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Formulas to find volume in different shapes
Typology: Cheat Sheet
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Areas of Plane Figures
Square Rectangle Parallelogram
s
s
w
l
h
b
A = s
2
A = l • w A = b • h
Triangle Trapezoid Circle
h
b
h
b 1
2
b
r
d
A = ½ b • h A = ½ (b 1 + b 2 ) • h A = πr
2
(π ≈ 3.14 or )
Circumference: C = 2πr = πd
Volumes of Solid Figures
Cube Rectangular Solid
s
s
s
l
w
h
V = s
3 V = l • w • h Surface Area = 2(l • w) + 2(l • h) + 2(w • h)
Prism
Triangular Prism Trapezoidal Prism
h
h
V = B • h, where B = area of base
Pyramid Cone
Rectangular Pyramid Triangular Pyramid
h
h
r
V = 1/3 B • h, where B = area of base V = 1/3 πr
2
h
Cylinder Sphere
