https://file.aiquickdraw.com/mathbot/file/1725546103830sr705vkv.jpg

The image contains a composite figure consisting of two rectangular prisms stacked on top of each other. The dimensions for the two prisms are given as follows:

- The bottom prism has dimensions \(8 \, \text{cm} \times 8 \, \text{cm} \times 5 \, \text{cm}\).
- The top prism has dimensions \(8 \, \text{cm} \times 5 \, \text{cm} \times 3 \, \text{cm}\).

### To find the total volume of the figure:
1. **Volume of the bottom prism:**
   \[
   V_1 = \text{length} \times \text{width} \times \text{height} = 8 \, \text{cm} \times 8 \, \text{cm} \times 5 \, \text{cm} = 320 \, \text{cm}^3
   \]

2. **Volume of the top prism:**
   \[
   V_2 = \text{length} \times \text{width} \times \text{height} = 8 \, \text{cm} \times 5 \, \text{cm} \times 3 \, \text{cm} = 120 \, \text{cm}^3
   \]

3. **Total volume of the figure:**
   \[
   V_{\text{total}} = V_1 + V_2 = 320 \, \text{cm}^3 + 120 \, \text{cm}^3 = 440 \, \text{cm}^3
   \]

So, the total volume of the figure is **440 cubic centimeters**.

Would you like further details or have any questions?

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Here are 5 related questions for further practice:
1. How would the volume change if the height of the top prism were doubled?
2. Can you calculate the surface area of the composite figure?
3. How would you calculate the volume if the dimensions were given in meters?
4. If the bottom prism had a different shape, how would that affect the total volume?
5. What is the total volume if the two prisms were arranged side by side instead of stacked?

**Tip:** To find the volume of composite shapes, always break them down into simpler shapes (like prisms or cylinders) and sum up their individual volumes!

What is the volume of the composite figure consisting of two rectangular prisms, with the bottom prism measuring 8 cm × 8 cm × 5 cm and the top prism measuring 8 cm × 5 cm × 3 cm?

Learn how to calculate the total volume of a composite figure made of two rectangular prisms with dimensions 8 cm × 8 cm × 5 cm and 8 cm × 5 cm × 3 cm. This math problem is ideal for students in Grades 5-7 and covers essential concepts in finding volumes of composite shapes.

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