Sure! Let’s solve each problem by counting the number of small cubes that make up each 3D shape. Since each small cube is assumed to have a volume of 1 unit, the total volume is just the total number of cubes.
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1)
This shape has:
- Bottom layer: 3 cubes (in an L-shape)
- Top layer: 1 cube stacked on top of one of the bottom cubes
Total = 3 + 1 =
4 cubes
✔ Volume: 4 cubes
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2)
This is a straight vertical tower of 4 cubes stacked one on top of another.
Total =
4 cubes
✔ Volume: 4 cubes
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3)
This is a 2×2×2 cube (like a Rubik’s cube).
Each layer has 2×2 = 4 cubes, and there are 2 layers.
Total = 4 × 2 =
8 cubes
✔ Volume: 8 cubes
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4)
Let’s count layer by layer:
- Bottom layer: 3 cubes (L-shape)
- Top layer: 2 cubes stacked on two of the bottom cubes
Total = 3 + 2 =
5 cubes
✔ Volume: 5 cubes
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5)
This is a 2×2×3 rectangular prism (2 wide, 2 deep, 3 high).
Each layer has 2×2 = 4 cubes, and there are 3 layers.
Total = 4 × 3 =
12 cubes
✔ Volume: 12 cubes
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6)
This shape looks like a 2×2×4 tower with one cube missing from the top layer.
- Total if complete: 2×2×4 = 16 cubes
- But the top layer has only 3 cubes (missing one)
So: 2×2×3 = 12 (bottom 3 layers) + 3 (top layer) =
15 cubes
✔ Volume: 15 cubes
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7)
This is a 2×3×2 rectangular prism with one cube missing.
- Full volume: 2×3×2 = 12
- Missing 1 cube → 12 - 1 =
11 cubes
✔ Volume: 11 cubes
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8)
This is a 2×2×3 rectangular prism — same as #5.
Each layer: 2×2 = 4 cubes; 3 layers → 4 × 3 =
12 cubes
✔ Volume: 12 cubes
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9)
This is a flat 2×3×1 rectangular prism (only one layer high).
Total = 2 × 3 =
6 cubes
✔ Volume: 6 cubes
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✔ Final Answers:
1)
4
2)
4
3)
8
4)
5
5)
12
6)
15
7)
11
8)
12
9)
6
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Let me know if you’d like a visual breakdown or explanation for any specific shape!
Parent Tip: Review the logic above to help your child master the concept of volume of cubes worksheet.
