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# 3D Shapes

### Surface areas and volume of 3D shapes

TermDefinition
2πr circumference of a circle
1/2 d1d2 area of a rhombus
πr² area of a circle
area of a square
1/2 ap area of a regular polygon
h(b1+b2)/2 area of a trapezoid
Ph lateral area of prism
La+2B Total area of a prism
Bh volume of prism
6e² total area of a cube
volume of a cube
1/2 Pl surface area of a pyramid
LA+B total area of a pyramid
1/3 Bh volume of a pyramid
Ch Lateral area of cylinder
LA+2B Total Area of a cylinder
Bh volume of cylinder
1/2Cl Lateral Area of a Cone
LA+B total area of a cone
1/3Bh volume of a cone
4/3 πr³ volume of a sphere
a²+h²=l² slant height
Cube SA = 6(e squared) V = e cubed
Rectangular Prism SA = 2(lw + wh + lh) V = Bh
Prism SA = Sum of the Area of the Bases OR Perimeter of the base times the height + area of two bases V = Bh
Cylinder SA = 2pi(radius squared) + 2pi(rh) V = pir squaredh
Pyramid SA = Sum of the areas of the faces V = 1/3 Bh
Cone SA = pi*r (l+r) V = 1/3 pir squaredh
Sphere SA = 4pir squared V = 4/3 pi*r cubed

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