Question

What are the *perimeter* and *area*, or *surface area* and *volume* formulas for the following figures: *rectangle*, *trapezoid*, *circle*, *cylinder*, and *sphere*?

Accepted Answer

**rectangle:**    
*perimeter* = $$2l + 2w$$   
*area* = $$lw$$, where *l* is length and *w* is width   

**trapezoid:**    
*perimeter* = add all sides    
*area* = $$\frac{1}{2}h(b_1 + b_2)$$, where *h* is height, and $$b_1$$ and $$b_2$$ are the two bases   

**circle:**    
*circumference* = $$2\pi r$$    
*area* = $$\pi r^2$$, where *r* is radius   

**cylinder:**    
*surface area* = $$2\pi r^2 + 2\pi r h$$    
*volume* = $$\pi r^2 h$$, where *h* is height and *r* is radius   

**sphere:**    
*surface area* = $$4\pi r^2$$    
*volume* = $$\frac{4}{3}\pi r^3$$, where *r* is radius

Flashcard 9 - Next Generation Advanced Algebra and Functions Flashcard Set for the ACCUPLACER Test

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