2008 AMC 8 Problem 16
Below is the professionally curated solution for Problem 16 of the 2008 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2008 AMC 8 solutions, or check the answer key.
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Difficulty rating: 1150
16.
A shape is created by joining seven unit cubes, as shown. What is the ratio of the volume in cubic units to the surface area in square units?
Solution:
The shape uses unit cubes, so its volume is cubic units.
The center cube has no exposed faces. Each of the six outer cubes has exposed faces, for a total surface area of square units.
The ratio of volume to surface area is .
Thus, D is the correct answer.
Problem 16 in Other Years
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