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

336 squares
336 squares

416 squares
416 squares

400 squares

1 answer

To find the total number of 1-inch squares Anna can cut from the cereal box, we need to calculate the volume of the rectangular prism.

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

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

Given the dimensions of the box:

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

Now, we can calculate the volume:

\[ V = 10 , \text{in} \times 4 , \text{in} \times 12 , \text{in} = 480 , \text{in}^3 \]

Since each small square has an area of \( 1 , \text{in}^2 \) and the volume of the box is \( 480 , \text{in}^3 \), we can fit 480 squares into the box.

None of the options provided (336 squares, 416 squares, 400 squares) matches the correct answer. The correct number of squares Anna can cut from the cereal box is 480 squares.