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## Main Question or Discussion Point

Let B be a solid box with length L, width W, and height H. Let S be the set of all points that are a distance at most 1 from some point of B. Express the volume of S in terms of L,W, and H. Have fun.

- Thread starter Yoda13
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Let B be a solid box with length L, width W, and height H. Let S be the set of all points that are a distance at most 1 from some point of B. Express the volume of S in terms of L,W, and H. Have fun.

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

Last edited:

- #3

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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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saltydog

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o right, i forgot about the corners, thanks

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