To find the volume of Pool A, which is composed of two rectangular prisms, we can calculate the volume of each prism separately and then add them together. The formula for the volume of a rectangular prism is:

$\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$

For the first section (larger prism):

• Length = 12 ft
• Width = 8 ft
• Height = 4 ft

$\text{Volume} = 12 \times 8 \times 4 = 384 \, \text{cubic feet}$

For the second section (smaller prism):

• Length = 8 ft
• Width = 6 ft
• Height = 4 ft

$\text{Volume} = 8 \times 6 \times 4 = 192 \, \text{cubic feet}$

Total volume:

Now, we sum the volumes of the two sections:

$\text{Total Volume} = 384 + 192 = 576 \, \text{cubic feet}$

So, the addition expression that could be used to determine the volume of Pool A is:

$(12 \times 8 \times 4) + (8 \times 6 \times 4)$

Would you like further details or clarification on this?

Here are 5 related questions you could explore:

1. How do you calculate the surface area of Pool A?
2. How would the volume change if the height were increased by 2 feet?
3. What is the total perimeter of Pool A if treated as one combined structure?
4. How could you design a pool with a volume of 600 cubic feet using similar shapes?
5. How would the volume calculation change if Pool A had a slope instead of flat surfaces?

Tip: When calculating the volume of a composite shape, break it down into smaller, simpler sections to ensure accuracy.