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Key Concepts Quiz 3.5
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1

A single-serving soup can in the shape of a cylinder was made to hold 179 cm3 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 (10.0K)
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 cm3 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 Square-Based Prism Worked Example (10.0K)
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





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