5th Grade Volume Worksheets - Free Printable

To solve the problem, we need to determine the length, width, and height of each rectangular prism from the given images and then calculate their volumes using the formula:

\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]

Step-by-Step Solution:

#### 1) First Rectangular Prism:
- Length: The length is the number of cubes along the longest side. From the image, the length is 4 cm.
- Width: The width is the number of cubes along the shorter side perpendicular to the length. From the image, the width is 1 cm.
- Height: The height is the number of cubes stacked vertically. From the image, the height is 3 cm.

Now, calculate the volume:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height} = 4 \times 1 \times 3 = 12 \, \text{cm}^3
\]

So, the answers are:
- Length: 4 cm
- Width: 1 cm
- Height: 3 cm
- Volume: 4 × 1 × 3 = 12 cm³

#### 2) Second Rectangular Prism:
- Length: The length is the number of cubes along the longest side. From the image, the length is 2 cm.
- Width: The width is the number of cubes along the shorter side perpendicular to the length. From the image, the width is 2 cm.
- Height: The height is the number of cubes stacked vertically. From the image, the height is 2 cm.

Now, calculate the volume:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height} = 2 \times 2 \times 2 = 8 \, \text{cm}^3
\]

So, the answers are:
- Length: 2 cm
- Width: 2 cm
- Height: 2 cm
- Volume: 2 × 2 × 2 = 8 cm³

#### 3) Third Rectangular Prism:
- Length: The length is the number of cubes along the longest side. From the image, the length is 3 cm.
- Width: The width is the number of cubes along the shorter side perpendicular to the length. From the image, the width is 2 cm.
- Height: The height is the number of cubes stacked vertically. From the image, the height is 2 cm.

Now, calculate the volume:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height} = 3 \times 2 \times 2 = 12 \, \text{cm}^3
\]

So, the answers are:
- Length: 3 cm
- Width: 2 cm
- Height: 2 cm
- Volume: 3 × 2 × 2 = 12 cm³

Final Answers:

1. Length: 4 cm, Width: 1 cm, Height: 3 cm, Volume: 4 × 1 × 3 = 12 cm³
2. Length: 2 cm, Width: 2 cm, Height: 2 cm, Volume: 2 × 2 × 2 = 8 cm³
3. Length: 3 cm, Width: 2 cm, Height: 2 cm, Volume: 3 × 2 × 2 = 12 cm³

\boxed{
\begin{array}{l}
1) \text{Length: } 4 \, \text{cm}, \text{Width: } 1 \, \text{cm}, \text{Height: } 3 \, \text{cm}, \text{Volume: } 4 \times 1 \times 3 = 12 \, \text{cm}^3 \\
2) \text{Length: } 2 \, \text{cm}, \text{Width: } 2 \, \text{cm}, \text{Height: } 2 \, \text{cm}, \text{Volume: } 2 \times 2 \times 2 = 8 \, \text{cm}^3 \\
3) \text{Length: } 3 \, \text{cm}, \text{Width: } 2 \, \text{cm}, \text{Height: } 2 \, \text{cm}, \text{Volume: } 3 \times 2 \times 2 = 12 \, \text{cm}^3
\end{array}
}