Find the volume and total area of the largest cube of wood that can be cut from a log of circular cross section whose radius is 12.7 in. (use ft. as unit)

Question

fibonaccichick666 · Answer

so, what is the area of that circular cross section?

anonymous · Answer

use pythagorean theorem to get one seide of the cube.

radar · Answer

You need to find the dimension of a square inscribed in the circle of radius 12.7.
Then you multiply that area of square times one more side to calculate the volume of the cube.

radar · Answer

Even if the log is 8 foot long the cube dimensions cannot exceed the length of a side of a square inscribed in that circle.

fibonaccichick666 · Answer

Why do you think Pythagorean?

radar · Answer

That is part of it, cause the diagonal of the inscribed square is equal to the diameter of the circle.

radar · Answer

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