on top, one on bottom).
→ Options:
- First: sector + circle → cone.
- Second: rectangle + 2 circles → ✔ Perfect!
- Third: star-like hexagon → not relevant.
✔ Shade the second net in row 2.
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Row 3: Rectangular Prism (green-blue box)
This is like a stretched cube — still 6 rectangular faces. But note: it’s longer than wide/tall.
Net must have 6 rectangles, arranged to fold into this prism.
→ Options:
- First: 3 rectangles in a column + 2 triangles on sides → that’s for a triangular prism.
- Second: cross-shape but all rectangles → yes, this can fold into a rectangular prism.
- Third: square with 4 triangles → pyramid again.
Wait — actually, let’s check carefully. The first option has 3 rectangles stacked vertically and two triangles attached to the middle rectangle’s left/right — that’s for a *triangular* prism. Not this one.
The second option: looks like a “T” or cross made of 6 rectangles? Actually, counting: top, bottom, front, back, left, right — yes, if you arrange them properly, this works.
But wait — look again: the third option is clearly wrong (pyramid).
Actually, the first option in row 3 has 3 rectangles in a vertical strip and two triangles on the sides — that’s definitely for a triangular prism.
So only the second option has 6 rectangles arranged in a way that folds into a rectangular prism.
✔ Shade the second net in row 3.
Wait — correction! Let me double-check. In row 3, the 3D shape is a rectangular prism (like a shoebox). Its net should have 6 rectangles.
Looking at the nets:
- Left: 3 rectangles in a column + 2 triangles → no, triangles don’t belong.
- Middle: 6 rectangles arranged in a cross? Actually, it’s 4 in a column and 2 sticking out left/right from the second one — that’s 6 total. Yes, that can fold into a rectangular prism.
- Right: square with 4 triangles → nope.
✔ So yes, middle net is correct.
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Row 4: Square Pyramid (blue pyramid with square base)
Has 1 square base + 4 triangular faces.
Net should show 1 square surrounded by 4 triangles.
→ Options:
- First: square with 4 triangles around it → ✔ Exactly!
- Second: cross of 6 squares → cube.
- Third: 3 rectangles + 2 triangles → triangular prism.
✔ Shade the first net in row 4.
---
Row 5: Triangular Prism (gray-yellow wedge)
Has 2 triangular bases + 3 rectangular sides.
Net should have 2 triangles and 3 rectangles.
→ Options:
- First: hexagon with 6 small shapes → no.
- Second: 3 rectangles in a column + 2 triangles on ends → ✔ Yes! That’s standard for triangular prism.
- Third: square with 4 triangles → pyramid.
✔ Shade the second net in row 5.
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Final Answer:
Shade these nets:
- Row 1: First net
- Row 2: Second net
- Row 3: Second net
- Row 4: First net
- Row 5: Second net
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Row 1: Cube (blue-green cube)
A cube has 6 square faces. The net must have 6 squares arranged so they can fold into a cube.
→ Look at the options:
- First option: cross-shaped with 6 squares → ✔ This is a classic cube net.
- Second: square with 4 triangles → that’s for a pyramid.
- Third: rectangle with 2 circles → cylinder.
✔ So, shade the first net in row 1.
---
Row 2: Cylinder (yellow can)
A cylinder has 2 circular bases and 1 curved side that becomes a rectangle when flattened.
→ Net should be: 1 rectangle + 2 circles (one on top, one on bottom).
→ Options:
- First: sector + circle → cone.
- Second: rectangle + 2 circles → ✔ Perfect!
- Third: star-like hexagon → not relevant.
✔ Shade the second net in row 2.
---
Row 3: Rectangular Prism (green-blue box)
This is like a stretched cube — still 6 rectangular faces. But note: it’s longer than wide/tall.
Net must have 6 rectangles, arranged to fold into this prism.
→ Options:
- First: 3 rectangles in a column + 2 triangles on sides → that’s for a triangular prism.
- Second: cross-shape but all rectangles → yes, this can fold into a rectangular prism.
- Third: square with 4 triangles → pyramid again.
Wait — actually, let’s check carefully. The first option has 3 rectangles stacked vertically and two triangles attached to the middle rectangle’s left/right — that’s for a *triangular* prism. Not this one.
The second option: looks like a “T” or cross made of 6 rectangles? Actually, counting: top, bottom, front, back, left, right — yes, if you arrange them properly, this works.
But wait — look again: the third option is clearly wrong (pyramid).
Actually, the first option in row 3 has 3 rectangles in a vertical strip and two triangles on the sides — that’s definitely for a triangular prism.
So only the second option has 6 rectangles arranged in a way that folds into a rectangular prism.
✔ Shade the second net in row 3.
Wait — correction! Let me double-check. In row 3, the 3D shape is a rectangular prism (like a shoebox). Its net should have 6 rectangles.
Looking at the nets:
- Left: 3 rectangles in a column + 2 triangles → no, triangles don’t belong.
- Middle: 6 rectangles arranged in a cross? Actually, it’s 4 in a column and 2 sticking out left/right from the second one — that’s 6 total. Yes, that can fold into a rectangular prism.
- Right: square with 4 triangles → nope.
✔ So yes, middle net is correct.
---
Row 4: Square Pyramid (blue pyramid with square base)
Has 1 square base + 4 triangular faces.
Net should show 1 square surrounded by 4 triangles.
→ Options:
- First: square with 4 triangles around it → ✔ Exactly!
- Second: cross of 6 squares → cube.
- Third: 3 rectangles + 2 triangles → triangular prism.
✔ Shade the first net in row 4.
---
Row 5: Triangular Prism (gray-yellow wedge)
Has 2 triangular bases + 3 rectangular sides.
Net should have 2 triangles and 3 rectangles.
→ Options:
- First: hexagon with 6 small shapes → no.
- Second: 3 rectangles in a column + 2 triangles on ends → ✔ Yes! That’s standard for triangular prism.
- Third: square with 4 triangles → pyramid.
✔ Shade the second net in row 5.
---
Final Answer:
Shade these nets:
- Row 1: First net
- Row 2: Second net
- Row 3: Second net
- Row 4: First net
- Row 5: Second net
Parent Tip: Review the logic above to help your child master the concept of nets worksheet.