hi im stuck on this problem:

If a wooden block, 2in height, 3in width, and 6in length is sanded and 1/8 of an inch is removed from the top and from the bottom, how much is the volume of the block decreased?

thank u so much for your time

Hi Wanda,

The volume of a 6 inch by 3 inch by 2 inch block is 6 x 3 x 2 = 36 cubic inches. If you sand  1/8 of an inch off the top, (the orange strip in the diagram below), then the the volume removed is 6 x 3 x   x 1/8 = 9/4 cubic inches.

If you sand off an identical piece from the bottom then you have removed another  9/4 cubic inches and thus the volume has decreased by  9/4 + 9/4 = 9/2 cubic inches.


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