To find out how many 1-inch squares Anna can cut from the cereal box, we need to calculate the total volume of the rectangular prism (the cereal box) and then determine how many 1-inch cubes (since 1-inch squares are the base of a cube) can fit in that volume.
The volume \( V \) of a rectangular prism is calculated using the formula:
\[ V = \text{length} \times \text{width} \times \text{height} \]
Given the dimensions:
- Length = 10 in.
- Width = 4 in.
- Height = 12 in.
Now, we can substitute these values into the formula:
\[ V = 10 \times 4 \times 12 \]
Calculating this step-by-step:
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First, calculate the area of the base (length × width): \[ 10 \times 4 = 40 \text{ in}^2 \]
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Then, multiply by the height: \[ 40 \times 12 = 480 \text{ in}^3 \]
Since each 1-inch cube occupies 1 cubic inch, the total number of 1-inch squares or cubes that can be cut from the cereal box is equal to the volume of the box:
\[ \text{Number of 1-inch cubes} = 480 \]
Now, let's compare this with the available choices:
- 336 squares
- 400 squares
- 416 squares
- 408 squares
None of these options match 480. Please verify the dimensions or the understanding of the required calculation if I have interpreted your question incorrectly. However, based on the calculations provided, the correct number of 1-inch squares (cubes) that can be cut from the box is 480.