Volume of a Rectangular Prism Worksheets - Free Printable

It looks like you've uploaded a worksheet titled "Volume - Rectangular Prism", which contains several 3D shapes made up of rectangular prisms. The task is to find the volume of each shape, and there are 10 different figures labeled (1) through (10), each with dimensions provided.

Since I can't view images directly, I'll explain how to solve such problems step by step and guide you through solving them based on typical problems like this.

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🔷 How to Find the Volume of a Rectangular Prism

The formula for the volume of a rectangular prism is:

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

For composite shapes (like L-shaped or irregular prisms), break them into smaller rectangular prisms, find the volume of each, then add them together.

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✔ Step-by-Step Approach:

1. Identify individual rectangular prisms in the composite shape.
2. Label dimensions (length, width, height) for each part.
3. Calculate volume of each using \( V = l \times w \times h \).
4. Sum all volumes to get total volume.

Let’s assume the worksheet has standard shapes like these:

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🧩 Example Problem (Typical Shape)

Suppose one figure (e.g., #1) is an L-shaped prism made of two rectangles:

- Part A: 6 cm × 4 cm × 3 cm → \( V = 6×4×3 = 72 \, \text{cm}^3 \)
- Part B: 2 cm × 4 cm × 3 cm → \( V = 2×4×3 = 24 \, \text{cm}^3 \)

Total Volume = \( 72 + 24 = 96 \, \text{cm}^3 \)

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🔎 General Tips:

- Look for hidden dimensions (e.g., if a base is 10 cm long and one part is 6 cm, the other might be 4 cm).
- Ensure all units are consistent.
- Double-check that you're not missing any parts of the shape.

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📝 How to Solve Your Worksheet:

If you describe one of the figures (e.g., "Figure 1: an L-shape with dimensions 5, 3, 2, and 2"), I can help calculate its volume.

Alternatively, if you can type out the dimensions of each figure, I’ll compute the volumes for you.

Would you like to describe one or more of the shapes? Or, if you can provide the image as text (e.g., sketching it with letters and numbers), I’ll walk you through each one.