Math worksheet for calculating the volume of rectangular prisms with given dimensions.

Let's solve each of these rectangular prism volume problems step by step.

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🔷 Formula for Volume of a Rectangular Prism:

$$
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
$$

We’ll calculate the volume for each shape, making sure to include units.

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1. First Row

#### Prism 1:
- Dimensions: 4 in × 3 in × 6 in
$$
V = 4 \times 3 \times 6 = 72 \text{ in}^3
$$

#### Prism 2:
- Dimensions: 8 ft × 2 ft × 3 ft
$$
V = 8 \times 2 \times 3 = 48 \text{ ft}^3
$$

#### Prism 3:
- Dimensions: 5 in × 5 in × 5 in (This is a cube)
$$
V = 5 \times 5 \times 5 = 125 \text{ in}^3
$$

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2. Second Row

#### Prism 4:
- Dimensions: 5 yd × 4 yd × 4 yd
$$
V = 5 \times 4 \times 4 = 80 \text{ yd}^3
$$

#### Prism 5:
- Dimensions: 5 in × 2 in × 8 in
$$
V = 5 \times 2 \times 8 = 80 \text{ in}^3
$$

#### Prism 6:
- Dimensions: 3 ft × 3 ft × 10 ft
$$
V = 3 \times 3 \times 10 = 90 \text{ ft}^3
$$

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3. Third Row

#### Prism 7:
- Dimensions: 7 yd × 4 yd × 5 yd
$$
V = 7 \times 4 \times 5 = 140 \text{ yd}^3
$$

#### Prism 8:
- Dimensions: 4 ft × 4 ft × 4 ft (Cube)
$$
V = 4 \times 4 \times 4 = 64 \text{ ft}^3
$$

#### Prism 9:
- Dimensions: 8 in × 2 in × 4 in
$$
V = 8 \times 2 \times 4 = 64 \text{ in}^3
$$

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✔ Final Answers:

| Prism | Volume |
|------|--------|
| 1 | 72 in³ |
| 2 | 48 ft³ |
| 3 | 125 in³ |
| 4 | 80 yd³ |
| 5 | 80 in³ |
| 6 | 90 ft³ |
| 7 | 140 yd³ |
| 8 | 64 ft³ |
| 9 | 64 in³ |

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📝 Explanation:

- Always multiply the three dimensions: length × width × height.
- Make sure to keep the units consistent and include the unit cubed (e.g., in³, ft³).
- The shapes are not to scale, so trust the labeled measurements.

Let me know if you'd like this formatted as a printable answer sheet!