Let's solve the problem step by step.
We are asked to
find the volume of each rectangular prism. The formula for the volume of a rectangular prism is:
$$
\text{Volume} = \text{length} \times \text{width} \times \text{height}
$$
We'll go through each shape one by one and calculate its volume.
---
1. First Prism (Top Left)
- Dimensions: 3 cm × 2 cm × 4 cm
- Volume = $3 \times 2 \times 4 = 24$ cm³
✔ Volume = 24 cm³
---
2. Second Prism (Top Right)
- Dimensions: 8 cm × 2 cm × 5 cm
- Volume = $8 \times 2 \times 5 = 80$ cm³
✔ Volume = 80 cm³
---
3. Third Prism (Middle Left)
- Dimensions: 7 cm × 3 cm × 2 cm
- Volume = $7 \times 3 \times 2 = 42$ cm³
✔ Volume = 42 cm³
---
4. Fourth Prism (Middle Center)
- Dimensions: 6 cm × 6 cm × 6 cm
- This is a cube!
- Volume = $6 \times 6 \times 6 = 216$ cm³
✔ Volume = 216 cm³
---
5. Fifth Prism (Middle Right)
- Dimensions: 9 cm × 3 cm × 5 cm
- Volume = $9 \times 3 \times 5 = 135$ cm³
✔ Volume = 135 cm³
---
6. Sixth Prism (Bottom Left)
- Dimensions: 8 cm × 6 cm × 5 cm
- Volume = $8 \times 6 \times 5 = 240$ cm³
✔ Volume = 240 cm³
---
7. Seventh Prism (Bottom Middle)
- Dimensions: 12 cm × 4 cm × 3 cm
- Volume = $12 \times 4 \times 3 = 144$ cm³
✔ Volume = 144 cm³
---
8. Eighth Prism (Bottom Right)
- Dimensions: 8 cm × 2 cm × 2 cm
- Volume = $8 \times 2 \times 2 = 32$ cm³
✔ Volume = 32 cm³
---
✔ Final Answers:
| Shape | Volume |
|-------|--------|
| 1 | 24 cm³ |
| 2 | 80 cm³ |
| 3 | 42 cm³ |
| 4 | 216 cm³ |
| 5 | 135 cm³ |
| 6 | 240 cm³ |
| 7 | 144 cm³ |
| 8 | 32 cm³ |
> 💡
Note: All volumes are in
cubic centimeters (cm³) since all dimensions are in centimeters.
Let me know if you'd like this formatted as a printable worksheet or need help with another math topic!
Parent Tip: Review the logic above to help your child master the concept of volume worksheets.
