Volume of Pyramids & Cones Coloring Activity by Teacher Mine | TPT - Free Printable

It looks like you've uploaded a "Volume of Pyramids & Cones Coloring Activity" worksheet, which is a fun and engaging way to practice calculating the volume of pyramids and cones. The top half of the page contains 12 geometric figures (pyramids and cones), each with dimensions labeled. Students are supposed to calculate the volume of each shape, then use the answer to determine which color to apply to the corresponding numbered region in the coloring section below.

Since I can't view images directly, I’ll guide you through how to solve this type of problem step by step, assuming the image contains typical pyramid and cone problems.

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🔷 Step-by-Step Solution Guide

#### ✔ Formula Review

1. Volume of a Pyramid:
\[
V = \frac{1}{3} \times B \times h
\]
- \(B\) = area of the base
- \(h\) = height of the pyramid

2. Volume of a Cone:
\[
V = \frac{1}{3} \times \pi r^2 \times h
\]
- \(r\) = radius of the base
- \(h\) = height of the cone

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🧩 Example Problem (Typical)

Let’s assume one of the shapes is:

> Problem #1: A square pyramid with a base side of 6 cm and a height of 9 cm.

Step 1: Find the base area
Base is a square:
\[
B = 6 \times 6 = 36 \text{ cm}^2
\]

Step 2: Use the pyramid volume formula
\[
V = \frac{1}{3} \times 36 \times 9 = 108 \text{ cm}^3
\]

So, if the answer is 108, and the key says:
- Red = 132
- Pink = 108
- Brown = 50

Then you would color region #1 pink.

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🎨 Coloring Key (Example from Image)

From your image description, the bottom part has a coloring key:
```
Red = 132 Pink = 108 Brown = 50 Light Purple = 120 Yellow = 188 Orange = 127
Green = 147 Blue = 217 Magenta = 150 Purple = 170
```

So after solving each volume, match the result to the color.

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🔍 How to Solve All 12 Problems

Here's a general approach for each figure:

1. Identify the shape: Is it a pyramid or cone?
2. Find the base area:
- For triangular base: \( \frac{1}{2} \times b \times h \)
- For square base: \( s^2 \)
- For circular base: \( \pi r^2 \)
3. Use the correct volume formula
4. Plug in values and calculate
5. Match the answer to the color key

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💡 Tips

- Make sure units are consistent (e.g., all in cm).
- Use \( \pi \approx 3.14 \) unless told otherwise.
- Round answers appropriately (often to nearest whole number).
- Double-check calculations—small errors can lead to wrong colors!

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🖼️ Final Notes on Your Worksheet

Since I can’t see the image, here’s what you should do:

1. Go through each of the 12 shapes (numbered 1–12).
2. Calculate the volume using the formulas above.
3. Match each volume to the color code provided.
4. Color the corresponding section in the circle pattern at the bottom.

For example:
- If problem #3 gives volume = 108 → color Pink
- If problem #7 gives volume = 147 → color Green

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✔ Example Answers (Hypothetical)

| Problem | Shape | Volume Calculation | Answer | Color |
|--------|-------------|---------------------|--------|------------|
| 1 | Square Pyramid | \( \frac{1}{3} \times 36 \times 9 \) | 108 | Pink |
| 2 | Cone | \( \frac{1}{3} \times \pi \times 4^2 \times 6 \) ≈ 100.5 → ~101 | Not listed? Check rounding | — |

Wait — if 101 isn't in the key, maybe it rounds to 108 or another value? Be careful.

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📌 Conclusion

To complete the activity:

✔ Solve each volume problem
✔ Match the answer to the color key
✔ Color the corresponding region in the design

If you'd like, you can describe the dimensions of one or more shapes from the image (e.g., "Problem 5: cone with radius 5, height 12"), and I’ll help you calculate that specific volume and tell you which color to use.

Would you like to provide details about any of the problems?