a movie theater uses popcorn boxes in the shape of a right rectangular prism. Each box has a length of 9 inches, a width of 4 inches, and a height of 12 inches. What is the volume of popcorn the box can hold? 1 point

1 answer

To find the volume of a right rectangular prism, you can use the formula:

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

Given the dimensions of the popcorn box:

  • Length = 9 inches
  • Width = 4 inches
  • Height = 12 inches

Now, substitute the values into the formula:

\[ \text{Volume} = 9 , \text{inches} \times 4 , \text{inches} \times 12 , \text{inches} \]

Calculating step-by-step:

  1. First, calculate \(9 \times 4\): \[ 9 \times 4 = 36 , \text{square inches} \]

  2. Next, multiply that result by 12: \[ 36 , \text{square inches} \times 12 , \text{inches} = 432 , \text{cubic inches} \]

Therefore, the volume of popcorn the box can hold is \(432\) cubic inches.