Calculate the surface area of prisms, cylinders, and spheres.
Rectangular prism: SA = 2(lw + lh + wh) Cube: SA = 6s^2 Cylinder: SA = 2pi r^2 + 2pi rh (two circles + lateral surface) Sphere: SA = 4pi r^2 Surface area = the total area of all outer surfaces.
Example: A cylinder has radius 3 cm and height 8 cm. What is its total surface area?
The lateral surface of a cylinder, when 'unrolled', is a rectangle with width = 2pi r (circumference) and height = h. This helps you visualize why the formula is 2pi rh.
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