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Find the volume and total area of the largest cube of wood that can be cut out from a log of circular cross section whose radius is 12.7 in?
Wiki User
∙ 14y ago
To get the largest cube of wood, you would want to cut it out so that the long diagonal is the diameter of the log: 25.4" For a cube of side length s, the diagonal is s√3, so to find the side given the diagonal, we need to divide by √3
25.4 / 1.732 = 14.664"
This is one side of the cube, so the volume is 3153.69 cubic inches. ◄
As for total area, I am not sure what that is asking for. If it is surface area, 87.988 in² is the answer. ■
Wiki User
∙ 14y ago
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