To determine the volume of the box, we will follow these steps:
1. Identify the dimensions of the box:
[tex]\[
\text{Length} (l) = 19 \text{ inches}
\][/tex]
[tex]\[
\text{Width} (w) = 1.7 \text{ feet}
\][/tex]
[tex]\[
\text{Height} (h) = 6 \text{ inches}
\][/tex]
2. Convert the width from feet to inches:
Since 1 foot is equal to 12 inches, we convert the width to inches by multiplying by 12:
[tex]\[
\text{Width in inches} = 1.7 \, \text{feet} \times 12 \, \text{inches/foot} = 20.4 \, \text{inches}
\][/tex]
3. Calculate the volume using the formula [tex]\( V = l \cdot w \cdot h \)[/tex]:
Substituting the values we have:
[tex]\[
V = 19 \, \text{inches} \times 20.4 \, \text{inches} \times 6 \, \text{inches}
\][/tex]
4. Multiply the dimensions to find the volume:
[tex]\[
V = 19 \times 20.4 \times 6 = 2325.6 \, \text{cubic inches}
\][/tex]
Therefore, the volume of the box is:
[tex]\[
2325.6 \, \text{cubic inches}
\][/tex]
So, the correct answer is:
[tex]\[
2325.6 \, \text{cubic inches}
\][/tex]
