Let's solve each problem step by step using the formula for the
volume of a rectangular prism:
>
Volume = length × width × height
We'll go through each figure one by one.
---
1. Blue Prism
- Length = 4 ft
- Width = 4 ft
- Height = 4 ft
$$
\text{Volume} = 4 \times 4 \times 4 = 64 \text{ ft}^3
$$
✔ Answer: 64 ft³
---
2. Red Prism
- Length = 6 in
- Width = 3 in
- Height = 4 in
$$
\text{Volume} = 6 \times 3 \times 4 = 72 \text{ in}^3
$$
✔ Answer: 72 in³
---
3. Green Prism
- Length = 5 cm
- Width = 3 cm
- Height = 2 cm
$$
\text{Volume} = 5 \times 3 \times 2 = 30 \text{ cm}^3
$$
✔ Answer: 30 cm³
---
4. Cyan Prism
- Length = 8 m
- Width = 5 m
- Height = 2 m
$$
\text{Volume} = 8 \times 5 \times 2 = 80 \text{ m}^3
$$
✔ Answer: 80 m³
---
5. Orange Prism
- Length = 10 in
- Width = 5.5 in
- Height = 2 in
$$
\text{Volume} = 10 \times 5.5 \times 2 = 110 \text{ in}^3
$$
✔ Answer: 110 in³
---
6. Purple Prism
- Length = 7 ft
- Width = 7 ft
- Height = 7 ft
$$
\text{Volume} = 7 \times 7 \times 7 = 343 \text{ ft}^3
$$
✔ Answer: 343 ft³
---
✔ Final Answers:
1.
64 ft³
2.
72 in³
3.
30 cm³
4.
80 m³
5.
110 in³
6.
343 ft³
Each volume is calculated by multiplying the three dimensions (length, width, height), and the units are cubed (e.g., ft³, in³, etc.).
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 worksheets.