You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
A cube with a volume of 1 cubic foot is trimmed into three slices by making two cuts parallel to the top face. The first cut is located $\frac{1}{4}$ foot from the top face, and the second cut is $\frac{1}{6}$ foot below the first cut. The resulting pieces from top to bottom are labeled as A, B, and C, and then these slices are rearranged side by side horizontally. Calculate the total surface area of this new arrangement in square feet.
user
10
rule
A cube with a volume of 1 cubic foot is trimmed into three slices by making two cuts parallel to the top face. The first cut is located $\frac{1}{4}$ foot from the top face, and the second cut is $\frac{1}{6}$ foot below the first cut. The resulting pieces from top to bottom are labeled as A, B, and C, and then these slices are rearranged side by side horizontally. Calculate the total surface area of this new arrangement in square feet.
train