Let $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}$ be three vectors such that $\|\mathbf{a}\| = \|\mathbf{b}\| = \|\mathbf{c}\| = 2.$  Also, the angle between any two of these vectors is $\arccos \frac{5}{8}.$  Find the volume of the parallelepiped generated by $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}$ be three vectors such that $\|\mathbf{a}\| = \|\mathbf{b}\| = \|\mathbf{c}\| = 2.$  Also, the angle between any two of these vectors is $\arccos \frac{5}{8}.$  Find the volume of the parallelepiped generated by $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{9}{2}
Let $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}$ be three vectors such that $\|\mathbf{a}\| = \|\mathbf{b}\| = \|\mathbf{c}\| = 2.$  Also, the angle between any two of these vectors is $\arccos \frac{5}{8}.$  Find the volume of the parallelepiped generated by $\mathbf{a},$ $\mathbf{b},$ and $\mathbf{c}.$
train