Anna is cutting a cereal box into small squares with a side length of 1 in. How many squares can she cut if the box is a rectangular prism with a length of 10 in., a width of 4 in., and a height of 12 in.?(1 point)

Responses

416 squares
416 squares

408 squares
408 squares

400 squares
400 squares

336 squares
336 squares

1 answer

To determine how many 1-inch squares Anna can cut from the cereal box, we first need to calculate the volume of the rectangular prism shaped cereal box.

The volume \( V \) of a rectangular prism is given by the formula:

\[ V = \text{length} \times \text{width} \times \text{height} \]

Given the dimensions of the box:

  • Length = 10 inches
  • Width = 4 inches
  • Height = 12 inches

Now, we calculate the volume:

\[ V = 10 , \text{in} \times 4 , \text{in} \times 12 , \text{in} = 480 , \text{cubic inches} \]

Since each small square has an area of \( 1 , \text{in}^2 \) (since it is 1 inch by 1 inch), we can conclude that the number of 1-inch squares that can be cut from the box is equal to the volume in cubic inches.

Thus, Anna can cut out:

\[ 480 \text{ squares} \]

However, there is no "480 squares" option in your list of responses. It appears there might be a misunderstanding regarding the choices. Based on the calculation:

Total number of squares = 480 squares

Let me know if you need additional information or help!