2013 AMC 8 Problem 18
Attempt Problem 18 of the 2013 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2013 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
18.
Isabella uses one-foot cubical blocks to build a rectangular fort that is feet long, feet wide, and feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?
Answer: B
Small hint:
Subtract the empty inside volume from the outside rectangular prism.
Big hint:
The inside dimensions are reduced by two feet in length/width and one foot in height.
Video solution:
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Written solution:
The rectangular prism determined by the outside faces has volume cubic feet. The empty inside is smaller by feet in length, feet in width, and foot in height, so its dimensions are .
The empty volume is cubic feet, so the fort contains one-foot cubical blocks.
Thus, B is the correct answer.
Problem 18 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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