Question

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

401 squares
401 squares

416 squares
416 squares

400 squares
400 squares

417 squares

Answer 1

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, which represents the total number of 1-inch cubes (or squares in this context, since she is cutting it into squares).

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

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

Given:
- Length = 10 inches
- Width = 4 inches
- Height = 12 inches

Now, we can calculate the volume:

\[
V = 10 \times 4 \times 12
\]

Calculating step-by-step:

1. \( 10 \times 4 = 40 \)
2. \( 40 \times 12 = 480 \)

Thus, the volume of the cereal box is 480 cubic inches, which means Anna can cut out 480 squares of 1-inch x 1-inch.

However, the provided options do not include 480. Let's check the choices given:

- 401 squares
- 416 squares
- 400 squares
- 417 squares

Since none of the options match 480, it could be a misunderstanding. Based on the calculations, if each 1-inch square represents the volume, Anna can indeed cut out **480 squares**. If the task involves something other than straightforward volume computation or if the options were misinterpreted, clarifying that context would be important.

Assuming the options should reflect the correct calculation, the answer is **480 squares**. If we have to select from the given options, we have to conclude that there are possible errors in the options themselves.