Let's solve each of these rectangular prism volume problems step by step. The formula for the
volume of a rectangular prism is:
$$
\text{Volume} = \text{length} \times \text{width} \times \text{height}
$$
We’ll compute the volume for each prism and make sure units are consistent.
---
Row 1
####
1. Prism with dimensions: 4 cm × 3 cm × 6 cm
$$
V = 4 \times 3 \times 6 = 72 \, \text{cm}^3
$$
####
2. Prism with dimensions: 8 mm × 2 mm × 3 mm
$$
V = 8 \times 2 \times 3 = 48 \, \text{mm}^3
$$
####
3. Prism with dimensions: 5 cm × 5 cm × 5 cm (cube)
$$
V = 5 \times 5 \times 5 = 125 \, \text{cm}^3
$$
---
Row 2
####
4. Prism with dimensions: 5 m × 4 m × 4 m
$$
V = 5 \times 4 \times 4 = 80 \, \text{m}^3
$$
####
5. Prism with dimensions: 5 cm × 2 cm × 8 cm
$$
V = 5 \times 2 \times 8 = 80 \, \text{cm}^3
$$
####
6. Prism with dimensions: 3 m × 3 m × 10 m
$$
V = 3 \times 3 \times 10 = 90 \, \text{m}^3
$$
---
Row 3
####
7. Prism with dimensions: 7 cm × 4 cm × 5 cm
$$
V = 7 \times 4 \times 5 = 140 \, \text{cm}^3
$$
####
8. Prism with dimensions: 4 mm × 4 mm × 4 mm (cube)
$$
V = 4 \times 4 \times 4 = 64 \, \text{mm}^3
$$
####
9. Prism with dimensions: 8 m × 2 m × 4 m
$$
V = 8 \times 2 \times 4 = 64 \, \text{m}^3
$$
---
✔ Final Answers:
| Prism | Volume |
|------|--------|
| 1 | 72 cm³ |
| 2 | 48 mm³ |
| 3 | 125 cm³ |
| 4 | 80 m³ |
| 5 | 80 cm³ |
| 6 | 90 m³ |
| 7 | 140 cm³ |
| 8 | 64 mm³ |
| 9 | 64 m³ |
---
📝 Explanation:
- Always multiply
length × width × height.
- Make sure to include the correct
unit cubed (e.g., cm³, mm³, m³).
- The prisms are not drawn to scale, so rely only on the labeled dimensions.
Let me know if you'd like this formatted as a completed worksheet!
Parent Tip: Review the logic above to help your child master the concept of volume of rectangular prisms worksheet.