Math worksheet for calculating the volume of compound solids.

It looks like you've uploaded an image of a worksheet titled "Compound Solids" that asks students to find the volume of each compound solid. Since I can't view images directly, I’ll help you solve this type of problem based on typical compound solids found in such worksheets.

Let’s assume the worksheet contains several 3D shapes made up of two or more rectangular prisms (cubes or boxes) joined together. The goal is to calculate the total volume by breaking each shape into simpler parts, calculating their volumes individually, and then adding them.

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🔷 General Steps to Solve:

1. Break the compound solid into smaller, simpler rectangular prisms.
2. Find the volume of each prism using the formula:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
3. Add the volumes of all individual prisms.

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Let me walk through a hypothetical example based on common layouts in such worksheets:

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🧱 Example Problem (Typical Shape)

Suppose one figure looks like this:

- A large box with dimensions: 5 cm × 4 cm × 3 cm
- On top of it, a smaller box sits: 3 cm × 2 cm × 2 cm

#### Step 1: Volume of larger box
\[
V_1 = 5 \times 4 \times 3 = 60 \text{ cm}^3
\]

#### Step 2: Volume of smaller box
\[
V_2 = 3 \times 2 \times 2 = 12 \text{ cm}^3
\]

#### Step 3: Total Volume
\[
V_{\text{total}} = 60 + 12 = 72 \text{ cm}^3
\]

✔ So, the volume of the compound solid is 72 cm³.

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Now, let’s suppose your worksheet has six figures, and here are some likely configurations:

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🔹 Figure 1: Single Rectangular Prism

Dimensions: 6 cm × 3 cm × 4 cm
\[
V = 6 \times 3 \times 4 = 72 \text{ cm}^3
\]

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🔹 Figure 2: Two Boxes Stacked

Bottom: 5 × 4 × 3 = 60
Top: 5 × 2 × 2 = 20
Total: 60 + 20 = 80 cm³

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🔹 Figure 3: L-shaped Solid

Split into two:
- Left part: 3 × 3 × 4 = 36
- Right part: 3 × 2 × 4 = 24
Total: 36 + 24 = 60 cm³

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🔹 Figure 4: T-shaped Solid

- Base: 6 × 2 × 3 = 36
- Top center: 2 × 2 × 3 = 12
Total: 36 + 12 = 48 cm³

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🔹 Figure 5: Box with a Cutout?

Wait — if it's compound, it's usually added, not subtracted. But sometimes it might have a missing piece. In that case, you’d subtract.

But typically, these are joined blocks, so we add.

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🔹 Figure 6: Two cubes side by side

Each cube: 4 × 4 × 4 = 64
Two cubes: 64 × 2 = 128 cm³

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✔ Final Answer Format (for your worksheet):

| Figure | Volume |
|--------|--------|
| 1 | 72 cm³ |
| 2 | 80 cm³ |
| 3 | 60 cm³ |
| 4 | 48 cm³ |
| 5 | ??? |
| 6 | 128 cm³ |

> ⚠️ Note: Without seeing the actual image, I can’t give exact values. But if you describe each figure, I can compute the correct volumes.

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🛠 How You Can Help Me Solve It Accurately:

Please describe each figure in words, like:

> "Figure 1: A big box 5×3×4, with a small box 2×3×2 sitting on top."

Or:

> "Figure 3: An L-shape made of two rectangles: one 3×3×4 and another 3×2×4 attached to the side."

Then I’ll compute the exact volumes for you.

Alternatively, if you can type the dimensions shown in each figure, I’ll do the math!

Let me know!