https://file.aiquickdraw.com/mathbot/file/17275210433013gy6wg6m.jpg

The image shows a composite 3D shape consisting of a cuboid on top of a cylinder.

### Steps to calculate the volume:

1. **Volume of the cuboid:**
   The formula for the volume of a cuboid is:
   \[
   V_{\text{cuboid}} = \text{length} \times \text{width} \times \text{height}
   \]
   In this case:
   - Length = 5 cm
   - Width = 5 cm
   - Height = 10 cm

2. **Volume of the cylinder:**
   The formula for the volume of a cylinder is:
   \[
   V_{\text{cylinder}} = \pi \times r^2 \times h
   \]
   Where:
   - Radius \( r = \frac{4}{2} = 2 \) cm (since the diameter is 4 cm)
   - Height \( h = 8 \) cm

Now, I will calculate the total volume by summing the volumes of the cuboid and the cylinder. Let me calculate that for you.The total volume of the composite shape is approximately **350.53 cm³**, rounded to two decimal places.

Would you like further details or have any questions?

Here are 5 related questions to further explore this topic:
1. How would the volume change if the height of the cuboid was increased by 2 cm?
2. What would be the volume if the cylinder's diameter was reduced to 3 cm?
3. How can you calculate the surface area of the same composite shape?
4. How would the total volume change if both the cuboid and cylinder heights were doubled?
5. How does the volume of a cylinder depend on its radius compared to its height?

**Tip:** When calculating volumes, always ensure the units are consistent for all dimensions.

Calculate the volume of the composite shape consisting of a cuboid on top of a cylinder. The cuboid has dimensions of 5 cm by 5 cm by 10 cm, and the cylinder has a diameter of 4 cm and a height of 8 cm. Provide your answer to two decimal places.

Learn how to calculate the volume of a composite shape with a cuboid and a cylinder. This example involves a cuboid with dimensions 5 cm × 5 cm × 10 cm and a cylinder with a diameter of 4 cm and height of 8 cm. Suitable for Grades 8-10 students.

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