Volume of Compound Shapes Worksheets - Free Printable

Since I can't view or access images directly, I can't see the specific shapes or dimensions in your uploaded image. However, based on the description of the worksheet titled "Volume - Rectangular Prism", it appears to be a math exercise where you're asked to find the volume of composite 3D shapes made up of rectangular prisms.

Let me explain how to solve such problems step-by-step so you can apply it to each shape on your worksheet:

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🔷 Step-by-Step Guide to Find Volume of Composite Rectangular Prisms

#### ✔ Step 1: Understand the Formula
The volume \( V \) of a rectangular prism is:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
or
\[
V = l \times w \times h
\]

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#### ✔ Step 2: Break Down the Shape
Each figure on the worksheet is made of two or more rectangular prisms joined together (like an "L" shape or stacked blocks). You need to:
- Split the composite shape into individual rectangular prisms.
- Identify the length, width, and height of each part.

> 💡 Tip: Look for straight edges and right angles — these are clues that the shape can be divided cleanly.

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#### ✔ Step 3: Calculate Volume of Each Part
Use the formula \( V = l \times w \times h \) for each separate prism.

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#### ✔ Step 4: Add the Volumes Together
Sum up the volumes of all individual prisms to get the total volume.

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🧩 Example Problem (Illustrative)

Suppose one shape looks like an "L" made of two rectangles:
- Part A: 6 units long, 2 units wide, 3 units high
→ Volume = \(6 \times 2 \times 3 = 36\) cubic units
- Part B: 4 units long, 2 units wide, 3 units high
→ Volume = \(4 \times 2 \times 3 = 24\) cubic units

✔ Total Volume = \(36 + 24 = 60\) cubic units

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⚠️ Common Mistakes to Avoid

- Don’t forget to measure all dimensions correctly — especially if parts are overlapping or aligned differently.
- Never assume hidden dimensions — if a number isn't labeled, use subtraction from known lengths.
- Double-check whether any part is missing (e.g., a hole), but in this worksheet, they seem solid.

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✔ How to Use This for Your Worksheet

For each numbered figure (1–9):
1. Draw or mentally divide it into smaller rectangular prisms.
2. Label each part’s dimensions (use the grid or given numbers).
3. Compute each volume.
4. Add them up.

If you can describe one of the figures (e.g., “Figure 1 has a base of 5 cm, height 4 cm, and a vertical piece 3 cm tall and 2 cm wide”), I can help you calculate it specifically.

Would you like to describe one of the figures? I’ll walk you through solving it!