olymmath

AMC 8 2008 Problem 16

  • Paper

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?

import three; defaultpen(linewidth(0.8)); real r=0.5; currentprojection=orthographic(1,1/2,1/4); draw(unitcube, white, thick(), nolight); draw(shift(1,0,0)*unitcube, white, thick(), nolight); draw(shift(1,-1,0)*unitcube, white, thick(), nolight); draw(shift(1,0,-1)*unitcube, white, thick(), nolight); draw(shift(2,0,0)*unitcube, white, thick(), nolight); draw(shift(1,1,0)*unitcube, white, thick(), nolight); draw(shift(1,0,1)*unitcube, white, thick(), nolight);

(A) 1:6 (B) 7:36(C) 1:5(D) 7:30 (E) 6:25\textbf{(A)} \:1 : 6 \textbf{ (B)}\: 7 : 36 \textbf{(C)}\: 1 : 5 \textbf{(D)}\: 7 : 30 \textbf{ (E)}\: 6 : 25

Dataset text NuminaMath-1.5. Quoted with source.

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7:30

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