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Formulas for Common Geometric Shapes

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2016-03-26 21:21:07
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Algebra II All-in-One For Dummies
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Depending on the algebra problem, you'll need to know some geometry. The following represents some of the most common shapes in geometry and their formulas for perimeter, area, volume, surface areas, and circumference:

Two-Dimensional Shapes
Shape Perimeter/Circumference Area
Rectangle P = 2(l + w) A = lw
Square P = 4s A = s2
Triangle P = a + b + c A = 1/2bh
Trapezoid P = a + b1 + c + b2 A = 1/2h(b1 + b2)
Isosceles Trapezoid P = 2w + b1 + b2 A = 1/2h(b1 + b2)
Circle C = πd = 2 π r A = π r2
Three-Dimensional Shapes
Shape Surface Area Volume
Box SA = 2lw + 2lh + 2wh V = lwh
Sphere SA = 4 π r2 V = 4/3 π r3
Cylinder SA = 2 π r(r + h) V = π r2h

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Mary Jane Sterling (Peoria, Illinois) is the author of Algebra I For Dummies, Algebra Workbook For Dummies, Algebra II For Dummies, Algebra II Workbook For Dummies, and many other For Dummies books. She taught at Bradley University in Peoria, Illinois for more than 30 years, teaching algebra, business calculus, geometry, and finite mathematics.