To find out how many 1-inch squares Anna can cut from the cereal box, we need to calculate the volume of the rectangular prism and then understand how many 1-inch cubes can fit into that volume.
The volume \( V \) of a rectangular prism is calculated using the formula:
\[ V = \text{length} \times \text{width} \times \text{height} \]
For Anna's cereal box:
- Length = 10 inches
- Width = 4 inches
- Height = 12 inches
Now, substitute these values into the formula:
\[ V = 10 , \text{inches} \times 4 , \text{inches} \times 12 , \text{inches} \]
Calculating this gives:
\[ V = 10 \times 4 = 40 \] \[ V = 40 \times 12 = 480 , \text{cubic inches} \]
Since each 1-inch square (or cube) occupies 1 cubic inch, the total number of 1-inch squares Anna can cut out from the box is equal to the volume of the box.
Thus, she can cut out 480 squares.
None of the options provided (400, 408, 416, 336) are correct based on this calculation. The correct number is 480 squares.