To find the volume of the pasta box using the formula \( V = B \times h \), where \( B \) is the area of the base and \( h \) is the height, we first need to calculate the area of the base.
The base of the box can be considered as a rectangle with the following dimensions:
- Width = 12 in.
- Length = 212 in.
Step 1: Calculate the area of the base (B)
\[ B = \text{Length} \times \text{Width} = 212 , \text{in} \times 12 , \text{in} \] \[ B = 2544 , \text{in}^2 \]
Step 2: Calculate the volume (V)
Now, we need to apply the height of the box:
- Height = 812 in.
\[ V = B \times h = 2544 , \text{in}^2 \times 812 , \text{in} \] \[ V = 2069456 , \text{in}^3 \]
The volume of the box is \( 2069456 , \text{in}^3 \).
However, none of the provided answers match our computed volume. It is possible that there was a misunderstanding in the dimensions or responses. If you need further clarification or specific details, please let me know!