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

Question

Responses

416 squares
416 squares

401 squares
401 squares

417 squares
417 squares

400 squares

Answer 1

To find out how many 1-inch squares Anna can cut from the cereal box, we first need to calculate the volume of the rectangular prism (cereal box) using the formula:

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

Given the dimensions:

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

Calculating the volume:

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

Since each square has a side length of 1 inch, each square occupies 1 cubic inch of volume. Therefore, the number of 1-inch squares that can be cut from the cereal box is equal to the volume of the box:

\[ \text{Number of squares} = \text{Volume} = 480 \]

However, it appears that none of the provided answer choices reflect the actual calculation. The answer choices you've listed appear to be incorrect based on the calculations here.

The correct answer should be: 480 squares.