To determine how many 1 in. squares Anna can cut from the rectangular prism cereal box, we first need to calculate the volume of the box and then see how many 1 in. squares fit into that volume.
The volume \( V \) of a rectangular prism is calculated as: \[ V = \text{length} \times \text{width} \times \text{height} \]
In this case, the dimensions of the box are:
- Length = 10 in.
- Width = 4 in.
- Height = 12 in.
Now we can calculate the volume: \[ V = 10 , \text{in} \times 4 , \text{in} \times 12 , \text{in} = 480 , \text{in}^3 \]
Since each square has a volume of \( 1 , \text{in}^3 \) (because it has a side length of 1 in.), the number of 1 in. squares that can be cut from the box is equal to the volume of the box: \[ \text{Number of squares} = 480 , \text{in}^3 \]
Therefore, Anna can cut 480 squares from the box.
Since none of the provided options match this calculation, there might be an error in the problem or the options provided. However, based on the calculations, the correct answer is 480 squares.
1 answer