A cube shaped block of wood has a side length of (everyone try this one).. its hard!12 centimeters. The cube has a circular hole drilled straight through its center. The radius of the hole is 3 centimeters. What is the surface area of the cube with the hole drilled through it?
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864-54pi is the surface area... that's what I got.
maybe a picture will help visualize:
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thats volume... im looking for surface area
basically, we'd have six faces on the cube, so we take the area of all six squares...
but since we made that hole, we remove that circle on both sides (the hole goes all the way through the block, so its gone from two sides) from the area of those squares (since a hole 'omits' that area from the square, its not part of the surface anymore).
not sure if you include the cylinder from the hole as part of the surface area, if so then you'd also add that surface area of the 'cylinder' that is formed by the hole, excluding the base circle
do you have any numbers i can work with?
im working through the problem myself, and then ill just put my work... :)