Geometry Basics at the 700-800 Level

At this level the topic is almost entirely solid geometry inside a word problem. The formulas are given on the reference sheet; the difficulty is the layer wrapped around them — a density, a purchase, a rate, an already-elapsed time, a hidden face.

Five archetypes cover the bank. The scaling trio: multiply every length by $k$ and areas scale by $k^{2}$, volumes by $k^{3}$ — nearly every 'by what percent' item is this rule in disguise, and percent increase is the ratio . , where the leftover piece is as likely to be asked for as the piece you built. — 'how much longer' means subtract what was already spent, and cubic conversions cube the factor ( ft³ in³, not ). : a cone filled to of its height holds of capacity, not .