ask the noise board

they also gave me: earl grey, irish breakfast, organic rooibos and eucomint (column b)

i want to combine the teas in COLUMN A w/ one or more of the teas in COLUMN B to form delicious blends (cause i hate plain ginger and rose hips, too!) ... what combination is TASTIEST?

how big is 300 octagonal feet compared to 300 square feet?

how big would 800 octagonal feet be compared to 800 square feet? how big would 300 triangular feet be compared to 300 square feet? is there an easy conversion and would there be any advantages to adopting such a system for measuring different types of geometric figures? how do we normalize the n-gon area standard? how about n-volume? arbitrary n-dimensional units? optional physics tie-in: considers all dimensions including 11 and 25.

some people like frosting, while other people don't like frosting. unfortunately, in this dystopian society everyone must receive equal amounts of cake and frosting. however to give people the illusion of choice, we want to maximize the number of possible surfaces of cake and frosting. for example with a rectangular cake you might offer slices with 1, 2, 3 or surfaces with frosting (perhaps even more?). how many different ways are there to do this with a cake? consider all possible cakes.

imagine we have a solution of sewage. or maybe different cooking oils. both of these mixtures can be used to produce green fuels. if we separate them out, we might have three different layers. we can measure their heights and draw them in our lab notebook. how do we use these drawings to figure out percent compositions by volume? what about by mass? what about by the amount of fuel we can get? who are some members of the community who might donate sewage or used cooking oil, and how much of an impact are they making? can we show any of these things in drawings?

three or more layers i should say but with sewage you usually have three or four i think

a ball rolls from corner to corner in an equilateral n-gon. how far does a point in its center travel? its equator? its poles? how about a point at any arbitrary latitude? what if the ball is spinning off-axis to the horizontal?

how do you like these problems i came up with?

what grades do you think could do these problems?

Really there is no such thing as "octagonal feet," but if your definition of an octagonal foot is the area of an equilateral octagon with sides of length 1 foot (as a square foot is the area of a square with sides of length 1 foot) then an octagonal foot would be ~4.828427125 times the size of a square foot.

you can't tessellate octagons like you can squares though.

i probably could have done those problems my senior yr of high school. however, it has been 20 yrs since i was a senior in h.s. and i certainly would have a lot of trouble doing them now.

Nice job. How about triagonal feet?