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Homework Statement
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.
Homework Equations
4/3(pi)r
The Attempt at a Solution
I have gotten to LWH+2LH+2LW+2HW+4/3(pi) and I think I am missing something involving a pi, but I do not know how to get it right. The LHW is the box volume. The 2 times the areas are to compensate for the encasing on all sides. The 4/3(pi) is for the unit sphere made in the corners. Can you help me?