Answer:
88 cm²
Explanation:
You want the surface area of the shape in the given figure.
Area
The total surface area will be double the number of colored squares shown.
purple squares = 1×4 +5×2 = 14
blue squares = 1×3 +5×3 = 18
orange squares = 2×3 +2×3 = 12
Total surface area
The total area is then ...
SA = 2(14 +18 +12) = 88 . . . . square centimeters
The surface area is 88 cm².
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Additional comment
The area is double the number of colored squares because the surfaces you can't see have the same area as the surfaces you can see.
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