To find the volume \( V \) of a rectangular box, you can use the formula:
\[ V = \text{length} \times \text{width} \times \text{height} \]
Given:
- Height \( h = \frac{3}{4} \) ft
- Length \( l = \frac{1}{2} \) ft
- Width \( w = \frac{1}{2} \) ft
Now plug these values into the volume formula:
\[ V = \left(\frac{1}{2}\right) \times \left(\frac{1}{2}\right) \times \left(\frac{3}{4}\right) \]
First, calculate \( \left(\frac{1}{2} \times \frac{1}{2}\right) \):
\[ \frac{1}{2} \times \frac{1}{2} = \frac{1 \times 1}{2 \times 2} = \frac{1}{4} \]
Now multiply this result by the height:
\[ V = \frac{1}{4} \times \frac{3}{4} \]
To multiply these fractions, multiply the numerators and the denominators:
\[ V = \frac{1 \times 3}{4 \times 4} = \frac{3}{16} \]
So, the volume of the cereal box is:
\[ \frac{3}{16} \text{ ft}^3 \]
The correct answer is:
3/16 ft³ (Start Fraction 3 over 16 end fraction ft cubed)