Inch Paper

take a 8 1/2 x 11 inch sheet of paper make a rectangular prism with no top with the greatest volume whats the?

take a 8 1/2 x 11 inch sheet of paper make a rectangular prism with no top that would contain the greatest volume. What are the dimensions?

Suppose your prism is sitting on a table with its base horizontal.
Then a cross section will be the shape you get by cutting it
horizontally at any height; all cross sections will be congruent to
the base (and the top as well). This property is what defines a prism.

Now suppose you want to fill the prism with unit cubes to find its
volume. You should be able to convince yourself that you can make one
layer across the bottom (that is, fill the bottom of the prism to a
depth of one unit) with a number of cubes equal to the area of the
base. (If the base is not rectangular, just cut cubes up and rearrange
them to fit the base, and the number of them will be the same as the
number of unit squares it takes to cover the base itself.)

Now repeat this as many times as necessary to fill the whole prism;
the number of layers needed will be the height of the prism. So the
height times the area of the base is the volume of the prism.

Rolling a 10 inch joint in a single rolling paper

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