
1   A singleserving soup can in the shape of a cylinder was made to hold 179 cm^{3} of soup. The engineer designed the can to minimize the surface area. Find the radius and height of the can.
Minimizing the Surface Area of a Cylinder Worked Example
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  A)  Height 6 cm, radius 6 cm. 
  B)  Height 12 cm, radius 6 cm. 
  C)  Height 6 cm, radius 3 cm. 
  D)  Height 3 cm, radius 6 cm. 


2   A box was designed to hold 512 cm^{3} of dehydrated food for a canoe trip. The surface area was minimized to conserve mass. Find the dimensions of the box.
Minimizing the Surface Area of a SquareBased Prism Worked Example
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  A)  4 cm by 8 cm by 16 cm 
  B)  8 cm by 8 cm by 8 cm 
  C)  2 cm by 16 cm by 16 cm 
  D)  16 cm by 16 cm by 16 cm 
