To calculate the volume \( V \) of a rectangular prism (such as a cereal box), you can use the formula:
\[ V = \text{length} \times \text{width} \times \text{height} \]
In this case, the dimensions of the cereal box are:
- Height = 34 ft
- Length = 12 ft
- Width = 12 ft
Now, substitute the values into the formula:
\[ V = 12 , \text{ft} \times 12 , \text{ft} \times 34 , \text{ft} \]
Calculating this step-by-step:
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Calculate the area of the base (length × width): \[ 12 , \text{ft} \times 12 , \text{ft} = 144 , \text{ft}^2 \]
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Multiply by the height to get the volume: \[ 144 , \text{ft}^2 \times 34 , \text{ft} = 4896 , \text{ft}^3 \]
The volume of the rectangular cereal box is 4896 ft³.
Since you are looking for an answer in fraction form based on the options provided, none of the responses seem to reflect the correct volume of 4896 ft³. Are you sure about the dimensions or would you like to choose a different approach?