1989 AJHSME Problem 23
Source:
June 25, 2011
geometry3D geometrypyramid
Problem Statement
An artist has cubes, each with an edge of meter. She stands them on the ground to form a sculpture as shown. She then paints the exposed surface of the sculpture. How many square meters does she paint?[asy]
draw((0,0)--(2.35,-.15)--(2.44,.81)--(.09,.96)--cycle);
draw((.783333333,-.05)--(.873333333,.91)--(1.135,1.135));
draw((1.566666667,-.1)--(1.656666667,.86)--(1.89,1.1));
draw((2.35,-.15)--(4.3,1.5)--(4.39,2.46)--(2.44,.81));
draw((3,.4)--(3.09,1.36)--(2.61,1.4));
draw((3.65,.95)--(3.74,1.91)--(3.29,1.94));
draw((.09,.96)--(.76,1.49)--(.71,1.17)--(2.2,1.1)--(3.6,2.2)--(3.62,2.52)--(4.39,2.46));
draw((.76,1.49)--(.82,1.96)--(2.28,1.89)--(2.2,1.1));
draw((2.28,1.89)--(3.68,2.99)--(3.62,2.52));
draw((1.455,1.135)--(1.55,1.925)--(1.89,2.26));
draw((2.5,2.48)--(2.98,2.44)--(2.9,1.65));
draw((.82,1.96)--(1.55,2.6)--(1.51,2.3)--(2.2,2.26)--(2.9,2.8)--(2.93,3.05)--(3.68,2.99));
draw((1.55,2.6)--(1.59,3.09)--(2.28,3.05)--(2.2,2.26));
draw((2.28,3.05)--(2.98,3.59)--(2.93,3.05));
draw((1.59,3.09)--(2.29,3.63)--(2.98,3.59));
[/asy]