Volume calculation worksheet featuring various 3D shapes with dimensions for students to compute volume.

To solve the problem, we need to calculate the volume of each figure shown in the image. The volume of a rectangular prism (or cube) is calculated using the formula:

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

Let's go through each figure step by step.

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Figure 1: Stacked Cubes

- The figure shows a stack of cubes.
- Each small cube appears to have a side length of 1 unit.
- There are 3 layers, with each layer containing 4 cubes.
- Total number of cubes = \(3 \times 4 = 12\).
- Volume of one cube = \(1 \times 1 \times 1 = 1\) cubic unit.
- Total volume = \(12 \times 1 = 12\) cubic units.

Answer: \(12\) cubic units.

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Figure 2: Blue Cube

- The side length of the cube is given as \(5 \, \text{cm}\).
- Volume of a cube = \(\text{side}^3\).
- Volume = \(5^3 = 5 \times 5 \times 5 = 125 \, \text{cm}^3\).

Answer: \(125 \, \text{cm}^3\).

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Figure 3: Red Rectangular Prism

- Dimensions are given as:
- Length = \(9 \, \text{in}\)
- Width = \(7 \, \text{in}\)
- Height = \(1 \, \text{in}\)
- Volume = \(\text{length} \times \text{width} \times \text{height}\).
- Volume = \(9 \times 7 \times 1 = 63 \, \text{in}^3\).

Answer: \(63 \, \text{in}^3\).

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Figure 4: Yellow Rectangular Prism

- Dimensions are given as:
- Length = \(11 \, \text{mm}\)
- Width = \(1 \, \text{mm}\)
- Height = \(1 \, \text{mm}\)
- Volume = \(\text{length} \times \text{width} \times \text{height}\).
- Volume = \(11 \times 1 \times 1 = 11 \, \text{mm}^3\).

Answer: \(11 \, \text{mm}^3\).

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Figure 5: Black Rectangular Prism

- Dimensions are given as:
- Length = \(6 \, \text{cm}\)
- Width = \(3 \, \text{cm}\)
- Height = \(3 \, \text{cm}\)
- Volume = \(\text{length} \times \text{width} \times \text{height}\).
- Volume = \(6 \times 3 \times 3 = 54 \, \text{cm}^3\).

Answer: \(54 \, \text{cm}^3\).

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Figure 6: Pink Rectangular Prism

- Dimensions are given as:
- Length = \(8 \, \text{mm}\)
- Width = \(6 \, \text{mm}\)
- Height = \(5 \, \text{mm}\)
- Volume = \(\text{length} \times \text{width} \times \text{height}\).
- Volume = \(8 \times 6 \times 5 = 240 \, \text{mm}^3\).

Answer: \(240 \, \text{mm}^3\).

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Figure 7: Brown Open Box

- Dimensions are given as:
- Length = \(6 \, \text{cm}\)
- Width = \(5 \, \text{cm}\)
- Height = \(4 \, \text{cm}\)
- Volume = \(\text{length} \times \text{width} \times \text{height}\).
- Volume = \(6 \times 5 \times 4 = 120 \, \text{cm}^3\).

Answer: \(120 \, \text{cm}^3\).

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Figure 8: Rubik's Cube

- The Rubik's Cube is a cube with a side length of \(4 \, \text{cm}\) (since each face is divided into 3 smaller squares, and the total side length is \(4 \, \text{cm}\)).
- Volume of a cube = \(\text{side}^3\).
- Volume = \(4^3 = 4 \times 4 \times 4 = 64 \, \text{cm}^3\).

Answer: \(64 \, \text{cm}^3\).

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Figure 9: Yellow Shipping Box

- Dimensions are given as:
- Length = \(4 \, \text{cm}\)
- Width = \(4 \, \text{cm}\)
- Height = \(4 \, \text{cm}\)
- Volume = \(\text{length} \times \text{width} \times \text{height}\).
- Volume = \(4 \times 4 \times 4 = 64 \, \text{cm}^3\).

Answer: \(64 \, \text{cm}^3\).

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Final Answers

1. \(12\) cubic units
2. \(125 \, \text{cm}^3\)
3. \(63 \, \text{in}^3\)
4. \(11 \, \text{mm}^3\)
5. \(54 \, \text{cm}^3\)
6. \(240 \, \text{mm}^3\)
7. \(120 \, \text{cm}^3\)
8. \(64 \, \text{cm}^3\)
9. \(64 \, \text{cm}^3\)

\[
\boxed{12, 125, 63, 11, 54, 240, 120, 64, 64}
\]