To find the volume of the figure, we need to calculate the volume of each rectangular prism separately and then add them together.

Step 1: Volume of the Blue Rectangular Prism

The blue prism has dimensions:

• Length = 7 meters
• Width = 1 meter
• Height = 2 meters

Using the volume formula for a rectangular prism:
$V = \text{length} \times \text{width} \times \text{height}$ $V = 7 \times 1 \times 2 = 14 \text{ cubic meters}$

Step 2: Volume of the Pink Rectangular Prism

The pink prism has dimensions:

• Length = 7 meters
• Width = 5 meters
• Height = 8 meters

Using the volume formula:
$V = 7 \times 5 \times 8$ $V = 7 \times 40 = 280 \text{ cubic meters}$

Step 3: Adding the Volumes

$14 + 280 = 294 \text{ cubic meters}$

Thus, the correct expression to find the volume is: $\blueE{14} \text{ cubic meters}+\maroonE{280}\text{ cubic meters}$

Correct Answer:

✅ Choice D
$\blueE{14} \text{ cubic meters}+\maroonE{280}\text{ cubic meters}$

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Would you like a more detailed breakdown? Here are some related questions to think about:

1. How do you calculate the volume of a composite shape made of multiple prisms?
2. What happens to the total volume if one of the prism's dimensions is doubled?
3. How do surface area calculations differ from volume calculations?
4. Can a rectangular prism have the same volume but different surface areas?
5. How does changing one dimension of a prism affect its overall volume?

Tip

When working with composite shapes, always break them into simpler parts (e.g., individual prisms), find their volumes separately, and then sum them up.