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jmc

geometry intermediate

Problem

Ten unit cubes are glued together as shown. How many square units are in the surface area of the resulting solid?

problem
Solution
There are 10 cubes, thus, there are 10 sq. units in each of the faces facing towards us and away from us. The figure has a height of 3, so there 6 sq. units total in each of the vertical sides. And the figure has a total width of 4 cubes, so despite the fact that there is overlap, there is still a horizontal width of 4, making for 4 sq. units in each of the horizontal sides, making 8 total sq. units. Thus, there is a total of .
Final answer
34\text{ sq. units}