1989 AJHSME Problems/Problem 23
Problem
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?
Solution
We can consider the contributions of the sides of the three layers and the tops of the layers separately.
Layer (counting from the top starting at ) has side faces each with unit squares, so the sides of the pyramid contribute for the surface area.
The tops of the layers when combined form the same arrangement of unit cubes as the bottom of the pyramid, which is a square, hence this contributes for the surface area.
You do not have to count the side underneath, since it is not exposed.
Thus, the artist paints square meters.
See Also
1989 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 22 |
Followed by Problem 24 | |
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