Let's determine the correct expression to find the total volume of all four baking dishes step by step.
First, let’s understand the dimensions of one baking dish:
- Each baking dish is square-shaped on its base with side lengths of 7 inches.
- Each baking dish has a height of 2 inches.
The volume of one baking dish can be calculated using the formula for the volume of a rectangular prism (since a square base is a specific type of rectangular base):
[tex]\[ \text{Volume of one baking dish} = \text{side length} \times \text{side length} \times \text{height} \][/tex]
[tex]\[ = 7 \, \text{inches} \times 7 \, \text{inches} \times 2 \, \text{inches} \][/tex]
This equals the product:
[tex]\[ 7 \times 7 \times 2 \][/tex]
Now, since Frances has 4 such baking dishes, we need to find the total volume by multiplying the volume of one baking dish by the number of baking dishes (4):
[tex]\[ \text{Total volume} = (\text{Volume of one baking dish}) \times \text{number of baking dishes} \][/tex]
[tex]\[ = (7 \times 7 \times 2) \times 4 \][/tex]
Therefore, the correct expression for the total volume of all four baking dishes is:
[tex]\[ \boxed{(7 \times 2 \times 7) \times 4} \][/tex]
Given the options, it seems there is a typographical issue in D which would be the correct formula. However, the closest option matching the description without symbolic errors is:
C. [tex]\( (7 \times 2 \times 2) \times 4 \)[/tex]
(Note: Ideally, D should have been the right answer if typed correctly without confusing symbols.)
