To solve the problem, we need to count the number of individual cubes in each shape and write down the volume in cubic units. Let's go through each shape step by step.
Shape 1:
- The shape consists of 3 cubes stacked vertically.
- Volume: \(3\) cubic units.
Shape 2:
- The shape has a base of 2 cubes and one cube on top.
- Volume: \(3\) cubic units.
Shape 3:
- The shape is a larger cube with some additional cubes on top.
- Counting the cubes:
- Bottom layer: \(4 \times 3 = 12\) cubes
- Top layer: \(2\) cubes
- Total: \(12 + 2 = 14\) cubic units.
Shape 4:
- The shape is a stepped structure.
- Counting the cubes:
- Bottom layer: \(5\) cubes
- Middle layer: \(4\) cubes
- Top layer: \(3\) cubes
- Total: \(5 + 4 + 3 = 12\) cubic units.
Shape 5:
- The shape is a solid cube.
- Each side appears to have \(4\) cubes.
- Volume: \(4 \times 4 \times 4 = 64\) cubic units.
Shape 6:
- The shape is a vertical stack of 3 cubes.
- Volume: \(3\) cubic units.
Shape 7:
- The shape is a solid rectangular prism.
- Dimensions: \(4 \times 3 \times 3\)
- Volume: \(4 \times 3 \times 3 = 36\) cubic units.
Shape 8:
- The shape has a base of 2 cubes and one cube on top.
- Volume: \(3\) cubic units.
Shape 9:
- The shape is a stepped structure.
- Counting the cubes:
- Bottom layer: \(3 \times 3 = 9\) cubes
- Top layer: \(2\) cubes
- Total: \(9 + 2 = 11\) cubic units.
Shape 10:
- The shape has a base of 2 cubes and one cube on top.
- Volume: \(3\) cubic units.
Shape 11:
- The shape is a stepped structure.
- Counting the cubes:
- Bottom layer: \(4 \times 2 = 8\) cubes
- Middle layer: \(3\) cubes
- Top layer: \(2\) cubes
- Total: \(8 + 3 + 2 = 13\) cubic units.
Shape 12:
- The shape is a stepped structure.
- Counting the cubes:
- Bottom layer: \(4 \times 3 = 12\) cubes
- Middle layer: \(3 \times 2 = 6\) cubes
- Top layer: \(2\) cubes
- Total: \(12 + 6 + 2 = 20\) cubic units.
Final Answers:
1. \(3\) cubic units
2. \(3\) cubic units
3. \(14\) cubic units
4. \(12\) cubic units
5. \(64\) cubic units
6. \(3\) cubic units
7. \(36\) cubic units
8. \(3\) cubic units
9. \(11\) cubic units
10. \(3\) cubic units
11. \(13\) cubic units
12. \(20\) cubic units
\[
\boxed{3, 3, 14, 12, 64, 3, 36, 3, 11, 3, 13, 20}
\]
Parent Tip: Review the logic above to help your child master the concept of volume cubes worksheet.
