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Total painted faces
Start with the outside faces and account for shared joins.
Seven unit cubes are glued together to form the solid shown. The whole outside of the solid is then painted, including the faces that rest on the table. How many faces of the cubes are painted altogether?
Show the step-by-step solution
- faces on 7 loose cubes = 7 x 6 = 42
- the cubes are glued at 6 joins, and each join hides 2 faces = 6 x 2 = 12
- painted faces = 42 - 12 = 30
Ans: 30