Volume of Compound Shapes Worksheets - Free Printable

It looks like you've uploaded a worksheet titled "Volume: Rectangular Prism", which asks students to find the volume of various 3D shapes, specifically rectangular prisms (and some composite shapes made up of rectangular prisms).

Since I can't view images directly, I’ll guide you on how to solve these types of problems and explain the method. If you can describe the dimensions or shapes in the image, I can help with specific calculations.

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🔷 How to Find the Volume of a Rectangular Prism

The formula for the volume of a rectangular prism is:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

Or:

\[
V = l \times w \times h
\]

Units are typically in cubic units (e.g., cm³, in³).

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🔷 For Composite Shapes (like L-shaped or irregular prisms)

If a shape is made of two or more rectangular prisms (like an "L" shape), break it down into simpler parts.

1. Divide the shape into smaller rectangular prisms.
2. Calculate the volume of each part.
3. Add the volumes together.

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✔ Example Problem (Typical on Such Sheets)

Suppose one shape looks like an "L" made of two rectangles:

- Part 1: 5 cm × 3 cm × 4 cm → Volume = \(5 \times 3 \times 4 = 60\) cm³
- Part 2: 2 cm × 3 cm × 4 cm → Volume = \(2 \times 3 \times 4 = 24\) cm³
- Total Volume = \(60 + 24 = 84\) cm³

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📌 Steps to Solve Your Worksheet

1. Look at each figure and identify if it’s a single rectangular prism or a composite shape.
2. Label the dimensions (length, width, height) from the drawing.
3. Apply the formula:
- For simple prisms: \(V = l \times w \times h\)
- For composite shapes: Break into parts → add volumes
4. Write the answer in the blank provided.

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🛠️ Tips

- Always check units — they should be consistent.
- Double-check your multiplication.
- Be careful with hidden dimensions (sometimes one side isn’t labeled but can be deduced).

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👉 If you can describe one or more of the figures (e.g., “Figure 1 is an L-shape with dimensions 6 cm, 4 cm, and 3 cm high”), I can walk you through solving it step by step.

Let me know!