To calculate the volume of a rectangular box, you can use the formula:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
Given the dimensions of the cereal box:
- Height (h) = \( \frac{3}{4} \) ft
- Length (l) = \( \frac{1}{2} \) ft
- Width (w) = \( \frac{1}{2} \) ft
Substituting these values into the formula:
\[ \text{Volume} = \left(\frac{1}{2}\right) \times \left(\frac{1}{2}\right) \times \left(\frac{3}{4}\right) \]
First, calculate the length multiplied by the width:
\[ \left(\frac{1}{2}\right) \times \left(\frac{1}{2}\right) = \frac{1}{4} \]
Now, multiply this result by the height:
\[ \frac{1}{4} \times \frac{3}{4} = \frac{3}{16} \]
Thus, the volume of the cereal box is
\[ \frac{3}{16} , \text{ft}^3 \]
The correct response is:
3/16 ft.^3