Year 5 | Nets of 3D Shapes Worksheets | KS2 Geometry: Properties ... - Free Printable
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Step-by-step solution for: Year 5 | Nets of 3D Shapes Worksheets | KS2 Geometry: Properties ...
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Show Answer Key & Explanations
Step-by-step solution for: Year 5 | Nets of 3D Shapes Worksheets | KS2 Geometry: Properties ...
Let’s solve each part step by step.
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Question 1: Which net folds into a cube?
A cube has 6 square faces. A valid net must have exactly 6 squares arranged so they can fold without overlapping to form a closed box.
Look at the options:
- First option (cross shape): This is the classic “T” or cross-shaped net — it works! It has 6 squares, and when folded, each becomes a face of the cube.
- Second option (zigzag with gaps): Has only 5 squares? Wait — let’s count: top row 4, bottom row 2 under middle two → that’s 6. But this arrangement leaves gaps when folding — it won’t close properly. Actually, this is NOT a valid cube net.
- Third option (vertical strip with side squares): Let’s visualize — if you fold the sides up, the top and bottom might not meet. Actually, this one also doesn’t work — it’s missing a face or overlaps.
✔ The first net (the cross) is the correct one for a cube.
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Question 2: Which net folds into a cuboid?
A cuboid is like a stretched cube — still 6 rectangular faces, but not all same size. In the picture, the cuboid shown is taller than wide — so its net should reflect that.
Options:
- First net: Looks like 3 rectangles in a row, with one attached to left and right of middle rectangle — total 5? Wait, no — actually, it’s 3 vertical rectangles, then one on left of top, one on right of bottom? That’s messy. Probably not.
- Second net: Cross shape again — but made of rectangles. If we assume the center rectangle is front/back, and arms are sides/top/bottom — yes, this can fold into a cuboid. The proportions match the tall orange cuboid shown.
- Third net: Two rows of 3 rectangles — this would make a flat box, maybe too short? Doesn’t match the tall cuboid.
✔ The second net (cross-shaped with rectangles) matches the tall cuboid.
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Wait — looking back at the image provided (even though I’m not describing it), based on standard nets:
For Question 1 (cube): The correct net is the first one — the cross shape with 6 squares.
For Question 2 (cuboid): The correct net is the second one — the cross shape made of rectangles, matching the height of the given cuboid.
But wait — let me double-check common nets.
Actually, for cubes, there are 11 possible nets. The cross is one. The zigzag (like stairs) is another — but in the image, the second option for cube looks like a “staircase” of 4 squares with 2 below — that’s actually a valid net too? Hmm.
Wait — perhaps I need to be more precise.
In many worksheets, for cube nets:
- Option 1: Cross — VALID
- Option 2: Four in a row, with one above second and one below third — that’s also VALID? Actually, no — that causes overlap.
Standard rule: For a cube net, no more than 4 squares in a straight line, and must connect edge-to-edge without gaps.
Looking again:
First net (cross): ✔ Valid
Second net: Imagine folding — if you have four in a row, and attach one above the second and one below the third — when you fold, the top and bottom will clash. So INVALID.
Third net: Three in a column, with one on left of top, one on right of middle, one on left of bottom — that’s 6, but folding may leave open faces. Actually, this is also invalid.
So only first net works for cube.
For cuboid:
The cuboid shown is tall — so its net should have long rectangles for front/back/sides, and smaller ones for top/bottom.
Second net: Cross shape — if the vertical arm is longer, it could represent the height. Yes — this matches.
First net: Too many small rectangles — wouldn’t match the tall shape.
Third net: All same size? No — probably not.
✔ So answers are:
1. First net (cross)
2. Second net (cross with rectangles)
But wait — in some versions, the third net for cuboid might be correct? Let me think differently.
Perhaps I should just go with what’s commonly accepted.
Final decision:
For cube: Net 1 (cross)
For cuboid: Net 2 (the one that looks like a plus sign with rectangles)
Yes.
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Final Answer:
1. The first net (cross shape)
2. The second net (cross shape with rectangles)
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Question 1: Which net folds into a cube?
A cube has 6 square faces. A valid net must have exactly 6 squares arranged so they can fold without overlapping to form a closed box.
Look at the options:
- First option (cross shape): This is the classic “T” or cross-shaped net — it works! It has 6 squares, and when folded, each becomes a face of the cube.
- Second option (zigzag with gaps): Has only 5 squares? Wait — let’s count: top row 4, bottom row 2 under middle two → that’s 6. But this arrangement leaves gaps when folding — it won’t close properly. Actually, this is NOT a valid cube net.
- Third option (vertical strip with side squares): Let’s visualize — if you fold the sides up, the top and bottom might not meet. Actually, this one also doesn’t work — it’s missing a face or overlaps.
✔ The first net (the cross) is the correct one for a cube.
---
Question 2: Which net folds into a cuboid?
A cuboid is like a stretched cube — still 6 rectangular faces, but not all same size. In the picture, the cuboid shown is taller than wide — so its net should reflect that.
Options:
- First net: Looks like 3 rectangles in a row, with one attached to left and right of middle rectangle — total 5? Wait, no — actually, it’s 3 vertical rectangles, then one on left of top, one on right of bottom? That’s messy. Probably not.
- Second net: Cross shape again — but made of rectangles. If we assume the center rectangle is front/back, and arms are sides/top/bottom — yes, this can fold into a cuboid. The proportions match the tall orange cuboid shown.
- Third net: Two rows of 3 rectangles — this would make a flat box, maybe too short? Doesn’t match the tall cuboid.
✔ The second net (cross-shaped with rectangles) matches the tall cuboid.
---
Wait — looking back at the image provided (even though I’m not describing it), based on standard nets:
For Question 1 (cube): The correct net is the first one — the cross shape with 6 squares.
For Question 2 (cuboid): The correct net is the second one — the cross shape made of rectangles, matching the height of the given cuboid.
But wait — let me double-check common nets.
Actually, for cubes, there are 11 possible nets. The cross is one. The zigzag (like stairs) is another — but in the image, the second option for cube looks like a “staircase” of 4 squares with 2 below — that’s actually a valid net too? Hmm.
Wait — perhaps I need to be more precise.
In many worksheets, for cube nets:
- Option 1: Cross — VALID
- Option 2: Four in a row, with one above second and one below third — that’s also VALID? Actually, no — that causes overlap.
Standard rule: For a cube net, no more than 4 squares in a straight line, and must connect edge-to-edge without gaps.
Looking again:
First net (cross): ✔ Valid
Second net: Imagine folding — if you have four in a row, and attach one above the second and one below the third — when you fold, the top and bottom will clash. So INVALID.
Third net: Three in a column, with one on left of top, one on right of middle, one on left of bottom — that’s 6, but folding may leave open faces. Actually, this is also invalid.
So only first net works for cube.
For cuboid:
The cuboid shown is tall — so its net should have long rectangles for front/back/sides, and smaller ones for top/bottom.
Second net: Cross shape — if the vertical arm is longer, it could represent the height. Yes — this matches.
First net: Too many small rectangles — wouldn’t match the tall shape.
Third net: All same size? No — probably not.
✔ So answers are:
1. First net (cross)
2. Second net (cross with rectangles)
But wait — in some versions, the third net for cuboid might be correct? Let me think differently.
Perhaps I should just go with what’s commonly accepted.
Final decision:
For cube: Net 1 (cross)
For cuboid: Net 2 (the one that looks like a plus sign with rectangles)
Yes.
---
Final Answer:
1. The first net (cross shape)
2. The second net (cross shape with rectangles)
Parent Tip: Review the logic above to help your child master the concept of geometric shapes nets worksheet.