Mistake Master
Mistake Master · SAT Math · Unit 5 · Step-Through Animation
Right Slot, Right Power
You'll learnto place each value in its right formula slot and scale area by k², volume by k³.
Area and volume formulas depend on putting each value in the right slot, and a scale factor compounds once per dimension; points leak in swapping the slots or forgetting a coefficient, scaling areas and volumes by the linear factor instead of its power, and reporting the wrong measure of the figure.
area · volume
Before you start
What you're looking at
A cylinder labeled r = 4 and h = 3, with V = πr²h beneath it, beside a four-habit plan card.
The question
Which value goes in each slot, and how does a scale factor change area versus volume?
Watch for
Watch which letter wears the exponent: the radius is squared in V = πr²h, not the height.
What the symbols mean
r = 4 is the radius, h = 3 the height; V = πr²h is the volume; the card holds the plan.
Bring with you
An edge scale factor k lands once per dimension — an area is two lengths, so it grows by k²; a volume is three, so it grows by k³.
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