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- Thread starter Yoda13
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In summary, the conversation is discussing how to express the volume of a set of points that are within a certain distance of a solid box. This volume can be calculated by adding the surface area of the box (2lw + 2hw + 2lh) to the volume of a unit sphere (4/3*pi) multiplied by the height of the box (H) and the length (L) and width (W) of the box. The conversation also mentions the difficulty in calculating the volume for points inside the box at a specific distance, and the possibility of constructing a function to find this volume. Finally, the conversation clarifies the presence of additional terms (l(pi) + h(pi) + w(pi)) due to the

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lwh+2lw+2hw+2lh+h(pi)+l(pi)+w(pi)

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[tex]L W H+2L W+2H W+2L H+\pi H+\pi L+\pi W + \frac{4}{3}\pi[/tex]

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o right, i forgot about the corners, thanks

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