Volume of a Rectangular Prism Worksheets - Free Printable

To solve the problem of finding the volume of each rectangular prism in the image, we need to follow these steps:

Step 1: Understand the formula for the volume of a rectangular prism

The volume \( V \) of a rectangular prism is given by:
\[
V = \text{length} \times \text{width} \times \text{height}
\]

Step 2: Analyze each shape

Each shape in the image appears to be composed of smaller rectangular prisms. To find the total volume of each shape, we need to:
1. Identify the dimensions (length, width, and height) of each smaller rectangular prism.
2. Calculate the volume of each smaller rectangular prism using the formula.
3. Sum the volumes of all the smaller rectangular prisms that make up the entire shape.

Step 3: Solve for each shape

Let's go through each shape step by step. Since the image is not directly visible here, I will describe a general approach for solving such problems. If you provide specific dimensions for any shape, I can calculate the exact volume.

#### Example Calculation for a Shape
Suppose one of the shapes is composed of two smaller rectangular prisms:
- Prism 1: Dimensions are \( l_1 = 5 \) units, \( w_1 = 3 \) units, \( h_1 = 2 \) units.
- Prism 2: Dimensions are \( l_2 = 4 \) units, \( w_2 = 2 \) units, \( h_2 = 3 \) units.

Step 1: Calculate the volume of Prism 1:
\[
V_1 = l_1 \times w_1 \times h_1 = 5 \times 3 \times 2 = 30 \text{ cubic units}
\]

Step 2: Calculate the volume of Prism 2:
\[
V_2 = l_2 \times w_2 \times h_2 = 4 \times 2 \times 3 = 24 \text{ cubic units}
\]

Step 3: Sum the volumes of both prisms:
\[
V_{\text{total}} = V_1 + V_2 = 30 + 24 = 54 \text{ cubic units}
\]

General Approach for All Shapes

For each shape in the image:
1. Break it down into smaller rectangular prisms.
2. Identify the dimensions of each smaller prism.
3. Calculate the volume of each smaller prism.
4. Sum the volumes of all smaller prisms to get the total volume of the shape.

Final Answer

If you provide specific dimensions for any shape, I can calculate the exact volume. Otherwise, the general solution approach is as described above. For now, the final answer format is:

\[
\boxed{\text{Sum of volumes of all smaller prisms}}
\]

If you have specific dimensions or need help with a particular shape, please provide them, and I can assist further!