5th Grade Volume Worksheets - Free Printable

To solve this problem, we need to find the volume of each rectangular prism. The formula for the volume of a rectangular prism is:

$$
\text{Volume} = \text{length} \times \text{width} \times \text{height}
$$

All dimensions are in inches, so the volume will be in cubic inches (in³).

Let’s go through each shape one by one.

---

1. First Row

#### Shape 1: Cube
- Length = 2 in
- Width = 2 in
- Height = 2 in
$$
\text{Volume} = 2 \times 2 \times 2 = 8 \text{ in}^3
$$

#### Shape 2: Rectangular Prism
- Length = 6 in
- Width = 2 in
- Height = 2 in
$$
\text{Volume} = 6 \times 2 \times 2 = 24 \text{ in}^3
$$

#### Shape 3: Tall Rectangular Prism
- Length = 2 in
- Width = 1 in
- Height = 8 in
$$
\text{Volume} = 2 \times 1 \times 8 = 16 \text{ in}^3
$$

---

2. Second Row

#### Shape 4: Long Rectangular Prism
- Length = 7 in
- Width = 2 in
- Height = 2 in
$$
\text{Volume} = 7 \times 2 \times 2 = 28 \text{ in}^3
$$

#### Shape 5: Cube
- Length = 3 in
- Width = 3 in
- Height = 3 in
$$
\text{Volume} = 3 \times 3 \times 3 = 27 \text{ in}^3
$$

#### Shape 6: Square Base Prism
- Length = 3 in
- Width = 3 in
- Height = 5 in
$$
\text{Volume} = 3 \times 3 \times 5 = 45 \text{ in}^3
$$

---

3. Third Row

#### Shape 7: Rectangular Prism
- Length = 5 in
- Width = 3 in
- Height = 4 in
$$
\text{Volume} = 5 \times 3 \times 4 = 60 \text{ in}^3
$$

#### Shape 8: Thin Tall Prism
- Length = 2 in
- Width = 2 in
- Height = 10 in
$$
\text{Volume} = 2 \times 2 \times 10 = 40 \text{ in}^3
$$

#### Shape 9: Flat Rectangular Prism
- Length = 8 in
- Width = 2 in
- Height = 4 in
$$
\text{Volume} = 8 \times 2 \times 4 = 64 \text{ in}^3
$$

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✔ Final Answers:

| Shape | Volume |
|------|--------|
| 1 | 8 in³ |
| 2 | 24 in³ |
| 3 | 16 in³ |
| 4 | 28 in³ |
| 5 | 27 in³ |
| 6 | 45 in³ |
| 7 | 60 in³ |
| 8 | 40 in³ |
| 9 | 64 in³ |

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📝 Explanation:

We used the formula $ V = l \times w \times h $ for each prism. Even though the drawings are not to scale, the labeled dimensions give us all the information needed. Always multiply the three dimensions together — length, width, and height — to get the volume in cubic units.

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