Volume Cubes - Worksheets - Free Printable

To solve the problem of finding the volume of each shape in the image, we need to count the number of individual cubic units (each representing 1 cubic cm or \(1 \, \text{cm}^3\)) that make up each shape. The volume is simply the total count of these cubic units.

Step-by-Step Solution:

#### Shape a:
- The shape is a rectangular prism.
- Count the cubes:
- There are 2 rows and 5 columns.
- Total cubes = \(2 \times 5 = 10\).
- Volume = \(10 \, \text{cm}^3\).

#### Shape b:
- The shape is a rectangular prism with a small section removed.
- Count the cubes:
- There are 3 rows and 4 columns.
- Total cubes = \(3 \times 4 = 12\).
- Volume = \(12 \, \text{cm}^3\).

#### Shape c:
- The shape is a rectangular prism.
- Count the cubes:
- There are 3 rows, 4 columns, and 2 layers.
- Total cubes = \(3 \times 4 \times 2 = 24\).
- Volume = \(24 \, \text{cm}^3\).

#### Shape d:
- The shape is a rectangular prism with a small section removed.
- Count the cubes:
- There are 3 rows and 4 columns.
- Total cubes = \(3 \times 4 = 12\).
- Volume = \(12 \, \text{cm}^3\).

#### Shape e:
- The shape is a rectangular prism.
- Count the cubes:
- There are 4 rows, 3 columns, and 2 layers.
- Total cubes = \(4 \times 3 \times 2 = 24\).
- Volume = \(24 \, \text{cm}^3\).

#### Shape f:
- The shape is an irregular solid.
- Count the cubes:
- Bottom layer: 6 cubes.
- Top layer: 4 cubes.
- Total cubes = \(6 + 4 = 10\).
- Volume = \(10 \, \text{cm}^3\).

#### Shape g:
- The shape is an irregular solid.
- Count the cubes:
- Bottom layer: 6 cubes.
- Middle layer: 4 cubes.
- Top layer: 2 cubes.
- Total cubes = \(6 + 4 + 2 = 12\).
- Volume = \(12 \, \text{cm}^3\).

#### Shape h:
- The shape is an irregular solid.
- Count the cubes:
- Bottom layer: 6 cubes.
- Middle layer: 4 cubes.
- Top layer: 2 cubes.
- Total cubes = \(6 + 4 + 2 = 12\).
- Volume = \(12 \, \text{cm}^3\).

#### Shape i:
- The shape is a cube.
- Count the cubes:
- Each side has 3 cubes.
- Total cubes = \(3 \times 3 \times 3 = 27\).
- Volume = \(27 \, \text{cm}^3\).

#### Shape j:
- The shape is an irregular solid.
- Count the cubes:
- Bottom layer: 6 cubes.
- Top layer: 3 cubes.
- Total cubes = \(6 + 3 = 9\).
- Volume = \(9 \, \text{cm}^3\).

#### Shape k:
- The shape is an irregular solid.
- Count the cubes:
- Bottom layer: 6 cubes.
- Top layer: 3 cubes.
- Total cubes = \(6 + 3 = 9\).
- Volume = \(9 \, \text{cm}^3\).

#### Shape l:
- The shape is a rectangular prism.
- Count the cubes:
- There are 3 rows, 3 columns, and 2 layers.
- Total cubes = \(3 \times 3 \times 2 = 18\).
- Volume = \(18 \, \text{cm}^3\).

Final Answer:

\[
\boxed{
\begin{array}{ll}
a. & 10 \, \text{cm}^3 \\
b. & 12 \, \text{cm}^3 \\
c. & 24 \, \text{cm}^3 \\
d. & 12 \, \text{cm}^3 \\
e. & 24 \, \text{cm}^3 \\
f. & 10 \, \text{cm}^3 \\
g. & 12 \, \text{cm}^3 \\
h. & 12 \, \text{cm}^3 \\
i. & 27 \, \text{cm}^3 \\
j. & 9 \, \text{cm}^3 \\
k. & 9 \, \text{cm}^3 \\
l. & 18 \, \text{cm}^3 \\
\end{array}
}
\]