To determine the total number of cubes in each shape, we need to carefully analyze each figure and count the visible cubes. Let's go through each shape step by step.
---
Shape 1:
- The shape is a rectangular prism.
- Dimensions: 3 rows × 4 columns × 2 layers.
- Total cubes = \( 3 \times 4 \times 2 = 24 \).
Answer for Shape 1: \( 24 \)
---
Shape 2:
- The shape is a rectangular prism.
- Dimensions: 4 rows × 5 columns × 2 layers.
- Total cubes = \( 4 \times 5 \times 2 = 40 \).
Answer for Shape 2: \( 40 \)
---
Shape 3:
- The shape is a cube.
- Dimensions: 3 × 3 × 3.
- Total cubes = \( 3 \times 3 \times 3 = 27 \).
Answer for Shape 3: \( 27 \)
---
Shape 4:
- The shape is a rectangular prism.
- Dimensions: 3 rows × 4 columns × 2 layers.
- Total cubes = \( 3 \times 4 \times 2 = 24 \).
Answer for Shape 4: \( 24 \)
---
Shape 5:
- The shape is a rectangular prism.
- Dimensions: 4 rows × 4 columns × 3 layers.
- Total cubes = \( 4 \times 4 \times 3 = 48 \).
Answer for Shape 5: \( 48 \)
---
Shape 6:
- The shape is a cube.
- Dimensions: 3 × 3 × 3.
- Total cubes = \( 3 \times 3 \times 3 = 27 \).
Answer for Shape 6: \( 27 \)
---
Shape 7:
- The shape is a cube.
- Dimensions: 4 × 4 × 4.
- Total cubes = \( 4 \times 4 \times 4 = 64 \).
Answer for Shape 7: \( 64 \)
---
Shape 8:
- The shape is a rectangular prism.
- Dimensions: 3 rows × 3 columns × 2 layers.
- Total cubes = \( 3 \times 3 \times 2 = 18 \).
Answer for Shape 8: \( 18 \)
---
Final Answers:
1. \( 24 \)
2. \( 40 \)
3. \( 27 \)
4. \( 24 \)
5. \( 48 \)
6. \( 27 \)
7. \( 64 \)
8. \( 18 \)
\[
\boxed{24, 40, 27, 24, 48, 27, 64, 18}
\]
Parent Tip: Review the logic above to help your child master the concept of volume worksheet 5th grade.
