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Geometry 9-12 / Week 11
Week 11

Volume: Where the Formulas Come From

// Paint, foam and a jug of water

A circle cut into thin wedges and laid in a row is almost a parallelogram, which gives the area πr². A cylinder is a stack of thin discs, so its volume is base area times height. A cube splits into three identical pyramids, and a cone pours three times into the cylinder with the same base and height, so each is one third of its prism or cylinder. The volume of a sphere is 4/3 πr³. Slicing a solid leaves a flat cross-section, and spinning a flat shape sweeps out a solid. This week the crew measures the foam props and the paint with these formulas.

DAYS THIS WEEK

MONDAY

Monday

18 blocks · 4 graded

TUESDAY

Tuesday

18 blocks · 4 graded

WEDNESDAY

Wednesday

18 blocks · 3 graded

THURSDAY

Thursday

17 blocks · 5 graded

FRIDAY

Friday

20 blocks · 5 graded

SHOP DAY

Shop Day

10 blocks · 2 graded

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